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Title: 0{nu}{beta}{beta}-decay nuclear matrix elements with self-consistent short-range correlations

Abstract

A self-consistent calculation of nuclear matrix elements of the neutrinoless double-beta decays (0{nu}{beta}{beta}) of {sup 76}Ge, {sup 82}Se, {sup 96}Zr, {sup 100}Mo, {sup 116}Cd, {sup 128}Te, {sup 130}Te, and {sup 136}Xe is presented in the framework of the renormalized quasiparticle random phase approximation (RQRPA) and the standard QRPA. The pairing and residual interactions as well as the two-nucleon short-range correlations are for the first time derived from the same modern realistic nucleon-nucleon potentials, namely, from the charge-dependent Bonn potential (CD-Bonn) and the Argonne V18 potential. In a comparison with the traditional approach of using the Miller-Spencer Jastrow correlations, matrix elements for the 0{nu}{beta}{beta} decay are obtained that are larger in magnitude. We analyze the differences among various two-nucleon correlations including those of the unitary correlation operator method (UCOM) and quantify the uncertainties in the calculated 0{nu}{beta}{beta}-decay matrix elements.

Authors:
 [1];  [2];  [3]; ; ;  [1];  [4]
  1. Institute fuer Theoretische Physik der Universitaet Tuebingen, D-72076 Tuebingen (Germany)
  2. (Russian Federation)
  3. (Slovakia)
  4. School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL (United Kingdom)
Publication Date:
OSTI Identifier:
21293734
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 79; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.79.055501; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CADMIUM 116; COMPARATIVE EVALUATIONS; CORRELATIONS; DOUBLE BETA DECAY; GERMANIUM 76; MATRIX ELEMENTS; MOLYBDENUM 100; NUCLEAR MATRIX; NUCLEON-NUCLEON POTENTIAL; NUCLEONS; RANDOM PHASE APPROXIMATION; RESIDUAL INTERACTIONS; SELENIUM 82; TELLURIUM 128; TELLURIUM 130; XENON 136; ZIRCONIUM 96

