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Analytical Results Connecting Stellar Structure Parameters and Neutrino Fluxes
Author(s) -
Haubold H. J.,
Mathai A. M.
Publication year - 1987
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19874990205
Subject(s) - neutrino , hypergeometric function , physics , simple (philosophy) , generalized hypergeometric function , stars , elementary function , nonlinear system , stellar structure , astrophysics , statistical physics , mathematics , stellar evolution , mathematical analysis , particle physics , quantum mechanics , philosophy , epistemology
This paper is an attempt to construct simple analytic models to study the internal structure of main sequence stars. Explicit closed form expressions, which are computable, are given for a number of quantities such as nuclear reaction rate, luminosity, and the number of two particle reactions when the radial matter density of the stellar model is a nonlinear function decreasing from the center to the surface. All analytic results are obtained by taking advantage of the integration theory of generalized hypergeometric functions.