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In the framework of the see-saw mechanism the normal hierarchy is favorable for the neutrino mass spectrum. For this spectrum we present a detailed calculation of the half-lives of neutrinoless double beta decay for several nuclei of…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. M. Bilenky , A. Faessler , T. Gutsche , F. Simkovic

We calculate the nuclear matrix element (NME), effective axial-vector current coupling $g_A^\mathrm{eff}$, and half-life of the double-$\beta$ ($\beta\beta$) decay using the transition operator perturbed by the nuclear interaction. The…

Nuclear Theory · Physics 2025-08-07 J. Terasaki , O. Civitarese

We have investigated the role of proton-neutron pairing in the context of the Quasiparticle Random Phase approximation formalism. This way the neutrinoless double beta decay matrix elements of the experimentally interesting A= 48, 76, 82,…

Nuclear Theory · Physics 2008-11-26 G. Pantis , F. Simkovic , J. D. Vergados , Amand Faessler

We approach the calculation of the nuclear matrix element of the neutrinoless double-beta decay process, considering the light-neutrino-exchange channel, by way of the realistic shell-model. In particular the focus of our work is spotted on…

Nuclear Theory · Physics 2021-02-05 L. Coraggio , N. Itaco , R. Mancino

Ruling out the inverted neutrino hierarchy with neutrinoless double beta decay experiments is possible if a limit on the effective mass below the minimal theoretically possible value is reached. We stress that this lower limit depends…

High Energy Physics - Phenomenology · Physics 2011-07-05 Alexander Dueck , Werner Rodejohann , Kai Zuber

Neutron-rich Nd and Sm isotopes are known to exhibit shape phase transition as a function of neutron number. Among them, $^{150}$Nd and $^{150}$Sm are important not only because they are transitional nuclei, but also the parent and daughter…

Nuclear Theory · Physics 2024-02-21 Yusuke Tsunoda , Noritaka Shimizu , Takaharu Otsuka

Neutrinoless double-beta decay, if observed, would signal physics beyond the Standard Model that could be discovered at energies significantly lower than those at which the relevant degrees of freedom could be excited. Therefore, it could…

High Energy Physics - Phenomenology · Physics 2016-07-13 Mihai Horoi , Andrei Neacsu

We revisit the phenomenology of neutrinoless double beta ($0\nu\beta\beta$) decay mediated by non-interfering exchange of light and heavy Majorana neutrinos, in the context of current and prospective ton-scale experimental searches, as well…

High Energy Physics - Phenomenology · Physics 2023-09-21 Eligio Lisi , Antonio Marrone , Newton Nath

We use diagrammatic perturbation theory to construct an effective shell-model operator for the neutrinoless double-beta decay of 82Se. The starting point is the same Bonn-C nucleon-nucleon interaction that is used to generate the…

Nuclear Theory · Physics 2009-08-03 Jonathan Engel , Gaute Hagen

As experimental searches for neutrinoless double-beta ($0\nu\beta\beta$) decay are entering a new generation, with hopes to completely probe the inverted mass hierarchy, the need for reliable nuclear matrix elements, which govern the rate…

Nuclear Theory · Physics 2025-05-08 A. Belley , T. Miyagi , S. R. Stroberg , J. D. Holt

We study two-neutrino double-beta decay ($2\nu\beta\beta$) into first-excited $0^+_2$ states of nuclei used in $\beta\beta$ decay experiments, including $^{76}$Ge, $^{82}$Se, $^{130}$Te, and $^{136}$Xe. We calculate the corresponding…

Nuclear Theory · Physics 2026-04-08 Daniel Castillo , Dorian Frycz , Beatriz Benavente , Javier Menéndez

The nuclear matrix elements that govern the rate of neutrinoless double beta decay must be accurately calculated if experiments are to reach their full potential. Theorists have been working on the problem for a long time but have recently…

Nuclear Theory · Physics 2017-03-29 Jonathan Engel , Javier Menéndez

We have proposed in a series of previous papers a method to determine the effective axial-vector current coupling and the strength of the isoscalar proton-neutron pairing interaction for calculating the nuclear matrix elements of the…

Nuclear Theory · Physics 2019-10-02 J. Terasaki , Y. Iwata

We used a high-resolution magnetic spectrograph to study neutron pair-correlated $0^+$ states in $^{136}$Ba, produced via the $^{138}{\rm Ba}(p,t)$ reaction. In conjunction with state-of-the-art shell model calculations, these data…

We study neutrinoless double beta decay of several isotopes with state-of-the-art beyond self-consistent mean field methods to compute the nuclear matrix elements (NME). Generating coordinate method with particle number and angular momentum…

Nuclear Theory · Physics 2015-03-17 Tomas R. Rodriguez , Gabriel Martinez-Pinedo

Neutrinoless double-beta ($0\nu\beta\beta$) decay is a heretofore unobserved process which, if observed, would imply that neutrinos are Majorana particles. Interpretations of the stringent experimental constraints on $0\nu\beta\beta$-decay…

In this work we present the first beyond closure calculation for the neutrinoless double beta decay ($0\nu\beta\beta$) of $^{76}$Ge to the first $2^+$ states of $^{76}$Se. The isospin symmetry restored Quasi-particle random phase…

Nuclear Theory · Physics 2021-04-21 Dong-Liang Fang , Amand Faessler

We compare different methods of obtaining the neutrinoless double beta decay nuclear matrix elements (NME). On the example of 76Ge we use the NME to calculate the Majorana neutrino transition magnetic moments, generated through…

High Energy Physics - Phenomenology · Physics 2015-06-03 M. Góźdź , W. A. Kamiński

We investigate neutrinoless double-beta decay ($0\nu\beta\beta$) in the minimal extension of the standard model of particle physics, the $\nu$SM, where gauge-singlet right-handed neutrinos give rise to Dirac and Majorana neutrino mass…

High Energy Physics - Phenomenology · Physics 2023-03-09 Wouter Dekens , Jordy de Vries , Emanuele Mereghetti , Javier Menéndez , Pablo Soriano , Guanghui Zhou