Neutron stars with submillisecond periods: a population of high mass objects?

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Abstract
Fast spinning neutron stars, recycled in low mass binaries, may have accreted a substantial amount of mass. The available relativistic measurements of neutron star masses, all clustering around 1.4 M_sun, however refer mostly to slowly rotating neutron stars which accreted a tiny amount of mass during evolution in a massive binary system. We develop a semi-analytical model for studying the evolution of the spin period P of a magnetic neutron star as a function of the baryonic mass load M_{ac}; evolution is followed down to submillisecond periods and the magnetic field is allowed to decay significantly before the end of recycling. We use different equations of state and include rotational deformation effects, the presence of a strong gravitational field and of a magnetosphere. For the non-magnetic case, comparison with numerical relativistic codes shows the accuracy of our description. The minimum accreted mass requested to spin-up a magnetized 1.35M_sun-neutron star at a few millisecond is 0.05 M_sun, while this value doubles for an unmagnetized neutron star. Below 1 millisecond the request is of at least 0.25 M_sun. There may exist a yet undetected population of massive submillisecond neutron stars. The discovery of a submillisecond neutron star would imply a lower limit for its mass of about 1.7M_sun.

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