# On Isolated Millisecond Pulsars Formed by the Coalescence of Neutron Stars and Massive White Dwarfs

## TL;DR

This study uses population synthesis to explore the formation of isolated millisecond pulsars from neutron star and white dwarf coalescence, estimating their birth rates, masses, and spin periods.

## Contribution

It provides the first detailed population synthesis analysis of IMSPs formed by NS-WD coalescence, including birth rates, mass ranges, and spin period distributions.

## Key findings

- IMSP birth rate between 5.8×10^{-5} and 2.0×10^{-4} per year
- IMSP masses range from 1.5 to 2.0 solar masses
- Most IMSPs have spin periods from several to 20 milliseconds

## Abstract

This paper uses population synthesis to investigate the possible origin of isolated millisecond pulsars (IMSPs) as born from the coalescence of a neutron star (NS) and a white dwarf (WD). Results show that the galactic birth - rate of IMSPs is likely to lie between $5.8\times10^{-5}$ $\rm yr^{-1}$ and $2.0\times10^{-4}$ $\rm yr^{-1}$, depending on critical variables, such as the stability of mass transfer via the Roche lobe and the value of kick velocity. In addition to this, this paper estimates that the solar mass of IMSPs can range from $1.5$ and 2.0 $M_{\odot}$, making them more massive than other 'normal' pulsars. Finally, the majority of IMSPs in our simulations have spin periods ranging from several to 20 milliseconds, which is consistent with previous observations.