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MINUTE-TIMESCALE >100 MeV γ-RAY VARIABILITY DURING THE GIANT OUTBURST OF QUASAR 3C 279 OBSERVED BY FERMI-LAT IN 2015 JUNE

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Published 2016 June 15 © 2016. The American Astronomical Society. All rights reserved.
, , Citation M. Ackermann et al 2016 ApJL 824 L20 DOI 10.3847/2041-8205/824/2/L20

2041-8205/824/2/L20

ABSTRACT

On 2015 June 16, Fermi-LAT observed a giant outburst from the flat spectrum radio quasar 3C 279 with a peak >100 MeV flux of ∼3.6 × 10−5 photons cm−2 s−1, averaged over orbital period intervals. It is historically the highest γ-ray flux observed from the source, including past EGRET observations, with the γ-ray isotropic luminosity reaching ∼1049 erg s−1. During the outburst, the Fermi spacecraft, which has an orbital period of 95.4 minutes, was operated in a special pointing mode to optimize the exposure for 3C 279. For the first time, significant flux variability at sub-orbital timescales was found in blazar observations by Fermi-LAT. The source flux variability was resolved down to 2-minute binned timescales, with flux doubling times of less than 5 minutes. The observed minute-scale variability suggests a very compact emission region at hundreds of Schwarzschild radii from the central engine in conical jet models. A minimum bulk jet Lorentz factor (Γ) of 35 is necessary to avoid both internal γ-ray absorption and super-Eddington jet power. In the standard external radiation Comptonization scenario, Γ should be at least 50 to avoid overproducing the synchrotron self-Compton component. However, this predicts extremely low magnetization (∼5 × 10−4). Equipartition requires Γ as high as 120, unless the emitting region is a small fraction of the dissipation region. Alternatively, we consider γ rays originating as synchrotron radiation of γe ∼ 1.6 × 106 electrons, in a magnetic field B ∼ 1.3 kG, accelerated by strong electric fields EB in the process of magnetoluminescence. At such short distance scales, one cannot immediately exclude the production of γ-rays in hadronic processes.

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1. INTRODUCTION

Among all high-luminosity blazars—which are active galaxies dominated by Doppler-boosted emission from relativistic jets pointing toward our line of sight—3C 279 is one of the most extensively studied objects. This flat spectrum radio quasar (FSRQ: z = 0.536) has been detected in essentially all accessible spectral bands; in particular, strong and variable γ-ray emission was detected by Compton/EGRET (Hartman et al. 1992; Kniffen et al. 1993), and it was the first FSRQ detected above 100 GeV (Albert et al. 2008). The γ-ray emission dominates the apparent luminosity of the source, and the nature of γ-ray variability and its relationship to that measured in other bands provide the strongest constraints on the total energetics, as well as the emission processes operating in the jets of luminous blazars (e.g., Maraschi et al. 1992; Sikora et al. 1994).

Due to the all-sky monitoring capability of the Fermi Large Area Telescope (LAT: Atwood et al. 2009), we have a continuous γ-ray flux history of 3C 279 for more than 7 years. 3C 279 underwent several outbursts in the past, having flared with a peak γ-ray flux (E > 100 MeV) ∼10−5 photons cm−2 s−1, in 2013 December and 2014 April, with fluxes about three times greater than the peak during the first 2 years of Fermi-LAT observations (Hayashida et al. 2012, 2015). During the flaring epoch in 2013 December, the γ-ray spectrum hardened (Γγ ≃ 1.7 in dN/dE${E}^{-{{\rm{\Gamma }}}_{\gamma }}$) and rapid hour-scale flux variability was observed. The γ-ray flux strongly dominated the flux in any other band, indicating a very high "Compton dominance" (the ratio of the total inverse-Compton luminosity over the total synchrotron luminosity) of a factor of 100. This in turn suggests extremely low jet magnetization, with a level of 10−4. Those results motivated, e.g., the stochastic acceleration model, which could reproduce the hour-scale variability and the hard spectrum of the flare event (Asano & Hayashida 2015).

