Table of Contents
Journal of Astrophysics
Volume 2014, Article ID 656784, 12 pages
Research Article

Analytical Results Connecting Stellar Structure Parameters and Extended Reaction Rates

1Office for Outer Space Affairs, United Nations, Vienna International Centre, P.O. Box 500, 1400 Vienna, Austria
2Centre for Mathematical Sciences Pala Campus, Arunapuram P.O., Palai, Kerala 686 574, India

Received 5 March 2014; Accepted 6 April 2014; Published 12 May 2014

Academic Editor: Milan S. Dimitrijevic

Copyright © 2014 Hans J. Haubold and Dilip Kumar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Possible modification in the velocity distribution in the nonresonant reaction rates leads to an extended reaction rate probability integral. The closed form representation for these thermonuclear functions is used to obtain the stellar luminosity and neutrino emission rates. The composite parameter that determines the standard nuclear reaction rate through the Maxwell-Boltzmann energy distribution is extended to by the extended reaction rates through a more general distribution than the Maxwell-Boltzmann distribution. The new distribution is obtained by the pathway model introduced by Mathai (2005). Simple analytic models considered by various authors are utilized for evaluating stellar luminosity and neutrino emission rates and are obtained in generalized special functions such as Meijer's G-function and Fox's H-function. The standard and extended nonresonant thermonuclear functions are compared by plotting them. Behaviour of the new energy distribution, which is more general than the Maxwell-Boltzmann, is also studied.