Neutrino-12C scattering in the ab initio shell model with a realistic three-body interaction

Abstract

We investigate cross sections for neutrino-12C exclusive scattering and for muon capture on 12C using wave functions obtained in the ab initio no-core shell model. In our parameter-free calculations with basis spaces up to the 6 hbarOmega we show that realistic nucleon-nucleon interactions, like e.g. the CD-Bonn, under predict the experimental cross sections by more than a factor of two. By including a realistic three-body interaction, Tucson-Melbourne TM'(99), the cross sections are enhanced significantly and a much better agreement with experiment is achieved. At the same time,the TM'(99) interaction improves the calculated level ordering in 12C. The comparison between the CD-Bonn and the three-body calculations provides strong confirmation for the need to include a realistic three-body interaction to account for the spin-orbit strength in p-shell nuclei.

6 pages, 2 figures

References in corpus (10)

• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Realistic models of pion-exchange three-nucleon interactions
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Evolution of Nuclear Spectra with Nuclear Forces
• Reworking the Tucson-Melbourne Three-Nucleon Potential
• Few-nucleon systems in translationally invariant harmonic oscillator basis
• Weak reactions on 12C within the Continuum Random Phase Approximation with partial occupancies
• Measurements of Charged Current Reactions of ${\nu }_e$ on ${}^{12}C$
• Shell-model calculations of neutrino scattering from 12C
• Measurements of Charged Current Reactions of muon neutrinos on C12

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