In 2015 June, 3C 279 became very active again, with fluxes exceeding the 2013/2014 level (Cutini 2015; Paliya 2015), and prompting a target of opportunity (ToO) repointing of Fermi, resulting in a ∼2.5 times greater exposure. The measured γ-ray flux in daily bins reached ∼2.4 × 10−5 photons cm−2 s−1 on 2015 June 16, allowing an unprecedented investigation of variability on timescales even shorter than one Fermi orbit. In this Letter, we report and offer an interpretation of the minute-scale variability observed by Fermi-LAT for the first time in any blazar.

2. FERMI-LAT GAMMA-RAY OBSERVATIONS

We analyzed the LAT data following the standard procedure53 , using the LAT analysis software ScienceTools v10r01p01 with the P8R2_SOURCE_V6 instrument response functions. Events with energies of 0.1–300 GeV were extracted within a 15° acceptance cone region of interest (ROI) centered at 3C 279 (R.A. = 195fdg047, decl. = −5fdg789, J2000). Gamma-ray spectra were derived by an unbinned maximum likelihood fit with gtlike. The background model included sources from the third LAT catalog (3FGL: Acero et al. 2015) inside the ROI and which showed TS54 > 25 based on an analysis of 1 month of LAT data, for 2015 June. Their spectral parameters were fixed by the fitting results from the 1-month data analysis. Additionally, the model included the isotropic and Galactic diffuse emission components55 (Acero et al. 2016), with fixed normalizations during the fitting. Note that the contribution of background components to the 3C 279 flux determinations in short-term binned light curves during the outburst is negligible.

2.1. Light Curve

Figure 1 shows light curves of 3C 279 measured by Fermi-LAT between 2015 June 14 12:00:00 and June 18 00:00:00 UTC, including the most intense outburst observed on June 16. ToO observations were conducted from 2015 June 15 17:31:00 through 2015 June 23 16:19:00, during which LAT switched from its normal survey mode to a pointing mode targeting 3C 279. For data taken during the normal observing mode, the data were binned at twice the orbital period so that individual bins could have more uniform exposure times. Beginning with the ToO observation, the data were binned orbit by orbit. The γ-ray fluxes and photon indices were derived using a simple power-law model. The hardness ratio in the 5th panel of Figure 1 was defined as the ratio between the hard-band (>1 GeV) and the soft-band (0.1–1 GeV) fluxes; F>1 GeV/F0.1–1 GeV. Here we define the outburst phase to be between 2015 June 15 22:17:12 and June 16 15:46:36 (MJD 57188.92861 and 57189.65736), as indicated in Figure 1: it comprises 11 one-orbit bins designated Orbit "A" through "K," respectively.

Figure 1.

Figure 1. Light curves of 3C 279 in the γ-ray band as observed by Fermi-LAT. The vertical dashed line indicates when the Fermi-LAT observation mode was switched from the normal survey mode to the pointing mode of the ToO observations. The data were binned on a two-orbit timescale (190.8 minutes) during the normal survey mode and on a one-orbit timescale (95.4 minutes) during the ToO observations. The panels from the top to the bottom show: (1) integrated flux above 100 MeV, (2) photon index above 100 MeV, (3) integrated flux between 0.1 and 1 GeV (${F}_{0.1-1{\rm{GeV}}}$), (4) integrated flux above 1 GeV (${F}_{\gt 1{\rm{GeV}}}$), (5) hardness ratio (${F}_{\gt 1{\rm{GeV}}}/{F}_{0.1-1{\rm{GeV}}}$), (6) arrival time distribution of photons with reconstructed energies above 10 GeV. For bins with TS < 6, 95% confidence level upper limits are plotted.

