Neutrino energy loss by electron capture in magnetic field at the crusts of neutron stars

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 10(8)-10(13) G on the surfaces of most neutron stars. But for some. magnetars, the range of the magnetic field is 10(13)-10(18) G, and the neutrino energy loss rates are greatly reduced, even by-more than four orders of magnitude due to the strong magnetic field.