Köln 2004 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 40: Theory VI

HK 40.5: Talk

Thursday, March 11, 2004, 15:00–15:15, D

Uncertainty in the 0νββ decay nuclear matrix elements — •Vadim Rodin¹, Amand Faessler¹, Fedor Šimkovic^1,2, and Petr Vogel³ — ¹Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany — ²Department of Nuclear Physics, Comenius University, Mlynská dolina F1, Bratislava, Slovakia — ³Department of Physics 106-38, California Institute of Technology, Pasadena, CA 91125, USA

The discovery of oscillations of atmospheric, solar and reactor neutrinos has shown that neutrinos have a non-vanishing rest-mass. However, only study of the neutrinoless double beta decay (0νββ) can provide crucial information on the Majorana nature of the neutrinos and on their absolute mass scale [1].

Nuclear matrix elements M^0ν of the neutrinoless double beta decay (0νββ) have been evaluated in [2] for several nuclei within the Renormalized Quasiparticle Random Phase Approximation (RQRPA) and the simple QRPA. Three sets of single particle level schemes have been used. When the strength of the particle-particle interaction is adjusted so that the 2νββ decay rate is correctly reproduced, the resulting M^0ν 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^0ν within these methods is eliminated. In our talk we give a summary of the calculation results.

[1] A. Faessler and F. Šimkovic, J. Phys. G 24 (1998) 2139

[2] V. A. Rodin, A. Faessler, F. Simkovic and P. Vogel, Phys. Rev. C 68 (2003) 044302