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The greatest flux above 100 MeV was recorded during Orbit C, centered at 2015 June 16 02:15:42 (MJD 57189.09424), reaching $(3.6\pm 0.2)\times {10}^{-5}\;$ photons cm−2 s−1. It exceeds the largest 3C 279 flares previously detected by Fermi-LAT on 2013 December 20, 2014 April 4 (Hayashida et al. 2015; Paliya et al. 2015), and those detected by EGRET in 1996 (Wehrle et al. 1998) (∼1.2 × 10−5 photons cm−2 s−1), making it historically the largest γ-ray (>100 MeV) flare of 3C 279. It is the second-greatest flux among blazars observed by Fermi-LAT after the 3C 454.3 outburst in 2010 November (Abdo et al. 2011a). During Orbit C we found Γγ = 2.01 ± 0.05, which was not as hard as the Γγ ∼ 1.7 that was observed on 2013 December 20. The hardest spectrum during this outburst was Γγ = 1.91 ± 0.07 in Orbit B.

The highest-energy photon, 56 GeV, was detected56 at 2015 June 16 14:58:12 UTC, almost at the end of the outburst phase (Figure 1, bottom), corresponding to ∼15.1 hr since the outburst began, and ∼12.7 hr later than the center of the highest-flux time bin. Interestingly, in the 2010 November flare of 3C 454.3, the highest-energy photon (31 GeV) also arrived during the decay part of the main flare (Abdo et al. 2011a).

2.2. Sub-orbital Scale Variability

The very high γ-ray flux state and the ToO observations provided a sufficiently large number of photons in each bin to resolve light curves with shorter timescales than the Fermi orbital period. Figure 2(a) shows light curves above 100 MeV for integration times of 5 minutes (red) and 3 minutes (green) for Orbits B–J, where the orbit-averaged flux exceeded 2 × 10−5 photons cm−2 s−1. The spacecraft location and attitude data with 1 s resolution were used for analysis of those short-timescale light curves. To investigate flux variability at sub-orbital periods, we fitted a constant value to each orbit for both time bins, and calculated a probability (p-value) from χ2 in each orbit. While many orbits resulted in p-values consistent with constant fluxes, we found significant indications of variability on a sub-orbital timescale for Orbit C: (p, χ2/dof) = (0.0015, 19.62/5) and (0.00047, 29.8/9) for 5-minute and 3-minute bins respectively, and Orbit D: (p, χ2/dof) = (0.067, 11.79/6) and (0.068, 18.65/11) for 5-minute and 3-minute bins, respectively (see details in Table 1).

Figure 2.

Figure 2. Light curves of 3C 279 above 100 MeV, with minute-timescale intervals. (a): intervals of 5 minutes (red) and 3 minutes (green) during the outburst phase from Orbits B–J. (b): enlarged view during Orbits C and D. Each range is indicated with dotted vertical lines in (a). The points denote the fluxes (left axis), and the gray shaded histograms represent the numbers of events (right axis) detected within an 8° radius centered at 3C 279 for each bin. Contamination from both diffuse components were estimated as ∼1 photon for each 3-minute bin.

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Table 1.  Flux and Spectral Fitting Results of 3C 279 above 100 MeV for Each Orbit (A−K) during the Outburst Phase

Orbit Fluxa Γγ α β Epeak TS $-2{\rm{\Delta }}L$ c p-valued p-valued Emax
Number (10−7) (PLb) (LPb) (LPb) (GeV)     (5-minute bin) (3-minute bin) (GeV)
A 121 ± 17 1.96 ± 0.11 1.84 ± 0.19 0.06 ± 0.08 1.1 ± 0.9 502 0.7 ... ... 8.8
B 218 ± 19 1.91 ± 0.07 1.75 ± 0.12 0.08 ± 0.05 1.40 ± 0.66 1346 3.2 0.434 0.453 16.9
C 350 ± 21 2.01 ± 0.05 1.71 ± 0.09 0.20 ± 0.05 0.61 ± 0.10 3037 21.9 0.00148 0.000474 9.3
D 294 ± 18 2.06 ± 0.05 1.85 ± 0.09 0.15 ± 0.05 0.50 ± 0.11 2661 11.8 0.0668 0.0677 6.7
E 316 ± 17 2.11 ± 0.05 1.99 ± 0.08 0.08 ± 0.04 0.32 ± 0.14 3400 5.0 0.504 0.429 15.2
F 259 ± 14 2.11 ± 0.05 1.88 ± 0.08 0.17 ± 0.06 0.42 ± 0.08 3036 15.6 0.902 0.419 9.2
G 235 ± 14 2.08 ± 0.05 1.94 ± 0.08 0.09 ± 0.04 0.41 ± 0.16 2720 5.6 0.166 0.308 10.9
H 258 ± 14 2.01 ± 0.05 1.79 ± 0.08 0.13 ± 0.04 0.67 ± 0.15 3309 13.4 0.228 0.140 10.9
I 277 ± 15 2.00 ± 0.04 1.67 ± 0.08 0.22 ± 0.05 0.63 ± 0.08 3699 32.8 0.708 0.435 7.7
J 233 ± 14 2.12 ± 0.05 1.92 ± 0.08 0.14 ± 0.05 0.39 ± 0.10 2630 10.3 0.404 0.177 13.1
K 137 ± 11 1.97 ± 0.06 1.81 ± 0.11 0.08 ± 0.05 0.91 ± 0.44 1540 3.8 ... ... 56.0

