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ASSEMBLY OF MASSIVE GALAXIES IN A HIGH-z PROTOCLUSTER

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Published 2012 April 23 © 2012. The American Astronomical Society. All rights reserved.
, , Citation Yuka K. Uchimoto et al 2012 ApJ 750 116 DOI 10.1088/0004-637X/750/2/116

0004-637X/750/2/116

ABSTRACT

We present the results of wide-field deep JHK imaging of the SSA22 field using the MOIRCS instrument equipped with the Subaru telescope. The observed field is 112 arcmin2 in area, which covers the z = 3.1 protocluster characterized by the overdensities of Lyα emitters (LAEs) and Lyα blobs (LABs). The 5σ limiting magnitude is KAB = 24.3. We extract the potential protocluster members from the K-selected sample by using the multi-band photometric-redshift selection as well as the simple color cut for distant red galaxies (DRGs; JKAB  >  1.4). The surface number density of DRGs in our observed fields shows clear excess compared with those in the blank fields, and the location of the densest area whose projected overdensity is twice the average coincides with the large-scale density peak of LAEs. We also found that K-band counterparts with zphot ≃ 3.1 are detected for 75% (15/20) of the LABs within their Lyα halo, and the 40% (8/20) of LABs have multiple components, which gives a direct evidence of the hierarchical multiple merging in galaxy formation. The stellar mass of LABs correlates with their luminosity, isophotal area, and the Lyα velocity widths, implying that the physical scale and the dynamical motion of Lyα emission are closely related to their previous star formation activities. Highly dust-obscured galaxies such as hyper extremely red objects (JKAB  >  2.1) and plausible K-band counterparts of submillimeter sources are also populated in the high-density region.

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1. INTRODUCTION

Since the late 1990s, overdense regions of high-redshift galaxies at z  ≳  2 have been discovered and extensively investigated by many authors. The most notable examples are high-density regions of Lyα emitters (LAEs), Lyman break galaxies (LBGs), and their resemblances over the redshift range of 2–5 (e.g., Steidel et al. 1998, 2000; Shimasaku et al. 2003; Ouchi et al. 2005). These studies revealed the properties of the on-going star formation activities in the high-density regions of the universe at high redshift. However, the galaxies selected by the rest-frame ultraviolet (UV) emission may not be the only representative population in such dense regions. For example, sum of the stellar mass of a hundred of LAEs is only 1010–1011M, as the typical LAEs are known to be less massive objects with ∼108–109M (Gawiser et al. 2007; Ono et al. 2010), which corresponds to only one typical massive galaxy.

On the other hand, the overdensities around high-z radio galaxies and QSOs, which are expected to evolve into giant elliptical galaxies, are also observed so far (Kurk et al. 2004; Venemans et al. 2007; Overzier et al. 2009; Hatch et al. 2011). From recent near- to mid-infrared and submillimeter observations, the high-density regions of relatively mature galaxies or highly obscured dusty starbursts are indeed detected around the radio galaxies, or X-ray-selected cluster candidates (Kodama et al. 2007; Daddi et al. 2009; Gobat et al. 2011; Tanaka et al. 2011). The samples are still very limited, however, and the general properties of the protoclusters at high redshift are far from understood.

The protocluster at z = 3.09 in and around the SSA22 field was first discovered by Steidel et al. (1998, 2000) as a significant redshift peak of LBGs with the overdensity of δgal  ∼  5.0 over the 20 Mpc scale comoving volume. Later narrowband observations have found the large-scale filamentary structure of LAEs extending over 60 Mpc (the SSA22-sb1 field; Hayashino et al. 2004). Yamada et al. (2012) revealed that the overdensity of LAEs is in fact the most prominent structure in the larger survey area of 1.38 deg2, corresponding to the comoving volume of 106 Mpc3.

In this field, along the structure of LAEs, there also locate the extremely large, giant Lyα clouds, Lyα blob1 (hereafter LAB1) and blob2 (LAB2) (Steidel et al. 2000), and other 33 Lyα blobs (LABs) (Matsuda et al. 2004, 2011). The objects are considered to be closely related to the early phase of massive galaxy formation in the overdense regions at high redshift (e.g., Yamada 2009). LABs typically have the physical extent of 30–150 kpc and the Lyα luminosity of ≳ 1043 erg s−1. They are mostly found in the high-density regions of star-forming galaxies at z = 2–5 (Matsuda et al. 2004, 2011; Saito et al. 2008; Yang et al. 2010), while the most distant LAB is discovered by Ouchi et al. (2009) at z = 6.6. The origin of the strong and extended Lyα emission is still unclear; it may be powered by cold gas accretion (Haiman et al. 2000; Goerdt et al. 2010), or by galactic superwinds (Taniguchi & Shioya 2000; Mori & Umemura 2006), or by photoionization induced by intense starbursts or active galactic nuclei (AGNs; Chapman et al. 2001; Geach et al. 2009). Recent studies based on X-ray and mid-infrared observations suggest that a significant amount of LABs has an indication of AGNs which can power the extended Lyα emission (Lehmer et al. 2009; Geach et al. 2009; Webb et al. 2009).

Uchimoto et al. (2008) carried out a deep near-infrared observation in the southern part of the SSA22a field (Steidel et al. 2000). In the field (hereafter referred as SSA22-M1), they found density excesses of distant red galaxies (DRGs; Franx et al. 2003) and the photometric redshift (hereafter photo-z) selected objects in the vicinity of LAB1 and LAB2. Moreover, they showed that the stellar mass of K-selected objects associated with eight LABs are in the range of M* = 109–1011M, and they are correlated with their luminosity of Lyα emission. Since the observed field of view (FOV) is not large enough to cover the entire high-density region of LAEs, the stellar mass distribution over the entire high-density structure was not very clear.

In this paper, we present the results of the new deep and wide near-infrared (NIR) imaging of the protocluster at z = 3.09 in the SSA22-sb1 field by using Multi-Object Infra-Red Camera and Spectrograph (MOIRCS; Suzuki et al. 2008) mounted on 8.2 m Subaru telescope. Here, we construct the large NIR-selected sample of protocluster galaxies down to K = 24.3 along the filamentary, high-density structure of LAEs at z = 3.09. The limiting magnitude corresponds to the stellar mass ≳ 3 × 109M assuming the typical spectral energy distribution (SED) of LBGs at z  ∼  3. We will focus on the stellar mass assembly in the protocluster at z = 3.1 in this paper. Our scientific goal is to reveal how much of the stellar mass has already formed and assembled in the protocluster. In other words, we would like to see the relation between the structure traced by the star formation activity and that traced by the stellar mass.

We will describe the observation and the data analysis method in Section 2. The sample selection by the photometric redshift (photo-z) as well as by the simple color cut will be described in Section 3. The properties of all the selected objects and Ks-band counterparts of LABs will be explained in Section 4. In Section 5, we will discuss our results in terms of the mass assembly history in the protocluster.

We use the cosmological parameter values ΩM = 0.3, ΩΛ = 0.7, and H0 = 70 km s−1 Mpc−1 throughout this paper. All the magnitude values are in AB system (Oke & Gunn 1983; Fukugita et al. 1996), unless explicitly noted. Conversions between the Vega and the AB systems are made using the following equations: J = JVega + 0.95, H = HVega + 1.39, K = KVega + 1.85.

2. OBSERVATIONS AND DATA

J-, H-, and Ks-band images were obtained by using MOIRCS equipped with Subaru telescope, whose FOV is 4' × 7'. The observed fields are located in SSA22-Sb1 (Matsuda et al. 2004). The observations were carried out on 2005 June and August, 2006 July, 2007 September, and 2008 May. The summary of the observations is listed in Table 1.

