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Abstract
Spin-dipole (SD) nuclear matrix elements (NMEs) M±(SD2) for unique first forbidden β±2−→0+ ground-state-to-ground-state transitions are studied by using effective microscopic two-nucleon interactions in realistic single-particle model spaces. The observed values of the NMEs Mexp±(SD2) are compared with the values of the single-quasiparticle NMEs Mqp±(SD2) without nucleon spin–isospin (στ) correlation and the QRPA NMEs MQRPA±(SD2) with the στ correlation. The observed SD matrix elements are found to be reduced by the factor k≈0.2 with respect to Mqp±(SD2) and by the factor kNM≈0.5 with respect to MQRPA±(SD2). We then infer that the SD NME is reduced considerably partly by the nucleon στ correlations and partly by other non-nucleonic and nucleonic correlations which are not explicitly included in the QRPA. Impact of the found reduction factors on the magnitudes of the NMEs involved in neutrino-less double beta decays and astro-neutrino interactions are discussed.
Highlights
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Impact of the found reduction factors on the magnitudes of the nuclear matrix elements (NMEs) involved in neutrino-less double beta decays and astro-neutrino interactions are discussed
The associated nuclear matrix elements (NMEs) are crucial to extract quantitative neutrino properties that are of interest to particle and astrophysics, as discussed in reviews [1,2,3,4,5,6] and refs. therein
Summary
Suhonen c a Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka, 567-0047, Japan b Nuclear Science, Czech Technical University, Prague, Czech Republic c Department of Physics, P.O. Box 35 (YFL), FI-40014 University of Jyväskylä, Finland article info. Article history: Received 25 October 2013 Received in revised form 13 December 2013 Accepted 18 December 2013 Available online 27 December 2013 Editor: W. Spin-dipole (SD) nuclear matrix elements (NMEs) M±(SD2) for unique first forbidden β± 2− →. 0+ ground-state-to-ground-state transitions are studied by using effective microscopic two-nucleon interactions in realistic single-particle model spaces. The observed values of the NMEs Me±xp(SD2) are compared with the values of the single-quasiparticle NMEs Mq±p(SD2) without nucleon spin–isospin (σ τ ). The observed SD matrix elements are found to be reduced by the factor k
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