Notes.

aOrbit-averaged flux above 100 MeV in photons cm−2 s−1. bPL: power-law model, LP: log-parabola model. cΔL represents the difference of the logarithm of the total likelihood of the fits between PL and LP models. dp-value based on χ2 fits with a constant flux to each orbit for 5-minute and 3-minute binned light curves.

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Enlarged views of light curves above 100 MeV for Orbits C and D are in Figure 2(b); those figures show integration times of 3 and 2 minutes. In those time bins, the flux reached ∼5 × 10−5 photons cm−2 s−1 at the highest, and showed the most rapid variations. In the 3-minute binned light curve, the flux doubled even from the third to the fourth bins, and decreased by almost a half from the sixth to the seventh bins. Although defining the characteristic timescale of the variability is difficult, the flux doubling time is conservatively less than 10 minutes, and plausibly ∼5 minutes or shorter.

2.3. Power Density Spectrum

The available LAT data allow us to study the power density spectrum (PDS) on different timescales. Results for three different frequency ranges are shown in Figure 3. Two lower-frequency (<0.1 day−1) PDSs were calculated, each from a 3-day binned light curve covering one half of the 7 year LAT data (MJD 54683–55950 and 55950–57254, respectively). The PDS for intermediate frequencies is based on a light curve for the active period in 2015 June (MJD 57181–57197), binned on the orbital period of Fermi. White noise subtraction was based on the estimated measurement errors in the light curves and these were also logarithmically binned before plotting in Figure 3. The PDSs for high frequencies were derived from the 3-minute binned sub-orbital light curves of Orbits B–J. One PDS was calculated for each orbit, and then these were averaged. White noise defined from the flat PDS level above 110 days−1 has been subtracted. The normalization of the PDS means that if the rms/flux is constant during variations in source flux, the PDS level will not change. The intermediate frequency PDS connects well with the low-frequency PDS for the second 3.5 years, which includes the active period in 2015 June. The PDS for the second 3.5 year interval shows a higher relative variability and a flatter spectrum (slope: −0.61 ± 0.06) compared to the first interval (slope: −1.24 ± 0.15), as well as a break around 0.1 day−1.

Figure 3.

Figure 3. Power density spectrum (PDS) of the γ-ray flux of 3C 279. (left) PDS derived from three different time-binned light curves: 3 days (red and magenta), orbital period (blue), and 3 minutes (green). The PDSs marked in red and magenta were derived using the first and second halves of the first 7 year Fermi-LAT observation, respectively. The second half of the interval contains the giant outburst phase in 2015 June. (right) Enlarged view of the high-frequency part of the PDS, based on 3-minute binned light curves, plotted using a linear scale and also including the highest frequencies. The white noise level has been subtracted.