Table 1. Summary of the Observations

Field Center Position Filter Date Seeing Exposure
(size) R.A. Decl.   (HST) (arcsec) (hr)
SSA22-M1 22:17:33.9 00:12:14.0 J 2005 Jun 15 0.53 0.9
(7' × 4')     H 2005 Aug 14, 2006 Jul 22 0.48 1.0
      Ks 2005 Jun 14, 15, Aug 14 0.43 1.5
        2006 Jul 22    
SSA22-M2 22:17:31.9 00:15:44.0 J 2006 Jul 22 0.51 0.9
(7' × 4')     H 2006 Jul 22 0.47 0.6
      Ks 2006 Jul 22, 2007 Sep 24 0.47 1.1
SSA22-M3 22:17:16.6 +00:17:58.7 J 2007 Sep 22 0.48 2.0
(4' × 3farcm5)     H 2007 Sep 22, 23 0.59 1.7
      Ks 2007 Sep 22 0.51 1.2
SSA22-M4 22:17:52.8 +00:16:15.4 J 2007 Sep 22, 23 0.60 2.0
(4' × 3farcm5)     H 2007 Sep 23 0.50 1.6
      Ks 2007 Sep 22, 23 0.53 1.5
SSA22-M5 22:17:07.4 +00:21:07.5 J 2007 Sep 24 0.67 2.1
(4' × 3farcm5)     H 2007 Sep 24 0.46 1.1
      Ks 2007 Sep 23, 24 0.47 1.3
SSA22-M6 22:17:28.7 +00:19:07.5 J 2008 May 16, 17 0.47 1.2
(7' × 4')     H 2008 May 17 0.54 0.6
      Ks 2008 May 16 0.41 1.0

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We observed the six regions, which are referred as SSA22-M1 to M6. The schematic feature is shown in Figure 1. The name of the observed field is also shown in the figure. The area of the three fields, M3, M4, and M5, are 4' × 3farcm5, since the half of the FOV was not available in 2007 due to the detector trouble. The early results for the SSA22-M1 field, corresponding to the southern part of SSA22a (Steidel et al. 1998), was published in Uchimoto et al. (2008). The additional data taken for the SSA22-M1 fields also analyzed in this paper.

Figure 1.

Figure 1. Observed area in the SSA22-Sb1 field. The rectangles (red) indicate each field of view, in which the names of the observed fields are also shown. Contours (black) are 1σ, 1.5σ, 2σ density levels of LAEs. LABs are indicated with circles (blue). The cross shows the density peak of LAEs identified in Yamada et al. (2012).

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The images are reduced in standard manner with the MCSRED software package11 provided by Ichi Tanaka (Subaru Telescope) and his colleagues. Uchimoto et al. (2008) can be referred for the detailed description. The effective area of the final image is 111.8 arcmin2. The typical image size (FWHM) ranges from 0farcs4 to 0farcs6, and the limiting magnitude ranges from 24 to 25 mag. The details are listed in Table 2.

Table 2. The Limiting Magnitude in Each Field

Observed Area Ka Jb Kb Jc1 Hc1 Kc1 Jd Hd Kd
  (1''ϕ, 5σ) (1farcs1ϕ, 5σ) (1farcs4ϕ, 5σ) (2farcs0ϕ, 5σ)
SSA22-M1 24.4 24.6 24.5 24.4 24.0 24.1 23.9 23.5 23.6
SSA22-M2 24.3 24.6 24.2 24.2 24.0 23.9 23.6 23.5 23.4
SSA22-M3 24.3 25.0 24.3 24.7 24.0 24.1 23.2 23.6 23.6
SSA22-M4 24.3  ⋅⋅⋅  ⋅⋅⋅ 24.3 24.2 23.8 23.6 23.5 23.3
SSA22-M5 24.2  ⋅⋅⋅  ⋅⋅⋅ 24.2 23.8 23.9 23.9 23.3 23.5
SSA22-M6 24.3 24.7 24.3 24.3 23.8 24.0 23.7 23.4 23.5

Notes. aMeasured in original images with seeing FWHM in Table 1. bMeasured in smoothed images with 0farcs5 FWHM. cMeasured in smoothed images with 0farcs7 FWHM. dMeasured in smoothed images with 1farcs0 FWHM.

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For the detection and photometry, we use SExtractor (version 2.3; Bertin & Arnouts 1996). The objects which have more than 16 connected pixels above 1.5σ in surface brightness are selected. The SExtractor MAG_AUTO value is adopted as the K-band pseudo total magnitude. We calibrated our NIR data to the United Kingdom Infrared Telescope photometric system (Tokunaga et al. 2002).

For the J − K color measurement, all the images of the SSA22-M1, M2, M3, and M6 fields are smoothed to be matched with 0farcs53, the largest point-spread function (PSF) of the J-band images in M1. On the other hand, the FWHM in M4 and M5 are slightly larger, as shown in Table 1. We therefore matched the PSFs in M4 and M5 to 0farcs67. The J − K color was measured by a 1farcs1 (9 pixels) diameter aperture in M1, M2, M3, and M6, and by a 1farcs4 (12 pixels) diameter aperture in M4 and M5, and we applied a small aperture correction less than 0.1 mag to the aperture magnitudes of the sources in M4 and M5. Figure 2 shows the J − K versus K color–magnitude diagrams for the four regions with better image quality, and Figure 3 shows that in the two regions with relatively poor image quality. In SSA22-M1, M2, M3, and M6, the J-band images are deep enough to select the DRG sample (JK  >  1.4) down to K = 24.0. The completeness in the shallowest M4 field is still 90% at K = 23.8.

Figure 2.

Figure 2. J − K vs. K color–magnitude diagram of the K-selected objects in SSA-M1, M2, M3, and M6. The diameter of aperture photometry of nine pixels (1farcs1) is used for color measurement. The objects fainter than the J-band detection limit is shown by the arrows.

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Figure 3.

Figure 3. Same as Figure 2, but for the K-selected objects in SSA22-M4 and M5. The diameter of aperture photometry is 12 pixels (1farcs4).

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To estimate the photometric redshift, we also use the optical BVRi'z'-band data obtained by Matsuda et al. (2004) with Subaru/Suprime-Cam as well as u*-band data taken by Canada–France–Hawaii Telescope/MegaCam (taken by P.I. L. Cowie). As the image size in optical and ultraviolet (UV) data is 1farcs0 in FWHM, we smoothed the J-, H-, and K-band images to be matched with the optical ones and measured the colors in 2'' aperture for that purpose.

The Galactic extinction was corrected by adopting the average value at the field, E(BV) = 0.08 (Schlegel et al. 1998).

3. SAMPLE SELECTION

Here, we select the potential protocluster members from the K-selected sample. Since K band corresponds to rest-frame V band at z  ∼  3, the K-band luminosity of z = 3 galaxies nearly reflect their stellar mass (Kajisawa et al. 2009). The nominal stellar mass limit at K = 24.0 corresponds to ∼109.5M.

We adopted the two kinds of selection criteria; one is the photometric redshift analysis by using u*BVRi'z'JHK data, and the other is the simple color-cut method. While full photometric redshift analysis is useful, it is still inevitable to have some scatters and a fraction of catastrophic failure if the photometric errors are ineligible and the limited model templates are used. As the photometric redshift needs the optical images with poorer image quality, it suffers from the relatively large photometric error due the larger photometric apertures (see above). A simple color selection such as DRGs thus works as a complementary method not only as they are simple and reproducible but also as the photometric error is relatively small especially for the fainter objects.

3.1. Photometric Redshift of the K-selected Sources

Using the multi-band photometric data, we obtained the photometric redshift of the K-selected sources using the hyperz code (Bolzonella et al. 2000). The SED fitting is performed with the redshift, spectral type, age, and dust extinction as the free parameters. The best-fit SED is determined by minimizing the χ2 value. The template spectra we used are those for the simple stellar population with the fixed (solar) metallicity from GALAXEV by Bruzual & Charlot (2003).

