Spectroscopic amplitudes and microscopic substructure effects in nucleon capture reactions

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.

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

References in corpus (4)

• Benchmark Test Calculation of a Four-Nucleon Bound State
• Nuclear structure studies with the 7Li(e,e'p) reaction
• Role of spectroscopic factors in the potential-model description of the Be7(p,gamma)B8 reaction
• Low Energy Behavior of the \protect(^{7}\protect) Be \protect( (p,γ)^{8}\protect) B reaction

Cited by in corpus (4)

• New analysis method of the halo phenomenon in finite many-fermion systems. First applications to medium-mass atomic nuclei
• Low-Energy Direct Capture in the 8Li(n,gamma)9Li and 8B(p,gamma)9C Reactions
• Revisiting surface-integral formulations for one-nucleon transfers to bound and resonance states
• Many-body approach to proton emission and the role of spectroscopic factors