dorsal/arxiv
View SchemaEquivalence between local Fermi gas and shell models in inclusive muon capture from nuclei
| Authors | J. E. Amaro, C. Maieron, J. Nieves, M. Valverde |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0409017 |
| URL | https://arxiv.org/abs/nucl-th/0409017 |
| DOI | 10.1140/epja/i2005-10034-2 |
| Journal | Eur.Phys.J.A24:343-353,2005; Eur.Phys.J.A26:307-309,2005 |
Abstract
Motivated by recent studies of inclusive neutrino nucleus processes and muon capture within a correlated local Fermi gas model (LFG), we discuss the relevance of nuclear finite size effects in these reactions at low energy, in particular for muon capture. To disentangle these effects from others coming from the reaction dynamics we employ here a simple uncorrelated shell model that embodies the typical finite size content of the problem. The integrated decay widths of muon atoms calculated with this shell model are then compared for several nuclei with those obtained within the uncorrelated LFG, using in both models exactly the same theoretical ingredients and parameters. We find that the two predictions are in quite good agreement, within 1--7%, when the shell model density and the correct energy balance is used as input in the LFG calculation. The present study indicates that, despite the low excitation energies involved in the reaction, integrated inclusive observables, like the total muon capture width, are quite independent of the fine details of the nuclear wave functions.
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"abstract": "Motivated by recent studies of inclusive neutrino nucleus processes and muon\ncapture within a correlated local Fermi gas model (LFG), we discuss the\nrelevance of nuclear finite size effects in these reactions at low energy, in\nparticular for muon capture. To disentangle these effects from others coming\nfrom the reaction dynamics we employ here a simple uncorrelated shell model\nthat embodies the typical finite size content of the problem. The integrated\ndecay widths of muon atoms calculated with this shell model are then compared\nfor several nuclei with those obtained within the uncorrelated LFG, using in\nboth models exactly the same theoretical ingredients and parameters. We find\nthat the two predictions are in quite good agreement, within 1--7%, when the\nshell model density and the correct energy balance is used as input in the LFG\ncalculation. The present study indicates that, despite the low excitation\nenergies involved in the reaction, integrated inclusive observables, like the\ntotal muon capture width, are quite independent of the fine details of the\nnuclear wave functions.",
"arxiv_id": "nucl-th/0409017",
"authors": [
"J. E. Amaro",
"C. Maieron",
"J. Nieves",
"M. Valverde"
],
"categories": [
"nucl-th"
],
"doi": "10.1140/epja/i2005-10034-2",
"journal_ref": "Eur.Phys.J.A24:343-353,2005; Eur.Phys.J.A26:307-309,2005",
"title": "Equivalence between local Fermi gas and shell models in inclusive muon capture from nuclei",
"url": "https://arxiv.org/abs/nucl-th/0409017"
},
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