Magnetic Hexadecapole Transitions and Neutrino-Nuclear Responses in Medium-Heavy Nuclei

Jouni Suhonen (Department of Physics, University of Jyvaskyla, P.O. Box 35, 40014 Jyvaskyla, Finland) ; Lotta Jokiniemi (Department of Physics, University of Jyvaskyla, P.O. Box 35, 40014 Jyvaskyla, Finland) ; Hiroyasu Ejiri (Research Center for Nuclear Physics, Osaka University, Osaka 567-0047, Japan)

Neutrino-nuclear responses in the form of squares of nuclear matrix elements, NMEs, are crucial for studies of neutrino-induced processes in nuclei. In this work we investigate magnetic hexadecapole (M4) NMEs in medium-heavy nuclei. The experimentally derived NMEs, MEXP(M4), deduced from observed M4 γ transition half-lives are compared with the single-quasiparticle (QP) NMEs, MQP(M4), and the microscopic quasiparticle-phonon model (MQPM) NMEs MMQPM(M4). The experimentally derived M4 NMEs are found to be reduced by a coefficient k0.29 with respect to MQP(M4) and by k0.33 with respect to MMQPM(M4). The M4 NMEs are reduced a little by the quasiparticle-phonon correlations of the MQPM wave functions but mainly by other nucleonic and nonnucleonic correlations which are not explicitly included in the MQPM. The found reduction rates are of the same order of magnitude as those for magnetic quadrupole γ transitions and Gamow-Teller (GT) and spin-dipole (SD) β transitions. The impacts of the found reduction coefficients on the magnitudes of the NMEs involved in astroneutrino interactions and neutrinoless double beta decays are discussed.

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    {
      "source": "Hindawi Publishing Corporation", 
      "value": "Neutrino-nuclear responses in the form of squares of nuclear matrix elements, NMEs, are crucial for studies of neutrino-induced processes in nuclei. In this work we investigate magnetic hexadecapole (M4) NMEs in medium-heavy nuclei. The experimentally derived NMEs, <math id=\"M2\"><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>E</mi><mi>X</mi><mi>P</mi></mrow></msub></mrow></math>(M4), deduced from observed M4 <math id=\"M3\"><mrow><mi>\u03b3</mi></mrow></math> transition half-lives are compared with the single-quasiparticle (QP) NMEs, <math id=\"M4\"><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>Q</mi><mi>P</mi></mrow></msub></mrow></math>(M4), and the microscopic quasiparticle-phonon model (MQPM) NMEs <math id=\"M5\"><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>M</mi><mi>Q</mi><mi>P</mi><mi>M</mi></mrow></msub></mrow></math>(M4). The experimentally derived M4 NMEs are found to be reduced by a coefficient <math id=\"M6\"><mi>k</mi><mo>\u2248</mo><mn>0.29</mn></math> with respect to <math id=\"M7\"><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>Q</mi><mi>P</mi></mrow></msub></mrow></math>(M4) and by <math id=\"M8\"><mi>k</mi><mo>\u2248</mo><mn>0.33</mn></math> with respect to <math id=\"M9\"><mrow><msub><mrow><mi>M</mi></mrow><mrow><mi>M</mi><mi>Q</mi><mi>P</mi><mi>M</mi></mrow></msub></mrow></math>(M4). The M4 NMEs are reduced a little by the quasiparticle-phonon correlations of the MQPM wave functions but mainly by other nucleonic and nonnucleonic correlations which are not explicitly included in the MQPM. The found reduction rates are of the same order of magnitude as those for magnetic quadrupole <math id=\"M10\"><mrow><mi>\u03b3</mi></mrow></math> transitions and Gamow-Teller (GT) and spin-dipole (SD) <math id=\"M11\"><mrow><mi>\u03b2</mi></mrow></math> transitions. The impacts of the found reduction coefficients on the magnitudes of the NMEs involved in astroneutrino interactions and neutrinoless double beta decays are discussed."
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Published on:
09 May 2016
Publisher:
Hindawi Publishing Corporation
Published in:
Advances in High Energy Physics (2016)

DOI:
https://doi.org/10.1155/2016/8417598
arXiv:
1604.04399
Copyrights:
Copyright © 2016 Lotta Jokiniemi et al.
Licence:
CC-BY-3.0

Fulltext files: