Calculation of the astrophysical S-factor S_12 with the Lorentz integral transform

Abstract

The LIT approach is tested for the calculation of astrophysical S-factors. As an example the S-factor of the reaction 2H(p,gamma)3He is considered. It is discussed that a sufficiently high density of LIT states at low energies is necessary for a precise determination of S-factors. In particular it is shown that the hyperspherical basis is not very well suited for such a calculation and that a different basis system is much more advantageous. A comparison of LIT results with calculations, where continuum wave functions are explicitly used, shows that the LIT approach leads to reliable results. It is also shown how an error estimate of the LIT inversion can be obtained.

arXiv comment21 pages, 8 figures, accepted for publication in Few-Body Syst., corrected typos in text and in Eqs. (7), (11), (12), (15)

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Cited by in corpus (3)

• On calculating response functions via their Lorentz integral transforms
• Determination of S-factors with the LIT method
• Ab initio calculations for non-strange and strange few-baryon systems