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Abstract
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In this paper, some properties of rel ativistically degenerate quantum plasmas, such as static ion
screening, structure factor, and Thomson scattering cross-section, are studied in the framework of linearized quantum hydrodynamic theory with the newly proposed kinetic c-correction to Bohm term in
low frequency limit. It is found that the correction has a significant effect on the properties of quantum
plasmas in all density regimes, ranging from solid-density up to that of white dwarf stars. It is also
found that Shukla-Eliasson attractive force exists up to a few times the density of metals, and the ionic
correlations are seemingly apparent in the radial distribution function signature. Simplified statically
screened attractive and repulsive potentials are presented for zero-temperature Fermi-Dirac plasmas,
valid for a wide range of quantum plasma number-density and atomic number values. Moreover, it is
observed that crystallization of white dwarfs beyond a critical core number-density persists with this
new kinetic correction, but it is shifted to a much higher number-density value of
n0 ’ 1.94 1037 cm3 (1.77 1010 gr cm3), which is nearly four orders of magnitude less than the
nuclear density. It is found that the maximal Thomson scattering with the c-corrected structure factor
is a remarkable property of white dwarf stars. However, with the new c-correction, the maximal scattering shifts to the spectrum region between hard X-ray and low-energy gamma-rays. White dwarfs
composed of higher atomic-number ions are observed to maximally Thomson-scatter at slightly higher
wavelengths, i.e., they maximally scatter slightly low-energy photons in the presence of correction.
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