Analytic representations of standard and extended non-resonant thermonuclear functions with depleted tail through the pathway model

TL;DR

This paper develops analytical expressions for non-resonant thermonuclear functions, extending standard models to include depleted tails and Tsallis reaction rates using the pathway model, with results expressed via H-functions.

Contribution

It introduces closed-form analytical results for non-resonant thermonuclear functions with depleted tails, extending to Tsallis reaction rates through the pathway model.

Findings

Analytical forms derived in terms of H-functions.

Extension of standard models to pathway energy distribution.

Comparison between Maxwell-Boltzmann and pathway energy distributions.

Abstract

The method for the evaluation of the non-resonant thermonuclear function in the Maxwell-Boltzmann case with depleted tail is discussed. Closed forms of the analytical results are obtained in computational format, and written in terms of the H-function in two variables. The standard non-resonant cases are extended to Tsallis reaction rates through the pathway model. Behavior of the depleted non-resonant thermonuclear function is studied. A comparison of the Maxwell-Boltzmann energy distribution with a more general energy distribution called pathway energy distribution is also done.