Figure 4 shows the photometric redshifts for the spectroscopic redshifts obtained in the previous literature and the NASA/IPAC Extragalactic Database (NED). The relative errors, (zphotozsp)/(1 + zsp), are also shown in the bottom panel. The errors are similar if compared with those in the previous studies (e.g., Ichikawa et al. 2007). The uncertainty of Δz  ∼  0.5 at z  ∼  3 remains since the Balmer/4000 Å break is shifted in the middle of H band.

Figure 4.

Figure 4. Comparison between photometric redshift and spectroscopic redshift for the K-selected objects in the SSA22-M1, M2, M3, M4, M5, and M6 fields. The relative errors (zphotozsp)/(1 + zsp) are indicated in the bottom panel.

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The median photometric redshift of 26 LBGs with 3.06  <  zspec  <  3.13 is zphot = 3.11 and the standard deviation is 0.08. Ninety-two percent of the LBGs is in the range of 2.6  <  zphot  <  3.6. We therefore pick up the objects with 2.6  <  zphot  <  3.6 as the candidate galaxies at z = 3.1. We finally selected 474 objects brighter than K = 24.

3.2. Selection of Distant Red Galaxies (DRGs)

The red J − K color of DRGs is due to the Balmer or 4000 Å break of galaxies at z  ≳  2, or to the dust extinction (Franx et al. 2003; Reddy et al. 2005; Förster Schreiber et al. 2004). Wuyts et al. (2009) confirmed by spectroscopic observation that DRGs with KVega  <  22.5 (KAB  <  24.35) are dominated by z  >  2 galaxies. In the GOODS-North field, 86% of DRGs are in the range of 2  <  zphot  <  4 (Kajisawa et al. 2011), and the median photometric redshift is zphot = 2.5.

We used the same criteria as in Kajisawa et al. (2006), which corresponds to JKAB  >  1.4 in our photometric system. In our data, we sampled 356 DRGs with K  <  24 in the whole observed area. The distribution of the photometric redshifts for DRGs is shown in Figure 5. We find that 70% of DRGs in the SSA22 area are located at 2  <  zphot  <  4. The median photometric redshift is zphot = 2.6.

Figure 5.

Figure 5. Histogram of the estimated photometric redshift of DRGs and HEROs with K < 24.0. The red histogram shows the numbers of DRGs and the hashed histogram shows the numbers of HEROs.

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We compared the current sample of DRGs with the previously known sample of LBGs (Steidel et al. 2003). In the area of SSA22a, which has a substantial overlap with our MOIRCS fields, they listed in total of 171 LBGs including those without spectroscopic redshift (29 objects have the redshift between z = 3.06 and 3.12). Of them, only the four objects (SSA22a-C54, SSA22a-M14, SSA22-MD39, and SSA22a-aug96C20) meet the J − K color criteria. The K-band counterpart of SSA22a-M14a is, however, displaced from the optical source and may not be the same object or the same region in a galaxy. The spectroscopic redshift of SSA22a-aug96C20 is 1.357. No spectroscopic redshift is available for SSA22a-C54 and SSA22a-MD39.

We also checked the optical colors of our sample of DRGs to see how many have the colors match the LBG criteria. Among the 356 objects with K  <  24, 7 objects with R  <  25.5, magnitude limit for the spectroscopic sample of Steidel et al. (2003), and 23 objects with R  >  25.5 satisfies the LBG criteria adopted here, u* − V  >  2.9(VR) + 0.37, VR  <  0.5, and u* − V  >  1.4. These numbers should be referred carefully as the color selection only properly works for those objects with high photometric accuracy (>10σ in V & R). The optical colors of those optically faint red objects are largely scattered due to the photometric errors. In conclusion, we found that the overlap between the current samples of DRG and LBG is very small.

3.3. Selection of Hyper Extremely Red Objects (HEROs)

We also sampled hyper extremely red objects (HEROs; Totani et al. 2001) with JKAB  >  2.1 as a subset of DRGs. Totani et al. (2001) suggested that the extremely red color in J − K is well explained by primordial elliptical galaxies reddened by dust and still in the starburst phase at z  ∼  3. Indeed, in the GOODS-North field, all of the HEROs are in the range of 2 < zphot < 4 (Kajisawa et al. 2011), and the median photometric redshift of HEROs is zphot = 3.0.

The number of HEROs in the observed field is 31. We find that 94% (29/31) of HEROs in our field are classified as 2  <  zphot  <  4. The median photometric redshift of HEROs is zphot = 2.7.

It should be noted that the result of the SED fitting for the HEROs tends to include relatively large uncertainty due to their extreme red color. Fifty-five percent of the HEROs are not detected in J band at 2σ level (see Figures 2 and 3). The number of the HEROs which are detected only in K band is four while the rest of the objects are detected at least in the relatively deeper R-band image.

4. RESULTS

4.1. The Distributions of the K-selected Objects in the SSA22 Field

The distributions of the K-selected objects with zphot = 2.6–3.6 and DRGs on the sky are shown in Figure 6, where LABs (Matsuda et al. 2004) and LAEs (Hayashino et al. 2004) are also plotted. The figure shows the samples with the magnitude limit of K  <  24.0. The dotted lines are the region observed with MOIRCS. We note that the noisy area at the center of the SSA22-M6 field is removed for the DRGs selection to avoid the spurious detection. The solid contours delineate the high-density region of the LAEs in Hayashino et al. (2004).

Figure 6.

Figure 6. Top: the distribution of photo-z selected galaxies (zphot = 2.6–3.6) (open pentagons, red). Bottom: the distribution of DRGs (open circles, red). LABs (Matsuda et al. 2004) and LAEs (Hayashino et al. 2004) are indicated with large open circles (blue) and open squares (cyan), respectively. The observed fields with MOIRCS are surrounded with the dotted lines. The contour shows the high-density region of the LAEs (Hayashino et al. 2004). The cross is the density peak of LAEs identified in Yamada et al. (2012).

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In order to investigate whether there is an excess in number density of the galaxies in the SSA22 protocluster compared with the blank fields, we first investigate the surface number density of DRGs. The cumulative and differential number counts of DRGs in the whole field are shown in Figure 7. The DRG counts show the excess at K > 23 compared to those in all the three blank fields, namely, the GOODS-North field (MOIRCS Deep Survey; Kajisawa et al. 2006, 2011), the GOODS-South field, and the HDF-South field (Grazian et al. 2006). The completeness fraction and the 90% limits in SSA22-M1 (deepest) and M4 (shallowest) are also plotted. The cumulative number density of DRGs in the entire observed field is 3.1 arcmin2 down to K = 23.85, which is ∼ 33% larger than that in GOODS-N.

Figure 7.

Figure 7. Left: cumulative number counts of DRGs in SSA22-MOIRCS (M1, M2, M3, M4, M5, and M6; open circles) in comparison with those for DRGs in GOODS-N (crosses), GOODS-S (open squares), and HDF-S (open triangles). The detection completeness in K band in SSA22-M1 (deepest) and M4 (shallowest) is shown with the smaller dotted line. The Poisson errors are shown by the error bars. Right: differential number counts of DRGs in SSA22-MOIRCS.

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Figure 8 shows the DRG number counts in each FOV. The number density in GOODS-N and the 90% completeness fraction are also plotted in the figure. The densest fields are SSA22-M3 and M6, which overlap with each other, followed by SSA22-M4, M2, M5, and M1. The number density of the DRGs in M6 is 2.1–1.8 times larger than that in GOODS-N at K = 23–23.5. In addition, the excess of HEROs is found in this field (see Sections 5.1 and 5.3). Our observed fields cover the highest density peak of LAEs observed by Matsuda et al. (2011) and Yamada et al. (2012) in the 1.38 deg2 survey area (Figure 1). The outstanding density peak of LAEs with the size of ≈3 arcmin lies in SSA22-M3 and M6, whose location is shown by the cross symbol in Figures 1 and 6. The fact that the largest overdensity of DRGs appears at around the highest density peak of LAEs suggests that the stellar mass distribution traces the structure of LAEs in the scale of several arcminutes, or a few Mpc at z = 3.1.

