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arxiv: 0710.2055 · v3 · submitted 2007-10-10 · ⚛️ nucl-th

Anatomy of nuclear matrix elements for neutrinoless double-beta decay

classification ⚛️ nucl-th
keywords matrixdecaydouble-betaelementelementsneutrinolessphysicsqrpa
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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.

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    Ab initio IM-NCCI calculations on 48Ca establish strong linear correlations between 0νββ and 2νββ NMEs across 34 chiral Hamiltonians, yielding a constrained M^{0ν} prediction of 1.30-1.65 after incorporating experimen...