Ground-state-to-ground-state neutrinoless double-beta ($0\nu \beta \beta$) decays in nuclei of current experimental interest are revisited. In order to improve the reliability of the nuclear matrix element (NME) calculations for the light Majorana-neutrino mode, the NMEs are calculated by exploiting the newly available data on isovector spin-dipole (IVSD) $J^{\pi }=2^{-}$ giant resonances. In order to correctly describe the IVSD up to and beyond the giant-resonance region, the present computations are performed in extended no-core single-particle model spaces using the spherical version of the proton-neutron quasiparticle random-phase approximation (pnQRPA) with two-nucleon interactions based on the Bonn one-boson-exchange $G$ matrix. The appropriate short-range correlations, nucleon form factors, higher-order nucleonic weak currents, and partial restoration of the isospin symmetry are included in the calculations. The results are compared with earlier calculations of Hyvärinen and Suhonen [Phys. Rev. C 91, 024613 (2015)] performed in much smaller single-particle bases without access to the IVSD $J^{\pi }=2^{-}$ giant-resonance data reported here.

• Received 12 April 2018
• Revised 26 June 2018

DOI:https://doi.org/10.1103/PhysRevC.98.024608