English

Spectroscopic amplitudes and microscopic substructure effects in nucleon capture reactions

Nuclear Theory 2009-11-07 v2

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.

Keywords

Cite

@article{arxiv.nucl-th/0107011,
  title  = {Spectroscopic amplitudes and microscopic substructure effects in nucleon capture reactions},
  author = {Jutta Escher and Byron K. Jennings and Helmy S. Sherif},
  journal= {arXiv preprint arXiv:nucl-th/0107011},
  year   = {2009}
}

Comments

no figures; replaced by version accepted for publication by PRC; modified version includes some changes to wording and notation, updated references

R2 v1 2026-07-22T18:25:42.131Z