Citation Formats

Simkovic, Fedor, Bogoliubov Laboratory of Theoretical Physics, JINR, RU-141 980 Dubna, Moscow region, Department of Nuclear Physics, Comenius University, Mlynska dolina F1, SK-842 15 Bratislava, Faessler, Amand, Muether, Herbert, Rodin, Vadim, and Stauf, Markus. 0{nu}{beta}{beta}-decay nuclear matrix elements with self-consistent short-range correlations. United States: N. p., 2009. Web. doi:10.1103/PHYSREVC.79.055501.
Simkovic, Fedor, Bogoliubov Laboratory of Theoretical Physics, JINR, RU-141 980 Dubna, Moscow region, Department of Nuclear Physics, Comenius University, Mlynska dolina F1, SK-842 15 Bratislava, Faessler, Amand, Muether, Herbert, Rodin, Vadim, & Stauf, Markus. 0{nu}{beta}{beta}-decay nuclear matrix elements with self-consistent short-range correlations. United States. doi:10.1103/PHYSREVC.79.055501.
Simkovic, Fedor, Bogoliubov Laboratory of Theoretical Physics, JINR, RU-141 980 Dubna, Moscow region, Department of Nuclear Physics, Comenius University, Mlynska dolina F1, SK-842 15 Bratislava, Faessler, Amand, Muether, Herbert, Rodin, Vadim, and Stauf, Markus. 2009. "0{nu}{beta}{beta}-decay nuclear matrix elements with self-consistent short-range correlations". United States. doi:10.1103/PHYSREVC.79.055501.
@article{osti_21293734,
title = {0{nu}{beta}{beta}-decay nuclear matrix elements with self-consistent short-range correlations},
author = {Simkovic, Fedor and Bogoliubov Laboratory of Theoretical Physics, JINR, RU-141 980 Dubna, Moscow region and Department of Nuclear Physics, Comenius University, Mlynska dolina F1, SK-842 15 Bratislava and Faessler, Amand and Muether, Herbert and Rodin, Vadim and Stauf, Markus},
abstractNote = {A self-consistent calculation of nuclear matrix elements of the neutrinoless double-beta decays (0{nu}{beta}{beta}) of {sup 76}Ge, {sup 82}Se, {sup 96}Zr, {sup 100}Mo, {sup 116}Cd, {sup 128}Te, {sup 130}Te, and {sup 136}Xe is presented in the framework of the renormalized quasiparticle random phase approximation (RQRPA) and the standard QRPA. The pairing and residual interactions as well as the two-nucleon short-range correlations are for the first time derived from the same modern realistic nucleon-nucleon potentials, namely, from the charge-dependent Bonn potential (CD-Bonn) and the Argonne V18 potential. In a comparison with the traditional approach of using the Miller-Spencer Jastrow correlations, matrix elements for the 0{nu}{beta}{beta} decay are obtained that are larger in magnitude. We analyze the differences among various two-nucleon correlations including those of the unitary correlation operator method (UCOM) and quantify the uncertainties in the calculated 0{nu}{beta}{beta}-decay matrix elements.},
doi = {10.1103/PHYSREVC.79.055501},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 79,
place = {United States},
year = 2009,
month = 5
}
  • The nuclear matrix elements M{sup 0v} of the neutrinoless double beta decay (0v{beta}{beta}-decay) are systematically evaluated using the self-consistent renormalized quasiparticle random phase approximation (SRQRPA). The residual interaction and the two-nucleon short-range correlations are derived from the charge-dependent Bonn (CD-Bonn) potential. The importance of further progress in the calculation of the 0v{beta}{beta}-decay nuclear matrix elements is stressed.
  • Nuclear matrix elements for the neutrinoless double beta minus (0{nu}{beta}{sup -}{beta}{sup -}) decays of all interesting (nearly) spherical nuclei are calculated for the light-neutrino exchange mechanism by using the proton-neutron quasiparticle random-phase approximation (pnQRPA) with a realistic nucleon-nucleon force. The finite size of a nucleon, the higher-order terms of nucleonic weak currents, and the nucleon-nucleon short-range correlations (s.r.c) are taken into account. The s.r.c. are computed by the use of the unitary correlation operator method (UCOM), superior to the traditional Jastrow method. The UCOM computed matrix elements turn out to be considerably larger than the Jastrow computed ones.
  • Nuclear matrix elements of the neutrinoless double beta (0{nu}{beta}{beta}) decays of {sup 96}Zr, {sup 100}Mo, {sup 116}Cd, {sup 128}Te, {sup 130}Te, and {sup 136}Xe are calculated for the light-neutrino exchange mechanism by using the proton-neutron quasiparticle random-phase approximation (pnQRPA) with a realistic nucleon-nucleon force. The particle-particle strength parameter g{sub pp} of the pnQRPA is fixed by the data on the two-neutrino double {beta} and single {beta} decays. The finite size of a nucleon, the higher-order terms of nucleonic weak currents, and the nucleon-nucleon short-range correlations (s.r.c) are taken into account. The s.r.c. are computed by the traditional Jastrow method andmore » by the more advanced unitary correlation operator method (UCOM). A comparison of the results obtained by the two methods reveals that the UCOM computed matrix elements are considerably larger than the Jastrow computed ones. This result is important to the assessment of the neutrino-mass sensitivity of present and future double {beta} experiments.« less
  • Employing four different parametrization of the pairing plus multipolar type of effective two-body interaction and three different parametrizations of Jastrow-type of short range correlations, the uncertainties in the nuclear transition matrix elements due to the exchange of light as well as heavy Majorana neutrino for the 0{sup +}{yields}0{sup +} transition of neutrinoless positron {beta}{beta} decay are estimated in the PHFB model.
  • We calculate the nuclear matrix elements of the neutrinoless double beta (0{nu}{beta}{beta}) decays of {sup 76}Ge and {sup 82}Se for the light neutrino exchange mechanism. The nuclear wave functions are obtained by using realistic two-body forces within the proton-neutron quasiparticle random-phase approximation (pnQRPA). We include the effects that come from the finite size of a nucleon, from the higher-order terms of nucleonic weak currents, and from the nucleon-nucleon short-range correlations. Most importantly, we improve on the presently available calculations by replacing the rudimentary Jastrow short-range correlations by the more advanced unitary correlation operator method (UCOM). The UCOM-corrected matrix elements turnmore » out to be notably larger in magnitude than the Jastrow-corrected ones. This has drastic consequences for the detectability of 0{nu}{beta}{beta} decay in present and future double beta experiments.« less