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2.4. Gamma-Ray Spectra

Gamma-ray spectra measured by Fermi-LAT, extracted for each orbit during the outburst, were fitted to simple power-law (PL) and log-parabola (LP: ${dN}/{dE}\propto {(E/{E}_{0})}^{-\alpha -\beta \mathrm{log}(E/{E}_{0})}$ with E0 = 300 MeV) models (see Table 1). The peak energy (Epeak) of the spectral energy distribution (SED) was derived from a fit with the LP model. Generally, the LP model is more favored than the PL model to describe the spectral shape. The fitting results suggest that Epeak ranges between ∼300 MeV and ∼1 GeV during the outburst. At the beginning and end of the outburst, the spectra appear relatively hard, with SED peaks at ∼1 GeV. The SED peaks were located at significantly higher energies than for the usual states of 3C 279, when the peak is located below the Fermi-LAT band (<100 MeV), but lower than Epeak observed in the 2013 December 20 flare (≳3 GeV).

Figure 4 shows the γ-ray SED as measured by Fermi-LAT for each orbit. In these plots, Orbits F and G and Orbits H and I were combined because they showed similar spectral fitting results and fluxes. The spectra in the "pre-outburst" and "post-flare" periods as defined in Figure 1 were also extracted for comparison. The spectral peaks are apparently located within the LAT energy band during the outburst. The peak SED flux reaches nearly ∼10−8 erg cm−2 s−1, corresponding to an apparent luminosity of 1049 erg s−1.

Figure 4.

Figure 4. (a), (b): Gamma-ray SEDs of 3C 279 for each orbit during the outburst phase, as well as "pre-outburst" and "post-flare" as indicated in Figure 1. The downward arrows represent 95% confidence level upper limits. (c): Best-fit parameters of the spectra based on the log-parabola model for each orbit (see Table 1 for numbers). (d) Broadband SED of Orbits C and D, and some historical multi-band observations with EGRET, MAGIC, and Fermi-LAT.

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3. DISCUSSION

For the first time, Fermi-LAT detected variability of >100 MeV γ-ray flux from a blazar on timescales of ${t}_{{\rm{var,obs}}}\sim 5\;\text{minutes}$ or shorter. These timescales are comparable to the shortest variability timescales detected above 100 GeV in a handful of blazars and a radio galaxy by ground-based Cherenkov telescopes (PKS 2155–304, Aharonian et al. 2007; Mrk 501, Albert et al. 2007; IC 310, Aleksić et al. 2014). Moreover, this is only the second case when such timescales have been reported for an FSRQ blazar, after PKS 1222+216 (Aleksić et al. 2011), while Fermi-LAT had only ever detected variability as short as hour timescales in some FSRQs (e.g., Abdo et al. 2011a; Saito et al. 2013; Hayashida et al. 2015). This observational result imposes very stringent constraints on the parameters of the γ-ray emitting region.

Emitting region size: the observed variability timescale constrains the characteristic size of the emitting region radius ${R}_{\gamma }\lt { \mathcal D }{{ct}}_{{\rm{var,obs}}}/(1+z)\simeq {10}^{-4}({ \mathcal D }/50){\rm{pc}}$, where ${ \mathcal D }$ is the Doppler factor. With such an extremely short variability timescale, we may consider a significantly larger dissipation region (a region from which energy is transferred/supplied to the emitting regions) of Rdiss = Rγ/fγ, where fγ is a scale factor. Normally, fγ = 1; however, values of the order of fγ ∼ 0.01–0.1 are motivated, e.g., by studies of relativistic magnetic reconnection (Cerutti et al. 2012; Nalewajko et al. 2012). The corresponding characteristic distance scale along the jet for a conical geometry is ${r}_{{\rm{diss}}}\simeq {R}_{{\rm{diss}}}/\theta \simeq 0.005{({\rm{\Gamma }}/50)}^{2}({ \mathcal D }/{\rm{\Gamma }})$ ${({\rm{\Gamma }}\theta )}^{-1}{f}_{\gamma }^{-1}\;{\rm{pc}}$, where Γ is the Lorentz factor, and θ is the opening angle. This corresponds to ∼100 Schwarzschild radii (RS) for a black hole mass of MBH ∼ 5 × 108 M (as adopted in Hayashida et al. 2015), and is generally well within the broad-line region (BLR), with rBLR ∼ 0.1 pc (Tavecchio et al. 2010). While it is typical to assume that ${ \mathcal D }\simeq {\rm{\Gamma }}$ and Γθ ≃ 1, larger distance scales can be obtained for Γθ < 1 (see also Saito et al. 2015).

