On the Bottom Magnetic Fields of the Millisecond Pulsars

Abstract

The magnetic field strengths of most millisecond pulsars(MSP) are about $10^{8-9}$ Gauss. The accretion induced magnetic field evolution scenario here concludes that the field decay is invesely related to the accreted mass and the minimum field or bottom field stops at about $10^{8}$ Gauss if accreted with the Eddington accretion rate, which is proportionally related with the accretion rate as $\dot{M}^{1/2}$. The possibility of the low field $\sim 10^{7}$ Gauss MSPs has been proposed for the future radio observation.