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Spectroscopic amplitudes and microscopic substructure effects in nucleon capture reactions

Jutta Escher·Byron K. Jennings·Helmy S. Sherif
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Abstract

Spectroscopic amplitudes play an important role in nuclear capture reactions. These amplitudes are shown to include both single-particle and polarization effects: the former through their spatial dependence and the latter through their normalization (the spectroscopic factors). Coupled-channels equations are developed for the spectroscopic amplitudes. These equations serve as a convenient starting point for the derivation of several approximations: Hartree, Hartree-Fock and two different single-particle models. The single-particle models include antisymmetry in different ways, but both miss many-body effects. Therefore, cross sections calculated with either of these models need to be multiplied by the spectroscopic factor.

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Jutta Escher, Byron K. Jennings, Helmy S. Sherif. 2001-10-10. Spectroscopic amplitudes and microscopic substructure effects in nucleon capture reactions. https://doi.org/10.1103/physrevc.64.065801

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