Anatomy of nuclear matrix elements for neutrinoless double-beta decay

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.

Version to appear in Phys. Rev. C

References in corpus (4)

• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Erratum: Assessment of uncertainties in QRPA $0\nu \beta \beta$-decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
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Cited by in corpus (2)

• Q value of the 100Mo Double-Beta Decay
• Overconstrained estimates of neutrinoless double beta decay within the QRPA