Pathway parameter and thermonuclear functions

Details Pathway parameter and thermonuclear functions Pathway parameter and thermonuclear functions

2007-08-16

arxiv.org/abs/0708.2231v1

Physica A 387(2008)2462-2470

Physics

Condensed Matter

Statistical Mechanics

8 pages, Plain Tex

Scientific paper

10.1016/j.physa.2008.01.031

In the theory of thermonuclear reaction rates, analytical evaluation of thermonuclear functions for non-resonant reactions, including cases with cut-off and depletion of the tail of the Maxwell-Boltzmann distribution function were considered in a series of papers by Mathai and Haubold (1988). In the present paper we study more general classes of thermonuclear functions by introducing a pathway parameter alpha, so that when alpha --> 1 the thermonuclear functions in the Maxwell-Boltzmannian case are recovered. We will also give interpretations for the pathway parameter alpha in the case of cut-off and in terms of moments.

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