Jet energetics: the total jet power required to produce the γ-ray emission of apparent luminosity Lγ ∼ 1049 erg s−1 is LjLγ/(ηjΓ2) ∼ 4 × 1046(Γ/50)−2(ηj/0.1)−1 erg s−1, where ηj is the radiative jet efficiency, typically ∼0.1 (Nemmen et al. 2012). The jet power will exceed the Eddington luminosity of LEdd ∼ 8 × 1046 erg s−1 for Γ < 35(ηj/0.1)−1/2.

Internal absorption: the optical depth for internal γ-ray absorption is given by ${\tau }_{\gamma \gamma ,{int}}\simeq {(1+z)}^{2}{\sigma }_{{\rm{T}}}{L}_{{\rm{soft}}}{E}_{{\rm{max,obs}}}$/$(72\pi {m}_{{\rm{e}}}^{2}{c}^{6}{{ \mathcal D }}^{6}{t}_{{\rm{var}}})$ (Dondi & Ghisellini 1995; Begelman et al. 2008). Excluding a single ≃56 GeV photon, several photons were detected during the outburst with energies in the range 10–15 GeV, and hence we adopt a maximum photon energy of ${E}_{{\rm{max,obs}}}=15\;{\rm{GeV}}$. Based on the Swift-XRT observation performed during Orbit D (obsID 35019180), which resulted in a high source flux of (5.5 ± 0.2) × 10−11 erg cm−2 s−1 with a hard photon index of ΓX = 1.17 ± 0.06 (for the 0.5–5 keV band) and LX ∼ 1047 erg s−1, a soft radiation (∼17 keV) luminosity of Lsoft ∼ 3 × 1047 erg s−1 has been adopted. The minimum Doppler factor corresponding to ${\tau }_{\gamma \gamma ,{int}}=1$ is ${{ \mathcal D }}_{{\rm{min,int}}}\simeq 25$.

External absorption: external radiation fields can absorb the γ-ray photons observed at ${E}_{{\rm{max,obs}}}$ when ${E}_{{\rm{ext}}}\;\gt 2{({m}_{{\rm{e}}}{c}^{2})}^{2}/[(1-\mu )(1+z){E}_{{\rm{max,obs}}}]$$23/(1-\mu ){\rm{eV}}$ in the source frame ($\mu =\mathrm{cos}{\theta }_{{\rm{scat}}},\;{\theta }_{{\rm{scat}}}$:scattering angle). At short distance scales ${R}_{{\rm{diss}}}\ll {r}_{{\rm{BLR}}}$, additional absorption may arise from the UV or soft X-ray radiation produced by the accretion disk or its corona (Dermer et al. 1992), radiation reprocessed by the surrounding medium (Blandford & Levinson 1995), or from high-ionization He ii lines (Poutanen & Stern 2010). However, the observed photon statistics are insufficient for deriving quantitative results for the absorption.

