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Published October 2003 | public
Journal Article Open

Uncertainty in the 0νββ decay nuclear matrix elements

Abstract

The nuclear matrix elements M0nu of the neutrinoless double-beta decay (0nubetabeta) are evaluated for 76Ge,100Mo,130Te, and 136Xe 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 2nubetabeta decay rate is correctly reproduced, the resulting M0nu 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 M0nu within these methods is eliminated.

Additional Information

©2003 The American Physical Society (Received 5 May 2003; published 8 October 2003) We would like to thank Dr. H. Muether, Dr. A. Polls, and Dr. P. Czerski for providing us with the Brueckner reaction matrix elements used in the present work. V.A.R. was financed by the Landesforschungsschwerpunktsprogramm Baden-Wuerttemberg "Low Energy Neutrino Physics." The work of F.Š. was supported in part by the Deutsche Forschungsgemeinschaft (Grant No. 436 SLK 17/298) and by the VEGA Grant agency of the Slovac Republic under Contract No. 1/0249/03. The work of P.V. was supported in part by the "Internationales Graduiertenkolleg" GRK683/2 of the Deutsche Forschungsgemeinschaft and by the Center for Particle Physics, Project No. LN00A 006 of the Ministry of Education of the Czech Republic.

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Created:
August 22, 2023
Modified:
October 16, 2023