2013Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Addendum to: Quasiparticle random phase approximation uncertainties and their correlations in the analysis of 0νββ decay

Amand Faessler, G. L. Fogli, E. Lisi, Vadim Rodin, A. M. Rotunno, F. Šimkovic

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Abstract

In a previous article [A. Faessler et al., Phys. Rev. D 79, 053001 (2009)], we estimated the correlated uncertainties associated to the nuclear matrix elements of neutrinoless double beta decay ($0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$) within the quasiparticle random phase approximation. Such estimates encompass recent independent calculations of nuclear matrix elements and can thus still provide a fair representation of the nuclear model uncertainties. In this context, we compare the claim of $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ decay in $^{76}\mathrm{Ge}$ with recent negative results in $^{136}\mathrm{Xe}$ and in other nuclei, and we infer the lifetime ranges allowed or excluded at 90% C.L. We also highlight some issues that should be addressed in order to properly compare and combine results coming from different $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ candidate nuclei.

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In a previous article [A. Faessler et al., Phys. Rev. D 79, 053001 (2009)], we estimated the correlated uncertainties associated to the nuclear matrix elements of neutrinoless double beta decay ($0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$) within the quasiparticle random phase approximation. Such estimates encompass recent independent calculations of nuclear matrix elements and can thus still provide a fair representation of the nuclear model uncertainties. In this context, we compare the claim of $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ decay in $^{76}\mathrm{Ge}$ with recent negative results in $^{136}\mathrm{Xe}$ and in other nuclei, and we infer the lifetime ranges allowed or excluded at 90% C.L. We also highlight some issues that should be addressed in order to properly compare and combine results coming from different $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ candidate nuclei.

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Available abstract

In a previous article [A. Faessler et al., Phys. Rev. D 79, 053001 (2009)], we estimated the correlated uncertainties associated to the nuclear matrix elements of neutrinoless double beta decay ($0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$) within the quasiparticle random phase approximation. Such estimates encompass recent independent calculations of nuclear matrix elements and can thus still provide a fair representation of the nuclear model uncertainties. In this context, we compare the claim of $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ decay in $^{76}\mathrm{Ge}$ with recent negative results in $^{136}\mathrm{Xe}$ and in other nuclei, and we infer the lifetime ranges allowed or excluded at 90% C.L. We also highlight some issues that should be addressed in order to properly compare and combine results coming from different $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ candidate nuclei.

Key concepts: Quasiparticle, Random phase approximation, Physics, BETA (programming language), Context (archaeology), Double beta decay, Phase (matter), Random matrix

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