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.
https://resolver.caltech.edu/CaltechAUTHORS:20190102-092233198

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## Abstract

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.

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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. | ||||||||||||

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Issue or Number: | 6 | ||||||||||||

Record Number: | CaltechAUTHORS:20190102-092233198 | ||||||||||||

Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190102-092233198 | ||||||||||||

Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||

ID Code: | 91970 | ||||||||||||

Collection: | CaltechAUTHORS | ||||||||||||

Deposited By: | George Porter | ||||||||||||

Deposited On: | 03 Jan 2019 16:05 | ||||||||||||

Last Modified: | 03 Mar 2020 13:01 |

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