0{nu}{beta}{beta}decay nuclear matrix elements with selfconsistent shortrange correlations
Abstract
A selfconsistent calculation of nuclear matrix elements of the neutrinoless doublebeta 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 twonucleon shortrange correlations are for the first time derived from the same modern realistic nucleonnucleon potentials, namely, from the chargedependent Bonn potential (CDBonn) and the Argonne V18 potential. In a comparison with the traditional approach of using the MillerSpencer Jastrow correlations, matrix elements for the 0{nu}{beta}{beta} decay are obtained that are larger in magnitude. We analyze the differences among various twonucleon 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:
 Institute fuer Theoretische Physik der Universitaet Tuebingen, D72076 Tuebingen (Germany)
 (Russian Federation)
 (Slovakia)
 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; NUCLEONNUCLEON 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, RU141 980 Dubna, Moscow region, Department of Nuclear Physics, Comenius University, Mlynska dolina F1, SK842 15 Bratislava, Faessler, Amand, Muether, Herbert, Rodin, Vadim, and Stauf, Markus. 0{nu}{beta}{beta}decay nuclear matrix elements with selfconsistent shortrange correlations. United States: N. p., 2009.
Web. doi:10.1103/PHYSREVC.79.055501.
Simkovic, Fedor, Bogoliubov Laboratory of Theoretical Physics, JINR, RU141 980 Dubna, Moscow region, Department of Nuclear Physics, Comenius University, Mlynska dolina F1, SK842 15 Bratislava, Faessler, Amand, Muether, Herbert, Rodin, Vadim, & Stauf, Markus. 0{nu}{beta}{beta}decay nuclear matrix elements with selfconsistent shortrange correlations. United States. doi:10.1103/PHYSREVC.79.055501.
Simkovic, Fedor, Bogoliubov Laboratory of Theoretical Physics, JINR, RU141 980 Dubna, Moscow region, Department of Nuclear Physics, Comenius University, Mlynska dolina F1, SK842 15 Bratislava, Faessler, Amand, Muether, Herbert, Rodin, Vadim, and Stauf, Markus. 2009.
"0{nu}{beta}{beta}decay nuclear matrix elements with selfconsistent shortrange correlations". United States.
doi:10.1103/PHYSREVC.79.055501.
@article{osti_21293734,
title = {0{nu}{beta}{beta}decay nuclear matrix elements with selfconsistent shortrange correlations},
author = {Simkovic, Fedor and Bogoliubov Laboratory of Theoretical Physics, JINR, RU141 980 Dubna, Moscow region and Department of Nuclear Physics, Comenius University, Mlynska dolina F1, SK842 15 Bratislava and Faessler, Amand and Muether, Herbert and Rodin, Vadim and Stauf, Markus},
abstractNote = {A selfconsistent calculation of nuclear matrix elements of the neutrinoless doublebeta 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 twonucleon shortrange correlations are for the first time derived from the same modern realistic nucleonnucleon potentials, namely, from the chargedependent Bonn potential (CDBonn) and the Argonne V18 potential. In a comparison with the traditional approach of using the MillerSpencer Jastrow correlations, matrix elements for the 0{nu}{beta}{beta} decay are obtained that are larger in magnitude. We analyze the differences among various twonucleon 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 selfconsistent renormalized quasiparticle random phase approximation (SRQRPA). The residual interaction and the twonucleon shortrange correlations are derived from the chargedependent Bonn (CDBonn) potential. The importance of further progress in the calculation of the 0v{beta}{beta}decay nuclear matrix elements is stressed.

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Improved shortrange correlations and 0{nu}{beta}{beta} nuclear matrix elements of {sup 76}Ge and {sup 82}Se
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 twobody forces within the protonneutron quasiparticle randomphase approximation (pnQRPA). We include the effects that come from the finite size of a nucleon, from the higherorder terms of nucleonic weak currents, and from the nucleonnucleon shortrange correlations. Most importantly, we improve on the presently available calculations by replacing the rudimentary Jastrow shortrange correlations by the more advanced unitary correlation operator method (UCOM). The UCOMcorrected matrix elements turnmore »