Dependence of the Shell-Model Single-Particle Energies on Different Components of the Nucleon-Nucleon Interaction

The spin-orbit splittings in the spectra of nuclei with mass numbers 5, 15 and 17 are studied within the framework of shell-model configuration mixing calculations including 2\(\hbar \omega\) excitations. The contributions of the two-body spin-orbit and tensor components of the nucleon-nucleon inter...

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Bibliographic Details
Published in:arXiv.org 2000-08
Main Authors: Sharon, Y Y, Fayache, M S, Y Durga Devi, Zamick, L, Muether, H
Format: Article
Language:English
Subjects:
Dependence
Mathematical analysis
Nucleon-nucleon interactions
Spin-orbit interactions
Splitting
Tensors
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Summary:The spin-orbit splittings in the spectra of nuclei with mass numbers 5, 15 and 17 are studied within the framework of shell-model configuration mixing calculations including 2\(\hbar \omega\) excitations. The contributions of the two-body spin-orbit and tensor components of the nucleon-nucleon interaction are studied in various model spaces. It is found that the effects of the two-body spin-orbit interaction are dominant and quite sensitive to the size of the model-space considered. The effects of the tensor interaction are weaker. The correlations effects which are included in the larger (0+2) \(\hbar \omega\) shell-model space reduce the spin-orbit splitting in the case of A=5 by 20%, and enhance it for A=15 by about the same 20%. However, it is found that the correlations have a very small effect on the \(d_{3/2} - d_{5/2}\) splitting in A=17.
ISSN:2331-8422