Fedor Simkovic, Amand Faessler, Vadim Rodin, Petr Vogel, Jonathan Engel
Published 2007-10-10, updated 2008-04-02Version 3
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.
Comments: Version to appear in Phys. Rev. C
Journal: Phys.Rev.C77:045503,2008
Relation between the $0νββ$ and $2νββ$ nuclear matrix elements revisited
$0νββ$ and $2νββ$ nuclear matrix elements in the interacting boson model with isospin restoration
A Statistical Analysis for the Neutrinoless Double-Beta Decay Matrix element of 48Ca
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