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arXiv · 1603.04227

Screening corrections to the Coulomb crystal elastic moduli

D. A. Baiko
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Abstract

Corrections to elastic moduli, including the effective shear modulus, of a solid neutron star crust due to electron screening are calculated. At any given mass density, the crust is modelled as a body-centred cubic Coulomb crystal of fully ionized atomic nuclei of a single type with a polarizable charge-compensating electron background. Motion of the nuclei is neglected. The electron polarization is described by a simple Thomas-Fermi model of exponential electron screening. The results of numerical calculations are fitted by convenient analytic formulae. They should be used for precise neutron star oscillation modelling, a rapidly developing branch of stellar seismology.

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D. A. Baiko. 2016-03-14. Screening corrections to the Coulomb crystal elastic moduli. https://doi.org/10.1093/mnras%2Fstv1166

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