Questions on accreting mass and minimum magnetic field of millisecond pulsars

TL;DR

This paper investigates the relationship between mass accretion, magnetic field dilution, and minimum magnetic field strength in millisecond pulsars, revealing that the minimum field can reach 10^7 Gauss under certain accretion conditions.

Contribution

It introduces a model linking accreted mass and magnetic field decay, providing new insights into the minimum magnetic field of MSPs independent of their initial fields.

Findings

Minimum magnetic field of MSPs can be as low as 10^7 Gauss.

Magnetic field dilution is proportional to the accretion rate.

The minimum field is independent of the initial magnetic field.

Abstract

About 0.2 solar mass is absorbed by the millisecond pulsar (MSP) at the binary accretion phase, while the polar magnetic field of MSP is diluted to a magnitude of order 108.5 Gauss, which is proportionally related to the mass accretion rate. It is found that the minimum magnetic field of MSP can be as low as 107 Gauss if the accretion rate of the binary system reaches its the minimum value of 1015 g/s. This bottom field has nothing to do with the MSP initial field. Some questions on MPSs are proposed and answered.