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0νββ and 2νββ nuclear matrix elements evaluated in closure approximation, neutrino potentials and SU(4) symmetry

Šimkovic, Fedor and Smetana, Adam and Vogel, Petr (2018) 0νββ and 2νββ nuclear matrix elements evaluated in closure approximation, neutrino potentials and SU(4) symmetry. Physical Review C, 98 (6). Art. No. 064325. ISSN 2469-9985. doi:10.1103/physrevc.98.064325.

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The intimate relation between the Gamow-Teller part of the matrix element M^(0ν)_(GT) and the 2νββ closure matrix element M^(2ν)_(cl) is explained and explored. If the corresponding radial dependence C^(2ν)_(cl)(r) would be known, M^(0ν) corresponding to any mechanism responsible for the 0νββ decay can be obtained as a simple integral. However, the M^(2ν)_(cl) values, and therefore also the functions C^(2ν)_(cl)(r), sensitively depend not only on the properties of the first few 1^+ states but also of higher-lying 1^+ states in the intermediate odd-odd nuclei. We show that the β^− and β^+ amplitudes of such states typically have opposite relative signs, and their contributions reduce severally the M^(2ν)_(cl) values. We suggest that demanding that M^(2ν)_(cl) = 0 is a sensible alternative way, within the QRPA method, of determining the amount of renormalization of isoscalar particle-particle interaction strength g^(T=0)_(pp). Using such prescription, the matrix elements M^(0ν) are evaluated; their values are not very different (≤ 20%) from the usual QRPA values when g^(T=0)_(pp) is related to the known 2νββ half-lives. We note that vanishing values of M^(2ν)_(cl) are signs of a partial restoration of the spin-isospin SU(4) symmetry.

Item Type:Article
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Vogel, Petr0000-0003-0587-5466
Additional Information:© 2018 American Physical Society. (Received 23 August 2018; revised manuscript received 30 October 2018; published 27 December 2018) This work was supported by the VEGA Grant Agency of the Slovak Republic under Contract No. 1/0922/16, by Slovak Research and Development Agency under Contract No. APVV-14-0524, RFBR Grant No. 16-02-01104, Underground laboratory LSM - Czech participation to European-level research infrastructure CZ.02.1.01/0.0/0.0/16 013/0001733. The work of P.V. is supported by the Physics Department, California Institute of Technology.
Funding AgencyGrant Number
VEGA (Slovak Republic)1/0922/16
Slovak Research and Development AgencyAPVV-14-0524
Russian Foundation for Basic Research16-02-01104
Czech RepublicCZ.02.1.01/0.0/0.0/16 013/0001733
Caltech Division of Physics, Mathematics and AstronomyUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20190102-092233198
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91970
Deposited By: George Porter
Deposited On:03 Jan 2019 16:05
Last Modified:16 Nov 2021 03:45

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