Figure 8.

Figure 8. Cumulative number counts for DRGs in SSA22-M1, M2 (left), M3, M6 (middle), and M4, M5 (right) in comparison with those in GOODS-N (crosses). The number counts and the detection completeness in each field are shown with the same color. The error bars show the Poisson errors.

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We also investigated the surface number density of photo-z selected objects and found that the counts of the objects at 2.6  <  zphot  <  3.6 in the SSA22 fields are larger than those in the GOODS-N field (see Figure 9 below). The direct comparison of the two samples should be discussed carefully, however, since the depth or the photometric uncertainty of them is different.

Figure 9.

Figure 9. Top: the surface number density of K-selected objects with zphot = 2.6–3.6 in a circular ring of 0.1 arcmin width as a function of radial distance from LABs or LAEs. The surface number densities from LAB1 and LAB2, LABs except LAB1 and LAB2, and LAEs are shown by filled circles (red), crosses (black), and open squares (green), respectively. The mean densities of DRGs in SSA22 and GOODS-N are indicated with dotted and solid lines, respectively. Bottom: the surface number density of DRGs in a circular ring of 0.1 arcmin width.

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These results for the K-selected galaxies can be compared with the surface density of LBGs in the SSA22 fields. Steidel et al. (2003) found the average surface density of the color-selected LBG candidates with R  <  25.5 to be 1.72 arcmin−2. While the surface density of the 11 fields observed with the Palomar 200 inch telescope ranges from 1.10 to 2.15 arcmin−2, the density in SSA22a and SSA22b are 1.88 and 1.15 arcmin−2, respectively. The higher contrast of the protocluster in the K-selected galaxies is due to the fact that the more stellar massive galaxies traced by the K-band sample have intrinsically much stronger clustering properties and may be easier to be dominated by a single large structure.

4.2. K-band Counterparts of Lyα Blobs

As seen in Figure 6, photo-z selected objects and DRGs are frequently seen around the position of LABs. We investigate the spatial correlation between these K-selected objects and rest UV-selected galaxies (LABs and LAEs) in the field. Figure 9 shows the surface number densities of K-selected objects as a function of a radius from LABs and LAEs. As shown in the figure, we found that the K-selected objects are correlated with LABs within a radius of 6'', which corresponds to 50 kpc scale at z = 3.1. This implies that these objects are likely to associate with LABs. On the other hand, no significant correlation between LABs and K-selected objects at the larger scale is detected.

In contrast with LABs, LAEs are not correlated with K-selected objects in scale of less than 1 arcmin while the large-scale density peaks of LAEs and K-selected objects coincide (Section 4.1). Most of the LAEs are not detected in the K-selected images to the limit except for some HEROs (see Section 5.3.1). The expected typical luminosity of LAEs in the SSA22 protocluster is K ≃ 26.3, which is estimated from the stacked image of LAEs that are not detected in K band individually. The result is consistent with that of LAEs in a field environment (Ono et al. 2010).

Here, we describe the detailed near-infrared properties of LABs. The number of the LABs (Matsuda et al. 2004) in our observed fields is 20, and the K-band counterparts are detected for 75% (15/20) of them. Figure 10 show the images of the 15 LABs, which have plausible K-band counterparts. Each panel has a length of 23farcs4 on a side, which corresponds to 180 kpc at z = 3.1. Circles are photo-z selected objects and DRGs with zphot = 2.6–3.6 are colored red. Red squares are DRGs with zphot < 2.6 or zphot  >  3.6. The contours are isophotal area of Lyα emission with surface brightness of 28.0 mag arcmin−2 obtained by the narrowband observation in Matsuda et al. (2004).

Figure 10.
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Figure 10.

Figure 10. K-band images around 15 LABs (Matsuda et al. 2004), which have K-counterpart candidates. The size of each panel is 23farcs4, which corresponds to 180 kpc at z = 3.1. The green contours are the isophotal levels of 28.0 mag arcsec−2 in NB497. The circles (black or red) indicate K-selected objects with zphot = 2.6–3.6. The red circles are DRGs with zphot = 2.6–3.6. The red squares are DRGs at other redshift range (zphot  <  2.6 or zphot  >  3.6). The objects with numbers are adopted as K-band counterparts of the LABs. The blue circle in LAB2 is centered on the position of LBG M14 in Steidel et al. (2003).

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Since the expected average surface number of DRGs or photo-z selected objects is only ∼0.03 in the median Lyα isophotal area of 23 arcsec2, or 0.0012 arcsec−2 in surface density, it is interesting that a significant number of K-selected objects are detected around the LABs in our field. Table 3 shows K-band magnitude, J − K color, zphot, and zspec of the K-selected objects in Figure 10. Spectroscopic redshifts of 11 photo-z selected objects including 9 LBGs listed in Table 3 have been confirmed to be zspec = 3.1.

Table 3. Near-infrared Properties of LABs

LAB K err J − K err zphot zspec Comment
LAB1              
1 22.02 0.10 1.24 0.23 3.38    
2 22.97 0.11 1.47 0.34 3.08 3.097 DRG
3 23.34 0.11 1.15 0.31 3.18 3.109 LBG C11a
4 23.69 0.19 >1.08  ⋅⋅⋅ 3.35    
5 23.97 0.22 0.76 0.51 0.05    
6 24.57 0.23 >0.78  ⋅⋅⋅ 2.96    
LAB2              
1 22.56 0.10 2.07 0.38 3.04   DRG
2 22.91 0.11 1.68 0.42 3.00 (3.091) DRG, vicinity of LBG M14b
3 23.68 0.20 >1.03  ⋅⋅⋅ 3.25    
4 24.30 0.14 0.41 0.52 2.98    
5 24.51 0.26 0.75 0.66 3.65    
LAB3              
1 22.54 0.12 1.47 0.29 3.10   DRG
LAB5              
1 22.33 0.10 1.61 0.19 2.65   DRG
LAB7              
1 23.49 0.12 >1.26  ⋅⋅⋅ 3.19 3.098 DRG, LBG C6
2 23.65 0.13 0.19 0.26 2.65 3.093 LBG M4
3 23.97 0.18 0.71 0.61 3.35 (3.098) (LBG C6), vicinity of 1
LAB8              
3 24.35 0.28 0.66 0.47 3.35 3.094 LBG C15
LAB11              
1 23.79 0.17 0.65 0.33 2.79 3.0748 LBG C47
2 24.49 0.23 1.07 0.47 2.71 (3.0748) LBG C47,vicinity of 1
3 24.94 0.24 0.59 0.70 3.35 (3.0748) LBG C47,vicinity of 1
LAB12              
1 22.11 0.10 2.14 0.45 2.12   DRG
2 23.67 0.21 1.16 0.35 3.40 3.094 LBG M28
3 24.33 0.18> 1.29  ⋅⋅⋅ 3.36 (3.094) (LBG M28), vicinity of 2
LAB14              
1 22.45 0.11 1.81 0.34 3.10 3.089 DRG
LAB16              
1 22.99 0.11 0.92 0.24 2.71    
2 24.22 0.23 >1.11  ⋅⋅⋅ 3.35    
LAB20              
1 23.30 0.11 0.93 0.36 2.58 3.118 LBG C12
LAB24              
1 23.36 0.13  ⋅⋅⋅  ⋅⋅⋅ 3.08   DRG
LAB27              
1 22.83 0.12 1.28 0.26 2.83    
2 22.83 0.12 0.92 0.34 2.76    
3 23.79 0.13 0.96 0.40 2.81    
4 23.96 0.17 >0.89  ⋅⋅⋅ 3.42    
LAB30              
1 22.96 0.11 0.79 0.20 3.02 3.086 LBG D3
2 23.51 0.19 0.39 0.31 3.23    
LAB31              
1 23.20 0.11 1.36 0.35 2.87 3.076 LBG C4
LAB35              
A 21.73 0.10 2.45 0.26 3.06   DRG
B 23.04 0.11 1.85 0.54 0.84   DRG

Notes. aID of the LBG in Steidel et al. (2003). b0farcs9 apart from the rest-frame UV source.

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On the other hand, we detect no K-band counterparts for five LABs, LAB9, 19, 25, 26, and 35, as shown in Figure 11. Please note that we plot all photo-z selected objects and DRGs even below the nominal magnitude limit. Detailed description for each object is given below.

Figure 11.

Figure 11. K-band images around five LABs (Matsuda et al. 2004), which have no K-counterpart candidates. The right bottom panel shows the close pair of LAB9 and LAB26. The symbols are the same as Figure 10. The LBG near LAB35 is identified as a foreground object at z = 3.027 (see the text).

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4.2.1. LABs with K-band Counterparts

We identified the K-band counterparts of the LABs, which are numbered in Figure 10. There are the two types of LABs among them, those with a single or with multiple K-band counterparts. LAB3, 5, 8, 14, 20, 24, and 31 are associated with a single component. The other eight LABs, LAB1, 2, 7, 11, 12, 16, 27, and 30, have the multiple components.

LAB1 has six K-band components within the Lyα halo, and components 4, 5, and 6 are newly detected in this deeper K-band image. While the best-fit SED of #5 gives the photo-z outside the criteria zphot = 2.6–3.6, it is still a possible counterpart at z ≃ 3.1 if the large photometric errors in NIR are taken into account. There is a DRG (#2) near the center of the LAB, and one LBG at z = 3.109 (#3) in the southwest from the center. As suggested in Uchimoto et al. (2008), a deficit of Lyα emission is found at the position of #1. No X-ray source is detected (Lehmer et al. 2009), and there is no indication of AGNs at the moment. MIPS 24 μm emission is detected at the position of #1 as well as the region in the east from the center. The spectroscopic redshift at the Lyα emission peak and at the position of #2 agrees to be 3.097 (Ohyama et al. 2003). Near #4, the optical continuum object is detected in a high-resolution Hubble Space Telescope (HST) image (Chapman et al. 2004; Bower et al. 2004).

LAB2 is associated with five K-band components. #1 is a DRG and the brightest in K band, but the photometric redshift is slightly lower than our current criteria. #2 is a DRG and the second luminous K-selected object. There is an LBG at z = 3.091 in vicinity (indicated with a blue circle), 0farcs9 apart from #2. #3, #4, and #5 are newly detected objects. An X-ray source is detected near the position of the LBG, suggesting that there exists an AGN. MIPS 24 μm source is not detected at the position of the K-band sources.

LAB3 is associated with a single DRG, while two photo-z selected objects are located in vicinity in the east. This LAB is detected in X-ray, suggesting an AGN activity.

LAB5 is also associated with a single DRG. This object is detected in X-ray, suggesting an AGN activity. The shape of Lyα emission is elongated, or filamentary.

LAB7 is associated with the three K-band components. Detection of an LBG at z = 3.098 was reported in Steidel et al. (2003), but they are separated in two objects in our high-resolution K-band image (#1 and #3). #2 is also an LBG at z = 3.093.

LAB8, which can be to be a part of LAB1, has an LBG at z = 3.094. The K-band counterpart is newly detected.

LAB11 includes three photo-z selected objects within the Lyα halo. The spectroscopic redshift of the unresolved optical counterpart is 3.0748.

LAB12 has three photo-z selected objects. #1 is a DRG, and an LBG is marginally separated in two objects (#2 and #3). An X-ray source is detected at the position of #1. #1 is one of the most massive galaxies associated with LABs.

LAB14 is associated with a single DRG, which is detected in X-ray and MIPS 24 μm (Webb et al. 2009). One of the most massive galaxies associated with LABs.

LAB16 has the two photo-z selected objects within the Lyα halo. #2 is newly detected.

LAB20 is associated with a single photo-z selected object, which is an LBG at z = 3.118. The deficit of Lyα emission is seen at the position of the K-band source.

LAB24 is associated with a K-band source. Unfortunately, the color is not available as it is located at the edge of our images.

LAB27 has the four photo-z selected sources. The shape of Lyα emission is filamentary.

LAB30 has the two photo-z selected sources. #1 is an LBG at z = 3.086. #2 is newly detected.

LAB31 is associated with a single photo-z selected object, which is an LBG at z = 3.076. The shape of Lyα emission seems round.

Except for LAB1, the most massive four LABs (LAB2, 3, 12, 14) are detected in X-ray, which suggests that AGN activity. In addition, the luminous seven LABs have DRGs in their vicinity, suggesting that the LABs are associated with dusty starburst galaxies.

The detection of the multiple K-band components in LABs suggests that we are witnessing "on-going assembly" or "hierarchical multiple merging" events of massive galaxy formation (White & Rees 1978; Kauffmann & White 1993; Cole et al. 1994; Meza et al. 2003; Naab et al. 2007). The detailed discussion is given in Section 5.2.

4.2.2. LABs with No K-counterparts

Five LABs, LAB9, 19, 25, 26, and 35, which have no photo-z selected counterparts, are shown in Figure 11. Those LABs have no luminous NIR and optical counterparts in Lyα halos, while LAB9, 19, and 35 have optical components within a halo which are classified as foregrounds in our analysis. In addition, LAB9 and LAB26 seem to be a close pair on the sky as shown in the right bottom panel in Figure 11, while the object located between LAB9 and LAB26 is also supposed to be a foreground object in our analysis. Additionally, the five LABs are not detected either in X-ray (Geach et al. 2009) or MIPS 24 μm (Webb et al. 2009). These LABs are supposed to be less massive objects with at least ≲ 1010M. These objects can be predominantly excited by the cold gas accretion (Goerdt et al. 2010). Matsuda et al. (2011) suggested that the filamentary morphology of the nebulae may be the sign of cold accretion, although not all of the five LABs have such filamentary structures.

Among them, only LAB35 has plausible counterparts in vicinity, which are one LBG and two DRGs. The redshift of the LBG is spectroscopically confirmed as z = 3.027, which is a bit outside of the protocluster system. In addition, one of the two DRGs, B in Figure 11, is classified as a foreground in our photo-z. On the other hand, the other DRG, which is indicated as A in Figure 11, has a photo-z in the range of zphot = 2.6–3.6 and associated with an emission-line object. The question is whether the object A is related to LAB35 or not. The redshift of the object A (either the mission line component or the continuum) has not been determined spectroscopically, while LAB35 is already known to be at z = 3.098. Their projected separation is 66 kpc if they are at the same redshift. The Lyα emission of the two objects does not show any indication of their connection; the emission at the object A and LAB35 are clearly snapped from each other and there is no counterpart between them in any wavelength.

5. DISCUSSION

5.1. Massive Galaxies in the SSA22 Field

In order to determine whether massive galaxies have already been formed in the high-redshift protocluster, we investigate the distribution of the stellar mass of the K-band selected objects in the SSA22-M1 to M6 fields. The stellar mass is derived from the SED fitting of the BVRi'z'JHK photometric data. Spectral types, ages, and dust extinction are treated as free parameters. The redshifts are fixed at the photometric redshifts described in Section 3.1, while the spectroscopic redshifts are used for LBGs if available. The redshifts of the K-selected objects in LABs described in Section 4.2.1 are fixed at z = 3.1. We used the template spectra obtained from GALAXEV (Bruzual & Charlot 2003) with star formation histories with e-folding time τ =0, 1, 9 Gyr. The best-fit SED is determined from the minimum χ2 value. It should be noted that only the objects fitted with χ2 < 1 (85% of the sample) are used for the following discussion.

