Equivalence between local Fermi gas and shell models in inclusive muon capture from nuclei |
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Authors: | Email author" target="_blank">J?E?AmaroEmail author C?Maieron J?Nieves M?Valverde |
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Institution: | (1) Departamento de Fısica Moderna, Universidad de Granada, 18071 Granada, Spain;(2) Sezione di Catania, INFN, Via Santa Sofia 64, 95123 Catania, Italy |
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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.
An erratum to this article is available at . |
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Keywords: | 23 40 Bw Weak-interaction and lepton (including neutrino) aspects 25 30 -c Lepton-induced reactions 21 60 Cs Shell model |
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