Why do millisecond pulsars have weaker magnetic fields compared to ordinary pulsars?

Details Why do millisecond pulsars have weaker magnetic fields compared to ordinary pulsars? Why do millisecond pulsars have weaker magnetic fields compared to ordinary pulsars?

2003-11-03

arxiv.org/abs/astro-ph/0311031v1

Curr.Sci. 88 (2004) 444

Astronomy and Astrophysics

Astrophysics

11 pages, 3 figures, submitted to Current Science

Scientific paper

Millisecond pulsars, with magnetic fields weaker by three to four orders compared to those of ordinary pulsars, are presumed to be neutron stars spun up by binary accretion. We expect the magnetic field to get screened by the accreted material. Our simulation of this screening mechanism shows, for the first time, that the field decreases by a purely geometric factor $\sin^{-7/2} \theta_{\rm P,i}$ before freezing to an asymptotic value, where $ \theta_{\rm P,i}$ is the initial angular width of the polar cap. If $ \theta_{\rm P,i}$ lies in the range $5^o$--$10^o$, then the magnetic field diminution factor turns out to be $\sim 10^3$--$10^4$ in conformity with observational data.

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