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 ...

A kinetic description of collective plasma effects for the thermonuclear reaction rates based on the generalization of modern plasma fluctuation approach shows that, in contrast to Salpeter’s enhancement, a decrease of the thermonuclear reaction rates is present which is larger for larger nuclei charge. By numerical evaluation of the thermonuclear reaction rates in the solar interior it is foun...

An overview is presented on statistical techniques for the analytic evaluation of integrals for non-resonant, non-resonant depleted, non-resonant cut-off, non-resonant sccreened, and resonant thermonuclear reaction rates. The techniques are based on statistical distribution theory and the theory of Meijer’s G-function and Fox’s H-function. The implementation of Meijer’s G-function in Mathematic...

Stars are gravitationally stabilized fusion reactors changing their chemical composition while transforming light atomic nuclei into heavy ones. The atomic nuclei are supposed to be in thermal equilibrium with the ambient plasma. The majority of reactions among nuclei leading to a nuclear transformation are inhibited by the necessity for the charged participants to tunnel through their mutual C...

Differences between the abundances of isotopes of elements in the planetary system, in the solar wind, and in solar flares suggest that a) the most abundant nuclear species in the sun is Fe (the ash of violent thermonuclear reactions at equilibrium) rather than H (the best fuel for thermonuclear reactions), and b) nuclear reactions in the outer regions of the sun produce N by the N(H, βν)N reac...