Anatomy of the 0νββ nuclear matrix elements

Creators: Šimkovic, F.; Faessler, Amand; Rodin, Vadim; Vogel, Petr; Engel, Jonathan

Abstract

We show that, within the quasiparticle random phase approximation (QRPA) and the renormalized QRPA (RQRPA) based on the Bonn-CD nucleon-nucleon interaction, the competition between the pairing and the neutron-proton particle-particle and particle-hole interactions causes contributions to the neutrinoless double-beta decay matrix element to nearly vanish at internucleon distances of more than 2 or 3 fermis. As a result, the matrix element is more sensitive to short-range/high-momentum physics than one naively expects. We analyze various ways of treating that physics and quantify the uncertainty it produces in the matrix elements, with three different treatments of short-range correlations.

Additional Information

©2008 The American Physical Society. (Received 9 October 2007; published 16 April 2008) F.Š., V.R., and A.F. acknowledge the support of the EU ILIAS project under contract no. RII3-CT-2004-506222, the Transregio Project TR27 "Neutrinos and Beyond", the Deutsche Forschungsgemeinschaft (436 SLK 17/298) and, in addition, F.Š. was supported by the VEGA Grant agency of the Slovak Republic under Contract No. 1/0249/03. The work of J.E. was partially supported by the U.S. Department of Energy under Contract No. DE-FG02-97ER41019. Two of us (P.V. and J.E.) thank the INT at the University of Washington for the hospitality during the initial stage of this work and the US Department of Energy for partial support.

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