A Unified Study of Astrophysical Thermonuclear Functions for Boltzmann-Gibbs Statistics and Tsallis Statistics and -Function

Abstract

The author presents an analytic proof of the integrals for astrophysical thermonuclear functions which are derived on the basis of Boltzmann-Gibbs statistical mechanics. Among the four different cases of astrophysical thermonuclear functions, those with a depleted high-energy tail and a cut-off at high energies find a natural interpretation in q-statistics.