Nuclear matrix elements of neutrinoless double-β decay in the triaxial projected shell model

The nuclear matrix elements of neutrinoless double-beta decay for nuclei Ge-76, Se-82, Mo-100, Te-130, and Nd-150 are studied within the triaxial projected shell model, which incorporates simultaneously the triaxial deformation and quasiparticle configuration mixing. The low-lying spectra, the B(E2 : 0(+) -> 2(+)) values, and the occupancies of single-particle orbits are reproduced well. The effects of the quasiparticles configuration mixing, the triaxial deformation, and the closure approximation on the nuclear matrix elements are studied in detail. For nuclei Ge-76, Se-82, Mo-100, Te-130, and Nd-150, the nuclear matrix elements are respectively reduced by the quasiparticle configuration mixing by 6%, 7%, 2%, 3%, and 4%, and enhanced by calculating explicitly the transitions through odd-odd intermediate states by 7%, 4%, 11%, 20%, and 14%. Varying the triaxial deformation. from 0 degrees to 60 degrees for the mother and daughter nuclei, the nuclear matrix elements change by 41%, 17%, 68%, 14%, and 511%, respectively, for Ge-76, Se-82, Mo-100, Te-130, and Nd-150, which indicates the importance of treating the triaxial deformation consistently in calculating the nuclear matrix elements.

Automated summary

The study investigates the nuclear matrix elements of neutrinoless double-beta decay for nuclei Ge-76, Se-82, Mo-100, Te-130, and Nd-150, incorporating triaxial deformation and quasiparticle configuration mixing. It shows that the effects of quasiparticle configuration mixing and transitions through odd-odd intermediate states have significant impacts on the nuclear matrix elements, while the variation in triaxial deformation also plays a crucial role in determining the matrix elements.