Canuto, V., and C.K. Chou, 1971: Neutrino luminosity by the ordinary URCA process in an intense magnetic field. Astrophys. Space Sci., 10, 246-264, doi:10.1007/BF00704085.
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, and T9 ≲ 10, where Θ = H/Hq, Hq = m2c3/eℏ = 4.414×1013 G. In the non-degenerate regime the neutrino luminosity is enhanced approximately linearly with Θ for the temperature range 1 <~ T9 ≲ 10. Possible applications to white dwarfs and neutron stars are briefly discussed.