# Probing the Accretion Induced Collapse of White Dwarfs in Millisecond Pulsars

## TL;DR

This paper explores how the accretion-induced collapse of white dwarfs can produce millisecond pulsars with long, circular orbits, linking white dwarf binaries to pulsar formation through a detailed model.

## Contribution

It introduces a new model demonstrating how AIC of white dwarfs can lead to wide, circular binary pulsar systems, highlighting the role of asymmetric kicks during collapse.

## Key findings

- White dwarf AIC can produce long-orbit MSPs
- Asymmetric kicks influence orbital properties
- Model matches observed pulsar system characteristics

## Abstract

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_sun). The model shows the pulsar systems are relevant to AIC-candidates.