A strange star scenario for the formation of isolated millisecond pulsars

Abstract

According to the recycling model, neutron stars in low-mass X-ray binaries were spun up to millisecond pulsars (MSPs), which indicates that all MSPs in the Galactic plane ought to be harbored in binaries. However, about $20\%$ Galactic field MSPs are found to be solitary. To interpret this problem, we assume that the accreting neutron star in binaries may collapse and become a strange star when it reaches some critical mass limit. Mass loss and a weak kick induced by asymmetric collapse during the phase transition (PT) from neutron star to strange star can result in isolated MSPs. In this work, we use a population-synthesis code to examine the PT model. The simulated results show that a kick velocity of $\sim 60{\mathrm{km}\mathrm{s}}^{-1}$ can produce $\sim 6\times 10^3$ isolated MSPs and birth rate of $\sim 6.6\times 10^{-7}{\mathrm{yr}}^{-1}$ in the Galaxy, which is approximately in agreement with predictions from observations. For the purpose of comparisons with future observation, we also give the mass distributions of radio and X-ray binary MSPs, along with the delay time distribution.

arXiv comment9 pages, 11 figures, accepted to publish on A&A

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