Systematic study of nuclear matrix elements in neutrinoless double-$\ensuremath{\beta}$ decay with a beyond-mean-field covariant density functional theory

Systematic study of nuclear matrix elements in neutrinoless double- $β$ decay with a beyond-mean-field covariant density functional theory

J. M. Yao, L. S. Song, K. Hagino, P. Ring, and J. Meng

Phys. Rev. C 91, 024316 – Published 18 February 2015

Abstract

We report a systematic study of nuclear matrix elements (NMEs) in neutrinoless double- $β$ decays with a state-of-the-art beyond-mean-field covariant density functional theory. The dynamic effects of particle-number and angular-momentum conservations as well as quadrupole shape fluctuations are taken into account with projections and generator coordinate method for both initial and final nuclei. The full relativistic transition operator is adopted to calculate the NMEs. The present systematic studies show that in most of the cases there is a much better agreement with the previous nonrelativistic calculation based on the Gogny force than in the case of the nucleus ${}^{150}{Nd}$ found by Song et al. [Phys. Rev. C 90, 054309 (2014)]. In particular, we find that the total NMEs can be well approximated by the pure axial-vector coupling term with a considerable reduction of the computational effort.

Received 2 December 2014
Revised 25 January 2015

DOI:https://doi.org/10.1103/PhysRevC.91.024316

Authors & Affiliations

J. M. Yao^1,2,3, L. S. Song⁴, K. Hagino¹, P. Ring^5,4,3, and J. Meng^4,6,7

¹Department of Physics, Tohoku University, Sendai 980-8578, Japan
²School of Physical Science and Technology, Southwest University, Chongqing 400715, China
³Kavli Institute for Theoretical Physics China, Chinese Academy of Sciences, Beijing 100190, China
⁴State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
⁵Physik Department, Technische Universität München, D-85747 Garching, Germany
⁶School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China
⁷Department of Physics, University of Stellenbosch, Stellenbosch 7602, South Africa

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Vol. 91, Iss. 2 — February 2015

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Physical Review C

covering nuclear physics

Systematic study of nuclear matrix elements in neutrinoless double- $β$ decay with a beyond-mean-field covariant density functional theory

J. M. Yao, L. S. Song, K. Hagino, P. Ring, and J. Meng

Phys. Rev. C 91, 024316 – Published 18 February 2015

Abstract

Authors & Affiliations

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Physical Review C

covering nuclear physics

Systematic study of nuclear matrix elements in neutrinoless double-β decay with a beyond-mean-field covariant density functional theory

J. M. Yao, L. S. Song, K. Hagino, P. Ring, and J. Meng

Phys. Rev. C 91, 024316 – Published 18 February 2015

Abstract

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Systematic study of nuclear matrix elements in neutrinoless double- $β$ decay with a beyond-mean-field covariant density functional theory