Microscopic theories of neutrino-12C reactions

C. Volpe, N. Auerbach, G. Colò, T. Suzuki, and N. Van Giai
Phys. Rev. C 62, 015501 – Published 31 May 2000
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Abstract

In view of the recent experiments on neutrino oscillations performed by the LSND and KARMEN Collaborations as well as future experiments, we present new theoretical results of the flux-averaged 12C(νe,e)12N and 12C(νμ,μ)12N cross sections. The approaches used are charge-exchange random-phase approximation (RPA), charge-exchange RPA among quasiparticles (QRPA), and the shell model. With a large-scale shell-model calculation the exclusive cross sections are in nice agreement with the experimental values for both reactions. The inclusive cross section for νμ coming from the decay-in-flight of π+ is 15.2×1040cm2 (when Hartree-Fock wave functions are used), to be compared to the experimental value of 12.4±0.3±1.8×1040cm2, while the one due to νe coming from the decay-at-rest of μ+ is 16.4×1042cm2 which agrees within experimental error bars with the measured values. The shell-model prediction for the decay-in-flight neutrino cross section is reduced compared to the RPA one, namely 19.2×1040cm2. This is mainly due to the different kind of correlations taken into account in the calculation of the spin modes (in particular, because of the quenching in the 1+ channel) and partially due to the shell-model configuration basis which is not large enough, as we show using arguments based on sum rules. Results for exclusive and inclusive muon capture rates and β decay are given and are close to the experimental findings.

  • Received 27 January 2000

DOI:https://doi.org/10.1103/PhysRevC.62.015501

©2000 American Physical Society

Authors & Affiliations

C. Volpe1, N. Auerbach2, G. Colò3, T. Suzuki4, and N. Van Giai1

  • 1Groupe de Physique Théorique, Institut de Physique Nucléaire, F-91406 Orsay Cedex, France
  • 2School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
  • 3Dipartimento di Fisica, Università degli Studi, via Celoria 16, I-20133 Milano, Italy
  • 4Department of Physics, College of Humanities and Science, Nihon University, Sakurajosui 3-25-40, Setagaya-ku, Tokyo 156, Japan

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Vol. 62, Iss. 1 — July 2000

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