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The effect of interior magnetic field on the modified URCA process and the cooling of neutron stars

The effect of a strong magnetic field on the modified Urca process in neutron star cores is considered in this paper. It is found that this effect is significant when the interior magnetic field is greater than1018 G, especially at some resonant states. In these situations, the strong magnetic field will significantly increase the rate of neutrino emission and influence the cooling of neutron stars. Comparing with the observational data, we provide information about the order of the strength of interior magnetic field for the first time. The strength we obtained is about∼ 1019 G.