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

A. C. Hayes·P. Navratil·J. P. Vary
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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.

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A. C. Hayes, P. Navratil, J. P. Vary. 2003-05-25. Neutrino-12C scattering in the ab initio shell model with a realistic three-body interaction. https://doi.org/10.1103/physrevlett.91.012502

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