Abstract
The neutrino luminosity by the ordinary URCA process in a strongly magnetized electron gas is computed. General formulae are presented for the URCA energy loss rates for an arbitrary degree of degeneracy. Analytic expressions are derived for a completely degenerate, relativistic electron plasma in the special case of neutron-proton conversion. Numerical results are given for more general cases. The main results are as follows: the URCA energy loss rates are drastically reduced for the regime of great degeneracy by a factor up to 10−3 for Θ≅1, andT 9≲10, where Θ=H/H q ,H q =m 2 c 3/eh=4.414×1013 G. In the non-degenerate regime the neutrino luminosity is enhanced approximately linearly with Θ for the temperature range 1≲T 9≲10. Possible applications to white dwarfs and neutron stars are briefly discussed.
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