Neutron-phonon interaction in neutron stars: Phonon spectrum of Coulomb lattice |
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| Authors: | A D Sedrakian |
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| Institution: | (1) Research Unit  Theoretical Many-Particle Physics at Rostock University, Max-Planck-Society, Universitätsplatz 1, 18051 Rostock, Germany;(2) Department of Physics, Yerevan State University, Yerevan, Armenia |
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| Abstract: | 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 densities 
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 
s
/3, where
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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