We report a systematic study of nuclear matrix elements (NMEs) in neutrinoless double-beta 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 Nd-150 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.
Tohoku University Focused Research Project "Understanding the Origins for Matters in Universe"
; NSFC [11175002, 11105111, 11335002, 11305134]
; Fundamental Research Fund for the Central Universities [XDJK2013C028]
; Overseas Distinguished Professor Project from Ministry of Education [MS2010BJDX001]
; DFG Cluster of Excellence "Origin and Structure of the Universe"
; Major State 973 Program [2013CB834400]
Yao, JM,Song, LS,Hagino, K,et al. Systematic study of nuclear matrix elements in neutrinoless double-beta decay with a beyond-mean-field covariant density functional theory[J]. PHYSICAL REVIEW C,2015,91(2):24316.