On the uncertainty in the $0\nu \beta \beta$ decay nuclear matrix elements

Abstract

The nuclear matrix elements $M^{0\nu }$ of the neutrinoless double beta decay ($0\nu \beta \beta$) are evaluated for ${}^{76}$Ge,${}^{100}$Mo, ${}^{130}$Te, and ${}^{136}$Xe within the Renormalized Quasiparticle Random Phase Approximation (RQRPA) and the simple QRPA. Three sets of single particle level schemes are used, ranging in size from 9 to 23 orbits. When the strength of the particle-particle interaction is adjusted so that the $2\nu \beta \beta$ decay rate is correctly reproduced, the resulting $M^{0\nu }$ values become essentially independent on the size of the basis, and on the form of different realistic nucleon-nucleon potentials. Thus, one of the main reasons for variability of the calculated $M^{0\nu }$ within these methods is eliminated.

5 pages, 2 figures

References in corpus (4)

• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Double Beta Decay
• Nuclear matrix elements of double beta decay from beta decay
• What can we learn from neutrinoless double beta decay experiments?

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