Figure 12 shows the sky distribution of the K-selected galaxies with M* > 1011M. These red massive galaxies are supposed to be the representative population in the SSA22 protocluster. While the number density of the galaxies with M* > 1011M in GOODS-N is 0.16 ± 0.04 arcmin−2, it was 0.37 arcmin−2 in SSA22, 2.3 times larger.

Figure 12.

Figure 12. Sky distribution of photo-z selected objects with M* > 1011M (filled circles, red). LABs are indicated with large open circles (blue). The 1σ and 2σ density levels of LAEs are shown with the black and cyan contours. The cross shows the density peak of LAEs.

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In Figure 12, the surface number density of the massive galaxies is the highest near the peak of the LAE density (cross) although a little bit shifted to the south. There are 14 galaxies within 4' × 7' (≈MOIRCS FOV) area, which gives the surface density of 0.5 arcmin−2 or 3.1 times of the average of the GOODS-N field.

On the other hand, we note that the number densities of DRGs and massive galaxies in SSA22-M1 are the smallest among the observed six fields. This is interesting as the SSA22-M1 field is the densest region of LABs and the two largest LABs (LAB1 and LAB2) locate in the area. The field is ∼10 Mpc (in comoving scale) away from the density peak of LAEs.

Massive galaxies in protoclusters at z  >  2 have been identified in some other fields mostly around the radio galaxies. Steidel et al. (2005) identified a protocluster at z = 2.3 in the HS 1700+643 field, which contains a significant number of old and massive galaxies. From their spectroscopic sample in the ∼70 arcmin2 field, there are at least three member galaxies with >1011M. Kodama et al. (2007) observed the field around the high-z radio galaxies at z = 2–3 with MOIRCS. They reported that there is an excess of galaxies with >1011M on the bright end of the NIR color–magnitude sequence in the fields of MRC 1138−262 at z = 2.2 and USS 1558−003 at z = 2.5 while there are few massive galaxies on the red sequence in the protoclusters at z = 2.9 and 3.1. For the MRC 1138−262 field, two of the massive red galaxies are identified as the protocluster members by MOIRCS spectroscopy (Doherty et al. 2010). Zirm et al. (2008) also investigated the HST NICMOS images of the field and found the significant overdensity of the red faint galaxies in the color–magnitude diagram. In addition, Hatch et al. (2009) derived the stellar mass of 19 galaxies in the Lyα halo of the radio galaxy MRC 1138−262, which is called as the Spiderweb galaxy (Miley et al. 2006), and found that there are no galaxies with >1011M in the 0.3 arcmin2 field except for the radio galaxy itself, which has the stellar mass of 1012M. Compared to these previous studies, thanks to our wide field coverage, our results clearly identified the overdensity of massive (>1011M) red galaxies in a protocluster at z = 3.1. Since this SSA22 protocluster is found as the largest high-density region of star-forming galaxies known so far, the stellar mass assembly is likely to be more progressed.

Figure 13 shows the histogram of the stellar mass distribution for the photo-z selected galaxies. The number density in the SSA22 peak as well as that in GOODS-N is shown with the solid and dotted lines, respectively. Both the samples are selected with the same selection criterion with zphot = 2.6–3.6 and K  <  24.0. The turnoff of the distribution at the less mass end (log M*/M ≲ 10.5) is due to the magnitude cutoff. The stellar mass distribution in GOODS-N without the cutoff is also indicated with the dotted thin line. It is found that the stellar mass distributions in both fields are not much different, while the number density in SSA22 is larger than that in GOODS-N. The median values of the stellar mass with K  <  24.0 in SSA22 and GOODS-N are 2.7 × 1010M and 2.2 × 1010M, respectively.

Figure 13.

Figure 13. Top: histogram of stellar mass of photo-z selected objects (zphot = 2.6–3.6) with K < 24.0 in SSA22-M6 (the solid line, red). The vertical line is the nominal limit of the stellar mass at K = 24.0. The dotted line (green) is the mass distribution in GOODS-N, and the thin line is that without the magnitude limit. Bottom: the surface density difference between SSA22 and GOODS-N (the solid line, red). The stellar mass distribution in the Coma cluster is also indicated with the dotted blue line (see the text). The same but divided by a factor of three is indicated with the cyan dot-dashed line.

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The excess in the surface number density of SSA22 to that of GOODS-N, which is regarded as the cluster component, is shown in the bottom panel of Figure 13. It might be interesting to compare this with the stellar mass distributions in nearby typical rich clusters. As an example, the stellar mass distribution for the Coma cluster is also shown in the figure. We focus on the massive end (log M*/M ≳ 10.5) of the mass function because of the magnitude cutoff mentioned above. The stellar mass function of the Coma cluster galaxies is derived from the H-band luminosity function (LF) obtained by de Propris et al. (1998; corresponds to M*K = −24.0, α = −0.78 for the bright end) and the typical mass-to-light ratio of local elliptical galaxies (M*/LK ≃ 0.6). The number density is averaged in the observed area of 29farcm2 × 22farcm5 (0.8 × 0.6 Mpc) in de Propris et al. (1998) and converted to the physical density at z = 3.1. It should be noted that the weight for the brightest galaxy in the Coma cluster in fitting LF seems low (Figure 2 in de Propris et al. 1998) and its contribution is not well reproduced by the obtained Schechter parameters. Therefore, we added it to the brightest bin manually. As shown in the figure, it is suggested that the equivalent of ≈10%–15% of the galaxies with >1010.5M in the Coma cluster is already seen in the SSA22 field. In practice, however, the central region of the Coma cluster is supposed to be extended several times larger at z  ∼  3. For example, Suwa et al. (2006) showed that a present-day cluster of galaxies with several Mpc can be extended to 20–40 Mpc in the comoving scale at z = 4–5 in their simulation. By assuming the spherical model for the nonlinear collapse of the overdense region, the surface number density at the epoch of turnaround is four times lower than that of the collapsed object. If the protocluster does not reach the maximum expansion, it may be slightly larger. As for crude estimation, the stellar mass distribution in the Coma cluster divided by three is shown in the bottom panel of Figure 13. The figure suggests that the number of the >1010.5M galaxies in SSA22 is equivalent to ∼ 30%–40% of that in the Coma cluster.

5.2. Stellar Mass Assembly in LABs

As shown in Section 4.2, most of the LABs are associated with the K-selected objects. The significant number excess around LAB that these galaxies are formed in LABs. It is also interesting to see a notable fraction of them consists of multiple K-selected components. The formation of early-type galaxies was generally understood by either "Monolithic collapse" (Eggen et al. 1962) or "(Major) Merger" (Searle & Zinn 1978) scenario. In the realistic cosmological scenario, however, early-type galaxies may have experienced hierarchical gaseous multiple merging in their early evolutionary phase, which may be observed as the combination of the extended gaseous halo and the multiple stellar components.

Indeed, such phenomena is discussed using the cosmological numerical simulations for the formation of early-type galaxies (Meza et al. 2003; Naab et al. 2007). The scenario can be called as "on-going assembly" or "hierarchical multiple merging." The most outstanding examples observed in our observational data are the two giant objects, LAB1 and LAB2, which have six and five K-selected objects, respectively, some of which are DRGs, within their Lyα halos. As shown in the model simulations, these multiple components will finally merge into a single galaxy, which may evolve into a massive elliptical in the local universe.

It is interesting to note that the SSA22-M1 field where the LABs are the most populate is a few Mpc (in physical scale) separated from the center of the clustering of the K-selected galaxies or LAEs. The many (5/8) of the LABs in the SSA22-M1 field, LAB1, LAB2, LAB7, LAB16, and LAB30, in fact have multiple K-band components. While the galaxy formation in the central region of the cluster statistically proceeds earlier, we may see a more dynamically young phase of massive galaxy formation in the region a little separated from the center.

