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Uncertainty in the 0νββ decay nuclear matrix elements

V. A. Rodin1, Amand Faessler1, F. Šimkovic2, and Petr Vogel1,3,4

  • 1Institute für Theoretische Physik der Universität Tübingen, D-72076 Tübingen, Germany
  • 2Department of Nuclear Physics, Comenius University, Bratislava, Slovakia
  • 3Department of Physics 106-38, California Institute of Technology, Pasadena, California 91125, USA
  • 4Institute of Particle and Nuclear Physics, Charles University, Prague, Czech Republic

Phys. Rev. C 68, 044302 – Published 8 October, 2003

DOI: https://doi.org/10.1103/PhysRevC.68.044302

Abstract

The nuclear matrix elements M0ν of the neutrinoless double-beta decay (0νββ) are evaluated for Ge76,Mo100,Te130, and Xe136 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 2νββ decay rate is correctly reproduced, the resulting M0ν 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 M0ν within these methods is eliminated.

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