Neutrino energy loss by electron capture in magnetic field at the crusts of neutron stars**Supported by National Natural Science Foundation of China (10778719) and Scientific Research and Fund of Sichuan Provincial Education Department (2006A079)

Abstract

Based on the p-f shell model, the effect of strong magnetic field on neutrino energy loss rates by electron capture is investigated. The calculations show that the magnetic field has only a slight effect on the neutrino energy loss rates in the range of 108–1013 G on the surfaces of most neutron stars. But for some magnetars, the range of the magnetic field is 1013–1018 G, and the neutrino energy loss rates are greatly reduced, even by more than four orders of magnitude due to the strong magnetic field.