paper

Recycling neutron stars to ultra short periods: a statistical analysis of their evolution in the mu-P plane

arXiv:astro-ph/9907231 · doi:10.1086/313281

Abstract

We investigate the statistical evolution of magnetic neutron stars, recycled in binary systems, simulating synthetic populations. To bracket uncertainties, we consider a soft (FP) and a stiff (PS) equation of state (EoS) for nuclear matter and explore the hypothesis that the magnetic field is confined in the stellar crust. We follow the magneto-rotational evolution within a simple recycling scenario, including the possibility of magnetospheric propeller. We find the presence of a tail in the period distribution of the synthetic populations at periods shorter than 1.558 ms, the minimum detected so far. For the soft EoS the recycling gives rise to a spin distribution which is increasing monotonically toward short periods and a clear ``barrier'' forms at the minimum period for the onset of mass shedding. For the stiff EoS the distribution is flatter displaying a broad maximum about 2-4 ms. The estimated fraction of neutron stars spinning close to their shedding limit over the millisecond pulsar population is found to be significant. Crustal magnetic field decay models predict the existence of massive (M>1.4 M_sun) rapidly spinning neutron stars with very low magnetic moment.

34 pages, 2 tables, 9 figures, Latex. Accepted (5 Jul 99) for publication in the Astrophysical Journal Supplements

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