Extension of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions
arXiv:0708.2239 · doi:10.1016/j.astropartphys.2007.11.006
Abstract
The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases of distribution functions. An analytical study of respective thermonuclear functions is being conducted with the help of statistical techniques. The pathway model, recently introduced by Mathai (2005), is utilized for thermonuclear functions and closed-form representations are obtained in terms of H-functions and G-functions. Maxwell-Boltzmannian thermonuclear functions become particular cases of the extended thermonuclear functions. A brief review on the development of the theory of analytic representations of nuclear reaction rates is given.
16 pages, LaTeX
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- Closed-form representations of extended astrophysical thermonuclear functions
- Analytic representations of standard and extended non-resonant thermonuclear functions with depleted tail through the pathway model
- Analytical results connecting stellar structure parameters and extended reaction rates