We investigate the stellar mass of the photo-z selected objects associated with the LABs in order to investigate how much stellar mass in the LABs has already been formed. The method is the same as that in the previous section, while the redshift is fixed to be z = 3.1. The result is listed in Table 4. We here assume that all the broadband emission is due to the stellar light and ignored the contribution of the nebula emission lines, which will be constrained by the future spectroscopic observations.

Table 4. The Results of the SED Fitting of Photo-z Selected Objects in LABs

LAB ID M* χ2 Mv
    (1010M)    
LAB1 1 14.49 +4.96− 7.69 0.70 −23.01
  2 9.15 +5.02− 5.83 0.39 −22.52
  3 0.80 +2.39− 0.71 0.28 −21.95
  4 2.41 +3.41− 2.15 0.07 −21.67
  5 0.38 +5.66− 0.24 0.10 −21.68
  6 1.14 +1.69− 1.12 0.12 −21.40
LAB2 1 6.81 +55.73− 3.73 0.03 −22.91
  2 10.92 +10.25− 10.05 0.20 −22.64
  3 4.64 +5.43− 4.44 0.05 −21.80
  4 1.44 +1.52− 1.33 0.14 −21.65
  5 3.72 +9.84− 3.67 0.01 −21.31
LAB3 1 9.26 +7.30− 4.28 0.18 −22.93
LAB5 1 7.19 +2.50− 2.55 0.99 −23.27
LAB7 1 0.82 +2.26− 0.74 0.12 −21.72
  2 0.75 +2.47− 0.68 0.18 −21.73
  3 0.60 +1.62− 0.58 0.06 −21.31
LAB8 1 0.42 +2.32− 0.41 0.01 −20.98
LAB11 1 0.42 +1.35− 0.39 0.05 −21.47
  2 0.57 +3.29− 0.55 0.07 −21.30
  3 0.58 +1.65− 0.52 0.08 −21.84
LAB12 1 17.44 +50.20− 9.19 1.15 −23.02
  2 2.07 +1.93− 1.86 0.33 −21.94
  3 1.44 +1.88− 1.37 0.31 −21.65
LAB14 1 16.95 +5.19− 9.91 0.10 −22.95
LAB16 1 1.76 +3.82− 1.29 0.55 −22.48
  2 0.95 +1.50− 0.92 0.03 −21.33
LAB20 1 1.56 +1.39− 1.29 0.17 −21.86
LAB24 1 2.85 +2.78− 1.69 0.24 −21.91
LAB27 1 1.77 +1.97− 1.16 0.85 −22.56
  2 3.32 +2.08− 2.85 0.31 −22.20
  3 0.38 +1.44− 0.34 0.25 −21.56
  4 1.77 +3.01− 1.70 0.14 −21.63
LAB30 1 1.72 +2.14− 1.02 0.10 −22.56
  2 1.34 +2.99− 1.25 0.19 −21.80
LAB31 1 2.56 +1.97− 1.59 0.24 −22.17
(LAB35) A 26.52 +38.37− 11.69 0.12 −23.74

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The stellar mass of the individual components of the LAB counterparts ranges from 3.8 × 109M to 1.7 × 1011M. Figure 14 also shows the distributions of the stellar mass of individual components and the integrated stellar mass associated with the LABs. Figure 15 shows the color and the stellar mass of each individual component. LBGs are shown with the blue dots. As seen in the figure, low-mass components in the LABs are dominated by LBGs. LAB7 and LAB11 have multiple LBGs with <1010M, which are close to each other.

Figure 14.

Figure 14. Histogram of stellar mass of photo-z selected objects in LABs. The stellar mass of each individual galaxy and the integrated stellar mass associated with the LABs are indicated with filled and open histograms, respectively. The hatched histogram indicates the number of LABs which are not associated with photo-z selected objects.

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Figure 15.

Figure 15. J − K vs. stellar mass of each photo-z selected object in the Lyα halo. The red symbols indicate that the LAB is associated with multiple K-band counterparts. The cyan symbols indicate that the LAB has a single K-band counterpart. The blue dots show that the objects are LBGs.

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With respect to the integrated total stellar mass in each LAB, 70% of the LABs (14/20) have >1010M, and the median value is 3.1 × 1010M. Twenty percent of the LABs have the stellar mass M*  >  1011M. Typical LBGs in the general field have M* ≃ 2 × 1010M (Shapley et al. 2001), which is comparable or slightly smaller than the median stellar mass of the LABs of the current sample.

The total stellar mass in each LAB versus the properties of the Lyα emission are plotted in Figure 16. The horizontal axes show the integrated stellar mass of photo-z selected objects associated with each LAB, i.e., the objects in Table 4. The vertical axes in Figures 16(a), (b), and (c) show the luminosity, size, and velocity width of the LABs, respectively. Note that there is a correlation between the luminosity and the isophotal area of the Lyα emission of the LABs (Matsuda et al. 2004) and these are not totally independent. In Figure 16(a), or Figure 16(b), we see that some massive galaxies with M*  ∼  1011M are associated with the brighter and larger LABs (LAB1, LAB2, LAB3). As also suggested in Uchimoto et al. (2008), this implies that the origin of the Lyα emission in these LABs is related to the previous (or recent) star formation activity represented by the accumulated stellar mass. On the other hand, LAB12 and 14 have large stellar mass of M*  ∼  1011M in spite of their low luminosity in Lyα. Both LABs are associated with X-ray sources, and they are detected in 8 μm and 24 μm (Geach et al. 2009), suggesting that they suffer from dust obscuration. LAB14 is also detected as a submillimeter-bright galaxy (SMG; Geach et al. 2005). In these cases, Lyα emission is supposed to be suppressed by the dust.

Figure 16.

Figure 16. Relationship between the integrated stellar mass and the Lyα properties of LABs. (a) Stellar mass vs. Lyα luminosity. (b) Stellar mass vs. Isophotal area. (c) Stellar mass vs. FWHM of Lyα emission. The symbols are the same as those in Figure 15. The multiple counterparts in each LAB are summed up in a symbol. The vertical line is the nominal limit of the stellar mass at K = 24.0.

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In Figure 16(c), we can see that the total stellar mass and the velocity width of Lyα emission for nine LABs obtained by Matsuda et al. (2006; Y. Matsuda 2011, private communication) have notable correlation. Here we should note that the velocity widths are estimated by assuming a single Gaussian profile, and the stellar mass estimation includes the uncertainty of photo-z. Despite such uncertainty, the correlation suggests not only that the photo-z selected objects are indeed associated with the LABs but also that the estimated velocity width represents their physical quantities.

Although the correlation can be explained by some different scenarios (Matsuda et al. 2006), we first discuss the case in which we assume that the Lyα gas clouds are gravitationally bounded. With this assumption, their dynamical mass can be evaluated from the velocity width and the radius which is represented by the extent of the Lyα emission. Then, our result suggests that the dynamical mass of LABs is correlated with their stellar mass. It is known that the dynamical mass of local spheroidal galaxies at z < 1 correlates with the stellar mass by a factor of ∼5–10 (Drory et al. 2004; Bundy et al. 2007). On the other hand, the stellar masses of most of our sample are in the range of 1010.3–1011.5M, and dynamical mass of LABs estimated by Matsuda et al. (2006) ranges over 1011.7–1013.3M. They are different by a factor of ∼50–80. As the ratio seems significantly larger than the local value, the stellar mass assembly may be still in progress in LABs.

Of course, LABs may not be virialized, and the virial radius may not be equal to the size of the Lyα halo.

As an alternative case, if we assume that the Lyα emission is due to the outflow from galactic superwinds, the characteristic timescales of star formation can be estimated by their spatial extents and typical outflow speeds. Matsuda et al. (2006) evaluated the timescale of ∼107 − 108 yr for the SSA22 LABs. Assuming the star formation rate of 103M yr−1 as inferred from the stacked submillimeter flux, the estimated amount of the formed stellar mass, ∼1010M, is consistent with the timescale. In this case, it is suggested that the observed stellar components is formed from the star formation activities which cause the outflow.

