Non-collapsing renormalized QRPA with proton-neutron pairing for neutrinoless double beta decay

Abstract

Using the renormalized quasiparticle random phase approximation (RQRPA), we calculate the light neutrino mass mediated mode of neutrinoless double beta decay (0νββ-decay) of 76 Ge, 100 M o, 128 T e and 130 T e. Our results indicate that the simple quasiboson approximation is not good enough to study the 0νββ-decay, because its solutions collapse for physical values of g pp . We find that extension of the Hilbert space and inclusion of the Pauli Principle in the QRPA with proton-neutron pairing, allows us to extend our calculations beyond the point of collapse, for physical values of the nuclear force strength.

Status of Evidence for Neutrinoless Double Beta Decay, and the Future: Genius and Genius-Tf

“…It should be noted that the value obtained in Large Scale Shell Model Calculations [35] is understood to be too large by almost a factor of 2 because of the two small configuration space, (see, e.g. [37]), and that the second highest value given (from [36]), has now been reduced to 0.53 eV [42]. The recent studies by [40,41] yield an effective mass of (0.44 -0.52) eV.…”

Local density approximation for proton-neutron pairing correlations: Formalism

“…The pn correlations are also expected to play some role in single-beta decay [29][30][31], double-beta decay [32][33][34][35][36][37][38], transfer reactions [39][40][41][42][43][44][45] (see, however, Ref. [16]), structure of lowlying collective states [46], alpha decay and alpha correlations [45,[47][48][49][50][51][52], structure of high spin states [14,20,, and in properties of low-density nuclear matter [80][81][82][83][84][85][86][87][88][89][90].…”

Pions in nuclei and manifestations of supersymmetry in neutrinoless double beta decay

“…From the 0νββ-decay experiments [1] it was found m ν M ≤ O(1.1 eV) [2]. Recall that the Majorana neutrino mass term violates the lepton number ∆L = 2.…”