dorsal/arxiv
View SchemaRelativistic treatment of the charged-current reaction ${}^{12}{\rm C}(\nu_{\mu},\mu^{-})$ near threshold
| Authors | Hungchong Kim, J. Piekarewicz, C. J. Horowitz |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9502041 |
| URL | https://arxiv.org/abs/nucl-th/9502041 |
Abstract
We compute the cross section for the charged-current reaction ${}^{12}{\rm C}(\nu_{\mu},\mu^{-})$ near threshold using a relativistic mean-field formalism. A reduced value of the nucleon mass in the medium --- coupled to the finite muon mass --- leads to a 30\% reduction in the cross section relative to a free Fermi-gas estimate. Isovector RPA correlations, which are strongly repulsive at these momentum transfers, reduce the cross section by an additional 15-30\%. Hence, relativistic nuclear-structure effects can account for the more than a factor-of-two reduction in the cross section recently reported by the LSND collaboration.
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"date_created": "2026-03-02T18:00:15.415000Z",
"date_modified": "2026-03-02T18:00:15.415000Z",
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"abstract": "We compute the cross section for the charged-current reaction ${}^{12}{\\rm\nC}(\\nu_{\\mu},\\mu^{-})$ near threshold using a relativistic mean-field\nformalism. A reduced value of the nucleon mass in the medium --- coupled to the\nfinite muon mass --- leads to a 30\\% reduction in the cross section relative to\na free Fermi-gas estimate. Isovector RPA correlations, which are strongly\nrepulsive at these momentum transfers, reduce the cross section by an\nadditional 15-30\\%. Hence, relativistic nuclear-structure effects can account\nfor the more than a factor-of-two reduction in the cross section recently\nreported by the LSND collaboration.",
"arxiv_id": "nucl-th/9502041",
"authors": [
"Hungchong Kim",
"J. Piekarewicz",
"C. J. Horowitz"
],
"categories": [
"nucl-th"
],
"title": "Relativistic treatment of the charged-current reaction ${}^{12}{\\rm C}(\\nu_{\\mu},\\mu^{-})$ near threshold",
"url": "https://arxiv.org/abs/nucl-th/9502041"
},
"schema_id": "dorsal/arxiv",
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"execution_id": "0f0803e2-c884-44de-b95e-9fe947fd0027",
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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