The uncertainty in the nuclear matrix elements (NMEs) of $0\nu \beta \beta$ decay for ${}^{76}\mathrm{Ge}$, ${}^{82}\mathrm{Se}$, ${}^{128}\mathrm{Te}$, ${}^{130}\mathrm{Te}$, and ${}^{136}\mathrm{Xe}$ 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 ${}^{136}\mathrm{Xe}$) are less sensitive to the particle-hole (ph) interactions, while they are 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.

Close

PrevNext

View figure in article

• Neutrinoless double beta decay
• Nuclear density functional theory
• Nuclear forces
• 59 ≤ A ≤ 89
• 90 ≤ A ≤ 149