Effects of nucleon-nucleon interactions on scattering of neutrinos in neutron matter

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Abstract
We calculate neutrino mean free paths from neutrino-neutron scattering in neutron matter. We formulate the problem such that the correlation effects of the neutron system can be taken into account in terms of Landau parameters. It is shown that the neutrinos are scattered not only by single-pair excitations (in the density and spin-density channels) but also by the collective mode of the system (spin-zero sound). We find that for degenerate neutrinos the effects of nucleon-nucleon interactions reduce the neutrino scattering rate by a factor 2-3, where the contribution from the collective mode is negligible because its temperature dependence is different from that of the single-pair excitations.

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