Abstract

A Lorentzian-Function Approximation (LFA) has been developed in calculating the nonresonant reaction rate of charged-particle-induced reactions. The nonresonant reaction rate and the effective S -factor have been represented in terms of LFA. In the frame of LFA, the nonresonant reaction taken place within the Gamow window can be considered as a “resonance reaction” with a width of Γ which is equal to that of 1/e width (Δ in a well-known Gaussian-Function Approximation (GFA).

Highlights

  • A Lorentzian-Function Approximation (LFA) has been developed in calculating the nonresonant reaction rate of charged-particle–induced reactions

  • A Lorentzian-Function Approximation (LFA) has been used to obtain some similar equations as those deduced from Gaussian-Function Approximation (GFA)

  • In terms of LFA, the full width at half maximum (FWHM) (Γ ) of the peak is defined as the effective width of the energy window, wherein most of the reactions take place

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Summary

THE EUROPEAN PHYSICAL JOURNAL A

A Lorentzian-Function Approximation developed in calculating the charged-particle–induced nonresonant reaction rate. Received: June 2007 Published online: July 2007 – c Societa Italiana di Fisica / Springer-Verlag 2007 Communicated by G.

Integrand function
Exact GFA LFA
Imax exp
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