$0\nu\beta\beta$-decay nuclear matrix elements in self-consistent Skyrme quasiparticle random phase approximation: uncertainty from pairing interaction
Abstract
The uncertainty in the nuclear matrix elements (NMEs) of decay for Ge, Se, Te, Te, and Xe in the self-consistent quasiparticle random phase approximation (QRPA) method is investigated by using eighteen Skyrme interactions supplemented with either a volume- or surface-type of pairing interactions. The NMEs for the isotopes concerned (except Xe) are less sensitive to the particle-hole () interactions, while strongly dependent on the employed isovector particle-particle () pairing interactions even though the pairing strengths are optimized to the same pairing gap. The results indicate that a precise determination of the isovector pairing interaction in the Skyrme energy density functional is of importance to reduce the uncertainty in the NMEs within the QRPA framework.
Cite
@article{arxiv.2302.04423,
title = {$0\nu\beta\beta$-decay nuclear matrix elements in self-consistent Skyrme quasiparticle random phase approximation: uncertainty from pairing interaction},
author = {W. -L. Lv and Y. -F. Niu and D. -L. Fang and J. -M. Yao and C. -L. Bai and J. Meng},
journal= {arXiv preprint arXiv:2302.04423},
year = {2023}
}
Comments
7 pages, 5 figures