Constraints on the distribution of neutron star birth velocities from the properties of rotation-powered pulsars

Details Constraints on the distribution of neutron star birth velocities from the properties of rotation-powered pulsars Constraints on the distribution of neutron star birth velocities from the properties of rotation-powered pulsars

Aug 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aipc..384..502m&link_type=abstract

Gamma-ray bursts: 3rd Huntsville symposium. AIP Conference Proceedings, Volume 384, pp. 502-506 (1996).

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Pulsars, Mathematical Procedures And Computer Techniques, Gamma-Ray Sources, Gamma-Ray Bursts

Scientific paper

Knowledge of the distribution of neutron star birth velocities in the Milky Way is essential to Galactic corona models of gamma-ray bursts, and to understanding the intrinsic properties of neutron stars. The recent discovery of very high velocity rotation-powered pulsars shows that we are far from understanding the shape of this velocity distribution. We investigate this distribution using a maximum likelihood approach. We carry out numerical simulations of the evolution of a population of pulsars in the Galaxy, assuming various models for the distribution of birth velocities and for the initial values and temporal evolution of the other intrinsic properties of the pulsars. We use these simulations and a characterization of the properties of radio instruments to calculate the expected distribution of observed properties of the pulsars. In this paper, we derive the resulting likelihood function for a nearly ideal instrument. As a simple illustrative example, we consider the expected and observed proper motions in the second Molonglo survey.

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