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On Nuclear Reaction Rate Theory
Author(s) -
Haubold H. J.,
Mathai A. M.
Publication year - 1984
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.19844960604
Subject(s) - nuclear reaction , nucleosynthesis , physics , reaction rate , basis (linear algebra) , statistical physics , nuclear astrophysics , chemical kinetics , theoretical physics , nuclear physics , kinetics , classical mechanics , mathematics , chemistry , biochemistry , geometry , catalysis
A fundamental problem in the theory of cosmological and stellar nucleosynthesis is the determination of reaction rates. The current theories of nuclear kinetics are equilibrium theories with a strict Maxwell‐Boltzmannian approach to the evaluation of reaction rates. This paper investigates in some detail the relation between the macroscopic nuclear reaction probability and the microscopic nuclear reaction cross section on the basis of equilibrium‐thermodynamic arguments. A general form of the nuclear reaction probability is derived, and the most general collision probability integral is evaluated in closed form for all convenient values of the parameters by using random variables.