ERC scenario: in the standard leptonic model of FSRQs, γ rays are produced by the external radiation comptonization (ERC) mechanism (e.g., Sikora et al. 2009). This requires that leptons are accelerated to Lorentz factors of ${\gamma }_{{\rm{e}}}\simeq {[(1+z){E}_{{\rm{obs}}}/({ \mathcal D }{\rm{\Gamma }}{E}_{{\rm{ext}}})]}^{1/2}$$250{({\rm{\Gamma }}/50)}^{-1}{({E}_{{\rm{ext}}}/10{\rm{eV}})}^{-1/2}$. The radiative cooling timescale satisfies ${t}_{{\rm{cool}}}^{\prime }({\gamma }_{{\rm{e}}})$$3{m}_{{\rm{e}}}c/(4{\sigma }_{{\rm{T}}}{\gamma }_{{\rm{e}}}{u}_{{\rm{ext}}}^{\prime })\lesssim {t}_{{\rm{var}}}^{\prime }$ for the minimum energy density of external radiation fields ${u}_{{\rm{ext,min}}}^{\prime }$$3{m}_{{\rm{e}}}c/(4{\sigma }_{{\rm{T}}}{t}_{{\rm{var,obs}}})$ ${[(1+z){E}_{{\rm{ext}}}/{E}_{{\rm{cool,obs}}}]}^{1/2}\sim 40\;\mathrm{erg}\;{\mathrm{cm}}^{-3}$. This minimum energy density can be provided by broad emission lines (${u}_{{\rm{BLR}}}^{\prime }\simeq 0.37{{\rm{\Gamma }}}^{2}{\xi }_{{\rm{BLR}}}\;$erg cm−3; Hayashida et al. 2012) for Γ > 33, assuming a covering factor of ξBLR ∼ 0.1. The same leptons would also produce a synchrotron component peaking in the mid-IR band at luminosity LsynLγ/q, where q ∼ 100 is the Compton dominance, and a synchrotron self-Compton (SSC) component peaking in the hard X-ray band at luminosity ${L}_{{\rm{SSC}}}\sim {L}_{\gamma }^{2}/(4\pi {cq}{{ \mathcal D }}^{4}{R}_{\gamma }^{2}{u}_{{\rm{ext}}}^{\prime })$ (Nalewajko et al. 2014). LSSC would exceed the X-ray luminosity observed by Swift-XRT for jet Lorentz factors Γ < 46. The magnetic jet power can be estimated as ${L}_{{\rm{B}}}=\pi {R}_{{\rm{diss}}}^{2}{{\rm{\Gamma }}}^{2}{u}_{{\rm{BLR}}}^{\prime }c/q$$2\times {10}^{43}{({\rm{\Gamma }}/50)}^{6}{f}_{\gamma }^{-2}$ $\;\mathrm{erg}\;{{\rm{s}}}^{-1}\sim 0.0005$ ${({\rm{\Gamma }}/50)}^{8}{f}_{\gamma }^{-2}({\eta }_{{\rm{j}}}/0.1){L}_{{\rm{j}}}$. Hence, the jet Lorentz factor Γ = 50, while satisfying the Eddington, opacity, cooling, and SSC constraints—and already much higher than the value inferred from radio observations, Γvar ≃ 21 (Hovatta et al. 2009)—corresponds to severe matter domination. However, since LB/Lj ∝ Γ8, equipartition defined as LB = Lj/2 (Dermer et al. 2014) can be obtained for ${{\rm{\Gamma }}}_{{\rm{eqp}}}\simeq 120{f}_{\gamma }^{1/4}$.

Synchrotron scenario: alternatively, we consider a more exotic scenario, in which γ-rays are produced as synchrotron radiation by energetic electrons in a strong magnetic field—in addition to the standard synchrotron component produced under typical conditions—motivated by the γ-ray flares of the Crab Nebula (Abdo et al. 2011b), and also investigated in the context of the 100 GeV emission from FSRQ PKS 1222+216 (Nalewajko et al. 2012). This scenario requires leptons that are accelerated to Lorentz factors ${\gamma }_{{\rm{e}}}\simeq {[(1+z){E}_{{\rm{obs}}}/(20{\rm{neV}}\times { \mathcal D }B^{\prime} )]}^{1/2}$ $\simeq 31.6\quad \times \quad {10}^{6}$ ${({E}_{{\rm{obs}}}/1{\rm{GeV}})}^{1/2}$ $({\rm{\Gamma }}/25){f}_{\gamma }^{-1/2}$, where the magnetic field strength can be estimated from the equipartition magnetic jet power as $B^{\prime} \simeq {(1+z){f}_{\gamma }(8{L}_{{\rm{B}}}/c)}^{1/2}/({{\rm{\Gamma }}}^{2}{{ct}}_{{\rm{var,obs}}})$ $\simeq 1.3\;{\rm{kG}}\times {({\rm{\Gamma }}/25)}^{-3}{f}_{\gamma }$. With such energetic leptons, the inverse-Compton scattering proceeds in the Klein–Nishina regime, and neither SSC or ERC components are important. A high bulk Lorentz factor Γ ≃ 25 is still required for avoiding internal absorption of γ-rays and it is helpful for pushing the observed synchrotron photon energy limit to comfortable values ${E}_{{\rm{syn,max}}}\simeq 4\;{\rm{GeV}}\times ({\rm{\Gamma }}/25)({E}_{\parallel }^{\prime }/{B}_{\perp }^{\prime })$ (e.g., Cerutti et al. 2012). Particle acceleration in magnetic reconnection sites with ${E}_{\parallel }^{\prime }\gt {B}_{\perp }^{\prime }$ (Kirk 2004; Uzdensky et al. 2011) is not necessary. The synchrotron cooling timescale is ∼3 ms in the co-moving frame, placing this scenario in the fast cooling regime. This will result in a low-energy electron tail $N({\gamma }_{{\rm{e}}})\propto {\gamma }_{{\rm{e}}}^{-2}$, and a corresponding spectral tail ${EF}(E)\propto {E}^{0.5}$.

