Permanent mean spin source of the chiral magnetic effect in neutron stars

Abstract

We suggest the generalization of the Anomalous Magneto-Hydro-Dynamics (AMHD) in the chiral plasma of a neutron star (NS) accounting for the mean spin in the ultrarelativistic degenerate electron gas within the magnetized NS core as a continuing source of the chiral magnetic effect. Using the mean field dynamo model generalized in AMHD, one can obtain the growth of a seed magnetic field up to 1018 G for an old non-superfluid NS at its neutrino cooling era t < 106 yr, while neglecting any matter turbulence within its core and assuming the rigid NS rotation. The application of the suggested approach to the evolution of magnetic fields observed in magnetars, B∼ 1015 G, should be self-consistent with all approximations used in the suggested laminar dynamo, at least, up to the jumps of growing fields.