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CONSTRAINTS ON PULSAR EVOLUTION: THE JOINT PERIOD-SPIN-DOWN DISTRIBUTION OF MILLISECOND PULSARS

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Bülent Kiziltan and Stephen E. Thorsett

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We calculate the joint period-spin-down (P-$\dot{P}$) distributions of millisecond radio pulsars (MSRPs) for the standard evolutionary model in order to test whether the observed MSRPs are the unequivocal descendants of millisecond X-ray pulsars (MSXPs). The P-$\dot{P}$ densities implied by the standard evolutionary model compared with observations suggest that there is a statistically significant overabundance of young/high magnetic field MSRPs. Taking biases due to observational selection effects into account, it is unlikely that MSRPs have evolved from a single coherent progenitor population that loses energy via magnetic dipole radiation after the onset of radio emission. By producing the P-$\dot{P}$ probability map, we show with more than 95% confidence that the fastest spinning millisecond pulsars with high magnetic fields, e.g., PSR B1937+21, cannot be produced by the observed MSXPs within the framework of the standard model.


Keywords

pulsars: general; pulsars: individual (B1937+21); stars: neutron; stars: statistics; X-rays: binaries


PACS

97.60.Gb Pulsars

97.10.Cv Stellar structure, interiors, evolution, nucleosynthesis, ages

97.10.Ld Magnetic and electric fields; polarization of starlight

97.80.Jp X-ray binaries

95.85.Bh Radio, microwave (>1 mm)

Subjects

Astrophysics and astroparticles

Dates

Issue 2 (2009 March 10)

Received 2008 November 10, accepted for publication 2009 January 27

Published 2009 February 19



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