On the Bottom Magnetic Fields of the Millisecond Pulsars

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 ${\dot{M}}^{1\mathrm{/}2}$. The possibility of the low field $\sim 10^{7}$ Gauss MSPs has been proposed for the future radio observation.