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Analytic results for screened non-resonant nuclear reaction rates

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Abstract

This paper deals with the closed-form representation of the non-resonant nuclear reaction rate taking into account electron screening effects for the reacting particles. The basic physical principles concerning nuclear reactions in dense astrophysical plasmas are applied to derive the representation of the screened nuclear reaction rate integral. Taking advantage of the theory of Meijer'sG-function it is shown that both the reaction rate integrals with and without screening corrections can be represented in closed form. Mathematical approximations for the reaction rate integral, till now considered as inevitable in the literature, are avoided and exact computable representations given.

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References

  • Bahcall, J. N.: 1966,Astrophys. J. 143, 259.

    Google Scholar 

  • Clayton, D. D.: 1968,Principles of Stellar Evolution and Nucleosynthesis, McGraw-Hill Co., New York.

    Google Scholar 

  • Critchfield, C. L.: 1972, in F. Reines (ed.),Cosmology, Fusion and Other Matters, George Gamow Memorial Volume, University of Colorado Press, Colorado.

    Google Scholar 

  • Fowler, W. A.: 1984,Rev. Mod. Phys. 56, 149.

    Google Scholar 

  • Frank-Kamenetskii, D. A.: 1959,Physikalische Prozesse im Inneren der Sterne, Fizmatgiz, Moscow (in Russian).

    Google Scholar 

  • Haubold, H. J. and Mathai, A. M.: 1986, ‘Analytic Representations of Thermonuclear Reaction Rates’, Akademie der Wissenschaften der DDR, Zentralinstitut für Astrophysik, Potsdam-Babelsberg (preprint).

    Google Scholar 

  • Haubold, H. J. and Mathai, A. M.: 1984,Ann. Phys. (Leipzig) 41, 380.

    Google Scholar 

  • Haubold, H. J. and John, R. W.: 1982,Astron. Nachr. 303, 161.

    Google Scholar 

  • Mathai, A. M. and Saxena, R. K.: 1973,Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences, Lecture Notes in Mathematics, Vol. 348, Springer-Verlag, Berlin-Heidelberg-New York.

    Google Scholar 

  • Mitler, H. E.: 1977,Astrophys. J. 212, 513.

    Google Scholar 

  • Prudnikov, A. P., Bryckov, J. A., and Maricev, O. I.: 1981,Integrale und Reihen, Nauka, Moscow (in Russian).

    Google Scholar 

  • Salpeter, E.E.: 1954,Australian J. Phys. 7, 373.

    Google Scholar 

  • Schatzman, E.: 1948,J. Phys. Rad. 9, 46.

    Google Scholar 

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Author notes

  1. H. J. Haubould

    Present address: Zentralinstitut für Astrophysik, Akademie der Wissenschaften der DDR, Potsdam-Babelsberg, G.D.R.

Authors and Affiliations

  1. Department of Mathematics and Statistics, McGill University, Montreal, P.Q., Canada

    H. J. Haubould & A. M. Mathai

Authors
  1. H. J. Haubould
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  2. A. M. Mathai
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Haubould, H.J., Mathai, A.M. Analytic results for screened non-resonant nuclear reaction rates. Astrophys Space Sci 127, 45–53 (1986). https://doi.org/10.1007/BF00637761

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  • DOI: https://doi.org/10.1007/BF00637761

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