Effects of Electron Band Structure on Neutrino Pair Bremsstrahlung in Neutron Star Crusts

Astronomy and Astrophysics – Astrophysics

Scientific paper

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31 pages, RevTex, 6 embedded eps figures, uses epsf.sty, also available at http://www.nordita.dk/locinfo/preprints.html

Scientific paper

10.1103/PhysRevD.56.7548

We calculate the rate of energy emission by bremsstrahlung of neutrino pairs by electrons moving in the crystalline lattice of ions in dense matter in the crust of a neutron star. Since the periodic potential in the solid gives rise to electronic band gaps which can be as large as about 1 MeV, it is necessary in estimating the bremsstrahlung rate at low temperatures to take into account band structure in detail. We find that, in the densest parts of the inner crust of a neutron star, neutrino emission at temperatures of about $2\times 10^9$K or less is much suppressed compared with earlier estimates that treated the electron-lattice interaction perturbatively, and conclude that neutrino pair bremsstrahlung by electrons in the crusts of neutron stars is much less important for neutron star thermal evolution than was previously thought.

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