Probing the accretion induced collapse of white dwarfs in millisecond pulsars

This paper investigates the progenitors of Millisecond Pulsars (MSPs) with a distribution of long orbital periods (P-orb > 2 d), to show the link between white dwarf (WD) binaries and long orbits for some binary MSPs through the Accretion Induced Collapse (AIC) of a WD. For this purpose, a model is presented to turn binary MSPs into wide binaries and highly circular orbits (e < 0.1) through the asymmetric kick imparted to the pulsar during the AIC process, which may indicate a sizeable kick velocity along the rotation of the proto-neutron star. The results show the effects of shock wave, binding energy, and mass loss (0.2M(circle dot)). The model shows the pulsar systems are relevant to AIC-candidates.