Hadronic scenarios: on very small distance scales, the radiative efficiency of the proton-initiated cascade mechanism (Mannheim & Biermann 1992) is enhanced due to very dense target radiation fields, and that of the proton-synchrotron mechanism (Aharonian 2000) is enhanced due to very strong magnetic fields ($B^{\prime} \gtrsim {\rm{kG}}$). A careful analysis of these mechanisms, including the nonlinear feedback effects (Petropoulou & Mastichiadis 2012), requires a dedicated study.

Dissipation mechanism: the observed variability timescale and luminosity require extremely efficient bulk jet acceleration within $\sim 100\;{R}_{{\rm{S}}}$. In the synchrotron scenario, they also require extremely efficient particle acceleration, going beyond the established picture of the blazar sequence (Ghisellini et al. 1998). Magnetic reconnection was invoked as a dissipation focusing mechanism effectively increasing the scale of the dissipation region by ${f}_{\gamma }^{-1}\sim 10$–100 (Cerutti et al. 2012). Relativistic reconnection can also produce relativistic outflows dubbed "minijets," which can provide additional local Lorentz boosts (Giannios et al. 2009). In general, magnetic dissipation can lead to rapid conversion of magnetic energy to radiation by a process called magnetoluminescence (Blandford et al. 2015).

4. SUMMARY

In this Letter, we reported the first minute-timescale γ-ray flux variability observed by Fermi-LAT in an FSRQ blazar, 3C 279. In the standard ERC scenario with conical jet geometry, the minute-scale variability requires a high Γ (>50) and extremely low magnetization, even at the jet base ($\sim 100\;{R}_{S}$) or Γ ∼ 120 under equipartition. The high Γ and/or low magnetization at the jet base pose challenges to standard models of electromagnetically driven jets. We also discuss an alternative, synchrotron origin for the GeV γ-ray outburst, which would work in a magnetically dominated jet, but requires higher electron energies and still implies Γ ∼ 25 at the jet base.

The Fermi-LAT Collaboration acknowledges support for LAT development, operation, and data analysis from NASA and DOE (United States), CEA/Irfu and IN2P3/CNRS (France), ASI and INFN (Italy), MEXT, KEK, and JAXA (Japan), and the K.A. Wallenberg Foundation, the Swedish Research Council and the National Space Board (Sweden). Science analysis support in the operations phase from INAF (Italy) and CNES (France) is also gratefully acknowledged. M.H. acknowledges support by JSPS KAKENHI grant number JP15K17640.

Footnotes

  • 53 
  • 54 

    "TS" stands for the test statistic from the likelihood ratio test (see Mattox et al. 1996).

  • 55 

    iso_P8R2_SOURCE_V6_v06.txt and gll_iem_v06.fits.

  • 56 

    Probability of association with 3C 279 as estimated by gtsrcprob is >99.99%.

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10.3847/2041-8205/824/2/L20