Reference system approach within the white-dwarfs theory

TL;DR

This paper adapts a reference system approach to calculate properties of electron-nuclear models in white dwarf densities, focusing on correlation functions and Coulomb interactions at zero temperature.

Contribution

It introduces a method combining reference system approach with local field approximation for degenerate relativistic electron gases in white dwarf conditions.

Findings

Calculated two- and three-particle correlation functions.

Determined Coulomb contributions to energy and equation of state.

Applied adiabatic approximation at T=0 K.

Abstract

Reference system approach of non-relativistic electron fluid theory was adapted for calculation of characteristics of the electron-nuclear model at the densities typical of degenerate dwarfs. Two- and three correlation functions of degenerate relativistic electron gas have been calculated in the momentum-frequency representation in the local field approximation. Main contributions of the Coulomb interactions to the energy and equation of state of the model at $T=0$ K have been calculated in the adiabatic approximation.