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Closed-form evaluation and approximation considerations of the non-resonant thermonuclear reaction rate

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Abstract

By use of a highly efficient theory of generalized hypergeometric functions, we show that the non-resonant thermonuclear reaction rate can be evaluated in closed form. This new approach is advantageous to operate analytically with reaction rates The numerical computation of the rate may be performed with the aid of associated differential equation, a convergent series expansion for small values of the characteristic parameter and an asymptotic expansion for large values of the characteristic parameter.

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References

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

    Google Scholar 

  • Clayton, D. D.: 1974,Nature 249, 131.

    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.: 1974,Quart. J. Roy. Astron. Soc. (London) 15, 82.

    Google Scholar 

  • Fowler, W. A., Caughlan., G. R., and Zimmerman, B. A.: 1967,Ann. Rev. Astron. Astrophys. 5, 525.

    Google Scholar 

  • Fowler, W. A., Caughlan, G. R., and Zimmerman, B. A.: 1975,Ann. Rev. Astron. Astrophys. 13, 69.

    Google Scholar 

  • Fowler, W. A.: 1978, ‘Nuclear Astrophysics’, Preprint Caltech.

  • Harrison, E. R.: 1964,Proc. Phys. Soc. (London) B 84, 213.

    Google Scholar 

  • Haubold, H. J. and John, R. W.: 1978,Astron. Nachr. 299, 225;300, 173.

    Google Scholar 

  • Haubold, H. J. and John, R. W.: 1979,Astron. Nachr. 300, 63.

    Google Scholar 

  • Salpeter, E. E.: 1952,Phys. Rev. 88, 547.

    Google Scholar 

  • Thompson, W. B.: 1957,Proc. Phys. Soc. (London) B, 70, 1.

    Google Scholar 

  • Vasil'ev, S. S., Kočarov, G. E., and Levkovskij, A. A.: 1974,Izvest. Akad. Nauk SSSR, Ser. Fiz. 38, 1827.

    Google Scholar 

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Haubold, H.J., John, R.W. Closed-form evaluation and approximation considerations of the non-resonant thermonuclear reaction rate. Astrophys Space Sci 75, 531–534 (1981). https://doi.org/10.1007/BF00648662

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  • DOI: https://doi.org/10.1007/BF00648662

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