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0νββ and 2νββ nuclear matrix elements, quasiparticle random-phase approximation, and isospin symmetry restoration

Šimkovic, Fedor and Rodin, Vadim and Faessler, Amand and Vogel, Petr (2013) 0νββ and 2νββ nuclear matrix elements, quasiparticle random-phase approximation, and isospin symmetry restoration. Physical Review C, 87 (4). Art. No. 045501. ISSN 0556-2813. https://resolver.caltech.edu/CaltechAUTHORS:20130510-105403153

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Abstract

Within the quasiparticle random-phase approximation (QRPA) we achieve partial restoration of the isospin symmetry and hence fulfillment of the requirement that the 2νββ Fermi matrix element M^(2ν)_F vanishes, as it should, unlike in the previous version of the method. This is accomplished by separating the renormalization parameter g_pp of the particle-particle proton-neutron interaction into isovector and isoscalar parts. The isovector parameter g^(T=1)_(pp) needs to be chosen to be essentially equal to the pairing constant g_pair, so no new parameter is needed. For the 0νββ decay the Fermi matrix element M^(0ν)_F is substantially reduced, while the full matrix element M^(0ν) is reduced by ≈10%. We argue that this more consistent approach should be used from now on in the proton-neutron QRPA and in analogous methods


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevC.87.045501DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevC.87.045501PublisherUNSPECIFIED
ORCID:
AuthorORCID
Vogel, Petr0000-0003-0587-5466
Additional Information:© 2013 American Physical Society. Received 8 February 2013; published 5 April 2013. Useful discussions with Kazuo Muto are appreciated. The work of P.V. was partially supported by US Department of Energy Grant No. DE-FG02-92ER40701. F. Š. acknowledges support by the VEGA Grant Agency of the Slovak Republic under Contract No. 1/0876/12 and by the Ministry of Education, Youth and Sports of the Czech Republic under Contract No. LM2011027. F. Š. and A. F. thank the Deutsche Forschungsgemeinschaft for support under Contract No. 436SLK113/14/0-1.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
Slovak Republic VEGA Grant Agency1/0876/12
Ministry of Education, Youth and Sports of the Czech RepublicLM2011027
Deutsche Forschungsgemeinschaft436SLK113/14/0-1
Issue or Number:4
Classification Code:PACS: 21.60.-n, 23.40.Hc
Record Number:CaltechAUTHORS:20130510-105403153
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130510-105403153
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38420
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:13 May 2013 19:14
Last Modified:03 Mar 2020 13:01

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