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Relativistic treatment of the charged-current reaction ${}^{12}{\rm C}(ν_μ,μ^{-})$ near threshold

Hungchong Kim·J. Piekarewicz·C. J. Horowitz
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Abstract

We compute the cross section for the charged-current reaction ${}^{12}{\rm C}(ν_μ,μ^{-})$ 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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Hungchong Kim, J. Piekarewicz, C. J. Horowitz. 1995-02-23. Relativistic treatment of the charged-current reaction ${}^{12}{\rm C}(ν_μ,μ^{-})$ near threshold. https://arxiv.org/abs/nucl-th/9502041

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