Assessment of uncertainties in QRPA $0νββ$-decay nuclear matrix elements

By V. Rodin, A. Faessler, Fedor Simkovic, P. Vogel. 2006

225 citations recorded by the source corpus.

Abstract The nuclear matrix elements M 0 ν of the neutrinoless double beta decay ( 0 ν β β ) of most nuclei with known 2 ν β β -decay rates are systematically evaluated using the quasiparticle random phase approximation (QRPA) and renormalized QRPA (RQRPA). The experimental 2 ν β β -decay rate is used to adjust the most relevant parameter, the strength of the particle–particle interaction. New results confirm that with such procedure the M 0 ν values become essentially independent on the size of the single-particle basis. Furthermore, the matrix elements are shown to be also rather stable with respect to the possible quenching of the axial vector strength parametrized by reducing the coupling constant g A , as well as to the uncertainties of parameters describing the short range nucleon correlations. Theoretical arguments in favor of the adopted way of determining the interaction parameters are presented. Furthermore, a discussion of other implicit and explicit parameters, inherent to the QRPA method, is presented. Comparison is made of the ways these factors are chosen by different authors. It is suggested that most of the spread among the published 0 ν β β decay nuclear matrix elements can be ascribed to these choices.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/30e656a44bd150cba768e09214456c93a7ed6489

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In Nuclear and High Energy Physics

1. A. Marrone
2. E. Lisi
3. A. Palazzo
4. A. M. Rotunno
5. G. Fogli
6. A. Melchiorri
7. M. Viel
8. J. Lopez-Pavon

Citations in the corpus

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass (2007, methodology): “Here, we merely note that recent papers Rodin et al. (2003, 2006), addressing issue 2) above, argue that if the strength of the pairing interaction is adjusted to fit experimental mass differences and (especially) if gpp is then adjusted to reproduce measured ββ(2ν) rates, then almost all QRPA-like…”
• Neutrinoless double beta decay in seesaw models (2010, background): “It is currently under discussion whether the axial coupling should be quenched or not [65, 70, 71].”
• Neutrinoless Double Beta Decay: 2015 Review (2016, background): “269measured in the weak interactions and decays of nucleons is “renormalized” in the nuclear medium towards the value appropriate for quarks [172, 173, 175].”
• Observables sensitive to absolute neutrino masses. II (2008, background): “From a theoretical viewpoint, the 0ν2β nuclear matrix elements (NME) Cmm and uncertainties estimated via Quasiparticle Random Phase Approximations (QRPA) in [29] (as used in [1]) have been recently revised [30, 31],”