Neutrino-pair radiation form neutron star crusts: Collective effects

Abstract

We present a method to calculate $\nu \bar{\nu}$ energy losses from neutron star crusts, which automatically takes into account for collective effects, and allows to calculate the total emissivity without a separate consideration of particular processes. We show that the formula we obtain describe the known results for the emissivity due to plasmon decay and Bremsstrahlung from degenerate electrons, when one of this processes dominates. In the case of low temperatures, our formula gives a suppression of the electron vector weak-current contribution to $\nu \bar{\nu}$ Bremsstrahlung, due to the collective effects discussed in this paper.