Neutron-Phonon Interaction in Neutron Stars: Phonon Spectrum of Coulomb Lattice

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The phonon excitation spectrum of Coulomb lattice in the neutron star crusts is studied by solving Dyson's equation for phonons. It is shown that a strong renormalization of the phonon spectrum occurs at densitiesρ≥ρ s /4 for the crustal matter compositions with spherical nuclei, which imply relatively small nuclear mass numbers and charges. It is shown that, the lattice becomes unstable against density fluctuations above a critical density of the order of ˜ρ s /3, whereρ s ≃2.6x1014 g cm-3 is the nuclear saturation density. The neutron quasiparticle spectrum and the virtual mass of a nucleus are briefly discussed.

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