5.3. Dusty Starbursts in the SSA22 Field

K-band selection is also useful to detect the highly dust obscured starbursting galaxies. They are an important population that dominates the stellar mass of the protocluster. Here, we focus on the dusty starbursts in our sample, namely, HEROs which are the objects with extremely red color of JK > 2.1 (see Section 3.3). We also discuss the AzTEC sources detected in Tamura et al. (2009), which are claimed to have the spatial correlation with LAEs.

5.3.1. Overdensity of HEROs in the SSA22 Field

We detected 31 HEROs down to K = 24.0 in our observed field. The left and middle panels of Figure 17 show the sky distribution of the HEROs. The figure also shows the 2σ density contour of LAEs. It is found that the number density of HEROs in SSA22-M6 is the highest (12 HEROs) among the six fields in SSA22. In the right panel of Figure 17, the surface density of HEROs is shown as a function of a radial distance from LABs, LAEs, and AzTEC sources (see the next section). The mean number density of 0.28 arcmin−2 in the SSA22 field is 2.3 times larger than that in GOODS-N (0.12 ± 0.03 arcmin−2) while those in SSA22-M6 is the 3.1 times larger. In addition, the marginal excesses of HEROs are found around LABs/LAEs, while there are no HEROs around LAB1 and LAB2.

Figure 17.

Figure 17. Left: sky distribution of HEROs. HEROs are indicated with filled circles (red). LABs and LAEs are indicated with large open circles (blue) and open squares (cyan), respectively. The contours show the high-density region of the LAEs (Hayashino et al. 2004). The inner contour shows the 2σ level. The cross is the position of the density peak of LAEs. Middle: AzTEC sources are indicated with solid open circles (black). Right: the surface density of HEROs in a circular ring of 0.1 arcmin width as a function of radial distance from LABs, LAEs, and AzTEC sources.

Standard image High-resolution image

Out of the 23 HEROs detected in R band (see Section 3.3), 11 have zphot = 2.6–3.6. The result of the SED fitting for the 11 HEROs shows that the stellar mass range from 2.7 × 1010M to 3.7 × 1011M, and the median is 1.6 × 1011M. The 55% (6/11) of the HEROs are massive galaxies with >1011M. It is likely that HEROs are among the most massive populations in the protocluster.

Of all the 31 HEROs, 2 objects are associated with Lyα emission, which are expected to be indeed located at z = 3.1. They are found in LAB14 and the extended LAE in the vicinity of LAB35 (the object A; see Section 4.2.2). Both of them are located in the 2σ high-density contour of LAEs. The object A in vicinity of LAB35 has JK = 2.45 and zphot = 3.06 (Figure 11). The stellar mass of this HERO is 2.65 × 1011M, which is one of the most massive galaxies in this region.

5.3.2. Correlation between K-selected Objects and AzTEC Sources

The SSA22 protocluster is observed at 1100 μm using AzTEC camera mounted on ASTE (Tamura et al. 2009). They reported the concentration of SMGs in this region. Figure 18 shows the sky distribution of the K-selected objects as well as the AzTEC sources in Tamura et al. (2009). The left panel indicates the distribution of the photo-z selected objects, and the middle one indicates that of DRGs. As shown in the right panel of Figure 18, the association between K-selected objects and the AzTEC sources is notable.

Figure 18.

Figure 18. Left: sky distribution of photo-z selected objects and AzTEC sources. Middle: sky distribution of DRGs and AzTEC sources. Photo-z selected objects and DRGs are indicated with open circles (red) and filled circles (red), respectively. AzTEC sources and LABs are indicated with large open circles (black) and dotted, large open circles (blue), respectively. AzTEC1 and AzTEC20 (numbered in Tamura et al. 2009) are shown with "1" and "20," respectively. Right: the surface density of DRGs (filled circles) and objects with zphot = 2.6–3.6 (open squares) in a circular ring of 0.1 arcmin width as a function of radial distance from the AzTEC sources. The mean densities in GOODS-N are also indicated by the solid lines, and those in SSA22 by the dashed lines.

Standard image High-resolution image

Indeed, Tamura et al. (2010) reported the multi-wavelength identification of the brightest source, SSA22-AzTEC1. The object is identified with the Very Large Array radio source, whose counterpart is detected in K- and H-band images. On the other hand, no counterpart is detected in J band and optical bands. The object is classified as a HERO. Tamura et al. (2010) estimated the redshift as zphot = 3.19 by their radio–submillimeter photo-z.

In the right panel of Figure 17, we show the correlation between HEROs and the AzTEC sources. It is, however, found to be dominated by the contribution of K-selected objects around SSA22-AzTEC20 as shown in Figure 19. They are supposed to be the counterparts of AzTEC20 and also in the "hierarchical multiple merging" phase. It is interesting to note that significant Lyα emission is not detected around the objects.

Figure 19.

Figure 19. K-selected objects around AzTEC20. The circles (black or red) indicate the photo-z selected objects with zphot = 2.6–3.6. DRGs are colored red. The two thick red circles are HEROs with zphot = 2.6–3.6. The red square is a HERO with zphot slightly lower than 2.6. The large circle shows the 2σ error range of the position of AzTEC20. The size of the image is 23farcs4 on a side.

Standard image High-resolution image

Thus, the statistical evidence (clustering) as well as a few notable individual examples implies that at least a fraction of the AzTEC sources are indeed associated with the SSA22 protocluster.

6. CONCLUSION

We present the results of wide-field deep NIR imaging in the z = 3.1 protocluster region. The observed field is 112 arcsec2 in the SSA22-Sb1 field. We extracted the candidates of the protocluster members from the K-selected sample by using the multi-band photo-z selection as well as the color cut for DRGs, and examined their sky distributions.

The surface number density of DRGs in our observed field shows an excess compared with those in the blank fields, which implies that progenitors of massive galaxies are growing in the protocluster at z = 3.1. Interestingly, the densest area corresponds to the density peak of LAEs, and the density is two times higher than that in the GOODS-North field, while most of the DRGs are not directly associated with the LAEs. On the other hand, the overdensity of DRGs in the SSA22-M1 field, where is characterized by the density excess of LABs, is not significant.

We also investigated the near-infrared properties of LABs. K-band counterparts with zphot ≃ 3.1 are detected for 75% (15/20) of the LABs within their Lyα halo, and the 40% (8/20) of LABs have multiple components. The stellar mass of 15 LABs range from 4 × 109M to 2 × 1011M. We also found that the stellar mass of LABs correlates with their luminosity, isophotal area, and the Lyα velocity widths, implying that the physical scale and the dynamical motion of Lyα emission are closely related to their previous star formation activities. The results suggest that the formation of massive galaxies is in progress in a large fraction of the LABs in the field.

Overdensity of dusty starburst galaxies such as HEROs (JKAB  >  2.1) and plausible K-band counterparts of submillimeter sources are also found in this region. Highly dust-obscured galaxies which are expected to be growing up to massive galaxies may also be populated in such high-density region of Lyα galaxies.

These results suggest that we are witnessing a protocluster in which the progenitors of massive galaxies are formed in the high-density region of star-forming galaxies.

We thank Dr. Yoichi Tamura for providing the updated coordinates of the AzTEC sources. We thank the staff of the Subaru Telescope for their assistance with the development and the observation of MOIRCS. This research is supported in part by the Grant-in-Aid 20450224 for the Scientific Research of the Ministry of Education, Science, Culture, and Sports in Japan. The Image Reduction and Analysis Facility (IRAF) used in this paper are distributed by National Optical Astronomy Observatories, USA, operated by the Association of Universities for Research in Astronomy, Inc., under contact to the USA National Science Foundation.

Footnotes

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10.1088/0004-637X/750/2/116