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Charged current neutrino interactions in hot and dense matter

Dec 8, 2016

15 pages

Published in:

Phys.Rev.C 95 (2017) 4, 045807

Published: Apr 27, 2017

e-Print:

1612.02764 [astro-ph.HE]

DOI:

10.1103/PhysRevC.95.045807

Report number:

INT-PUB-16-048

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Abstract: (APS)

We derive the charged current absorption rate of electron and antielectron neutrinos in dense matter using a fully relativistic approach valid at arbitrary matter degeneracy. We include mean field energy shifts due to nuclear interactions and the corrections due to weak magnetism. The rates are derived both from the familiar Fermi's golden rule and from the techniques of finite temperature field theory, and are shown to be equivalent. In various limits, these results can also be used to calculate neutral current opacities. We find that some pieces of the response have been left out in previous derivations and their contribution at high density can be significant. Useful formulas and detailed derivations are presented and we provide a new open-source implementation of these opacities for use in radiation hydrodynamic simulations of core-collapse supernovae and neutron star mergers.

Note:

20 pages, 5 figures. Accepted to PRC

neutrino: interaction
field theory: finite temperature
nucleus: interaction
density: high
charged current
opacity
mean field approximation
neutral current
hydrodynamics
neutron star

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