Neutron-Phonon Interaction in Neutron Star Crusts

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The phonon spectrum of Coulomb lattice in neutron star crusts above the neutron drip density is affected by the interaction with the ambient neutron Fermi-liquid. For the values of the neutron-phonon coupling constant in the range $0.1 \le λ\le 1$ an appreciable renormalization of the phonon spectrum occurs which can lead to a lattice instability manifested in an exponential growth of the density fluctuations. The BCS phonon exchange mechanism of superconductivity leads to neutron pairing with a gap in the neutron excitation spectrum comparable to that due to the direct nuclear interaction.
5 pages, Latex, 3 figures; published in Proc. Int. Workshop Hirshegg '98, Nuclear Astrophysics, eds. M. Buballa, W. Noerenberg, J. Wambach, A. Wirzba, p. 54

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