Shell-model calculations of neutrino scattering from 12C

Abstract

Neutrino reaction cross-sections, $({\nu }_{\mu },{\mu }^{-})$, $({\nu }_e,e^{-})$, $\mu$-capture and photoabsorption rates on ${}^{12}$C are computed within a large-basis shell-model framework, which included excitations up to $4\hslash \omega$. When ground-state correlations are included with an open $p$-shell the predictions of the calculations are in reasonable agreement with most of the experimental results for these reactions. Woods-Saxon radial wave functions are used, with their asymptotic forms matched to the experimental separation energies for bound states, and matched to a binding energy of 0.01 MeV for unbound states. For comparison purposes, some results are given for harmonic oscillator radial functions. Closest agreement between theory and experiment is achieved with unrestricted shell-model configurations and Woods-Saxon radial functions. We obtain for the neutrino-absorption inclusive cross sections: $\bar{\sigma }=13.8\times 10^{-40}$ cm${}^2$ for the $({\nu }_{\mu },{\mu }^{-})$ decay-in-flight flux in agreement with the LSND datum of $(12.4\pm 1.8)\times 10^{-40}$ cm${}^2$; and $\bar{\sigma }=12.5\times 10^{-42}$ cm${}^2$ for the $({\nu }_e,e^{-})$ decay-at-rest flux, less than the experimental result of $(14.4\pm 1.2)\times 10^{-42}$ cm${}^2$.

19 pages. ReVTeX. No figures

References in corpus (3)

• Weak reactions on 12C within the Continuum Random Phase Approximation with partial occupancies
• Approximate Treatment of Lepton Distortion in Charged-Current Neutrino Scattering from Nuclei
• Inclusive Neutrino Scattering in C-12: Implications for nu_mu to nu_e Oscillations

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