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arXiv · 2302.04423

$0\nu\beta\beta$-decay nuclear matrix elements in self-consistent Skyrme quasiparticle random phase approximation: uncertainty from pairing interaction

W. -L. Lv·Y. -F. Niu·D. -L. Fang·J. -M. Yao·C. -L. Bai·J. Meng
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Abstract

The uncertainty in the nuclear matrix elements (NMEs) of $0\nu\beta\beta$ decay for $^{76}$Ge, $^{82}$Se, $^{128}$Te, $^{130}$Te, and $^{136}$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 $^{136}$Xe) are less sensitive to the particle-hole ($ph$) interactions, while strongly dependent on the employed isovector particle-particle ($pp$) pairing interactions even though the pairing strengths are optimized to the same pairing gap. The results indicate that a precise determination of the isovector $pp$ pairing interaction in the Skyrme energy density functional is of importance to reduce the uncertainty in the NMEs within the QRPA framework.

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W. -L. Lv, Y. -F. Niu, D. -L. Fang, J. -M. Yao, C. -L. Bai, J. Meng. 2023-02-09. $0\nu\beta\beta$-decay nuclear matrix elements in self-consistent Skyrme quasiparticle random phase approximation: uncertainty from pairing interaction. https://arxiv.org/abs/2302.04423

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