Uncertainty in the0νββdecay nuclear matrix elements
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Abstract
The nuclear matrix elements ${M}^{0\ensuremath{\nu}}$ of the neutrinoless double-beta decay $(0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta})$ are evaluated for $^{76}\mathrm{Ge},^{100}\mathrm{Mo},^{130}\mathrm{Te},$ and $^{136}\mathrm{Xe}$ 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 $2\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ decay rate is correctly reproduced, the resulting ${M}^{0\ensuremath{\nu}}$ values become essentially independent of the size of the basis, and of the form of different realistic nucleon-nucleon potentials. Thus, one of the main reasons for variability of the calculated ${M}^{0\ensuremath{\nu}}$ within these methods is eliminated.
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