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A brief summary of the status of neutrino masses, mixing and oscillations is presented. Neutrinoless double $\beta$-decay is considered. Predictions for the effective Majorana mass are reviewed. A possible test of the calculations of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky

Neutrinoless double beta decay is a hypothetical nuclear transition whose observation would demonstrate that neutrinos are their own antiparticles and that lepton number is not conserved, with far-reaching implications for the origin of…

Nuclear Experiment · Physics 2026-04-16 Andrea Giuliani

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

Accurate nuclear matrix elements (NMEs) for neutrinoless double beta decays of candidate nuclei are important for the design and interpretation of future experiments. Significant progress has been made in the modeling of these NMEs from…

Nuclear Theory · Physics 2021-01-12 J. M. Yao

The existing calculations of the nuclear matrix elements of the neutrinoless double $\beta$-decay differ by about a factor three. This uncertainty prevents quantitative interpretation of the results of experiments searching for this…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky , J. A. Grifols

In this talk I will review the "state of the art" of the calculations of the nuclear matrix elements (NME) of the neutrinoless double beta decays for the nuclei 48Ca, 76Ge, 82Se, 124Sn, 128Te, 130Te and 136Xe in the framework of the…

Nuclear Theory · Physics 2008-09-15 J. Menendez , A. Poves , E. Caurier , F. Nowacki

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

A microscopic state-of-the-art calculation of the nuclear matrix element for neutrinoless double beta decay of $^{150}$Nd with an account for nuclear deformation is performed. The proton-neutron quasiparticle random phase approximation…

Nuclear Theory · Physics 2011-04-28 Dong-Liang Fang , Amand Faessler , Vadim Rodin , Fedor Simkovic

Neutrinoless double beta decay has been the subject of intensive theoretical work as it represents the only practical approach to discovering whether neutrinos are Majorana particles or not, and whether lepton number is a conserved quantum…

Nuclear Theory · Physics 2013-03-04 R. G. H. Robertson

Neutrinoless Double Beta Decay ($0\nu\beta\beta$) is presently the only known experiment to distinguisch between Dirac neutrinos, different from their antiparticles, and Majorana neutrinos, identical with their antiparticles. In addition…

Nuclear Theory · Physics 2015-05-27 Amand Faessler

Neutrinoless double beta decay is a very important process both from the particle and nuclear physics point of view. Its observation will severely constrain the existing models and signal that the neutrinos are massive Majorana particles.…

High Energy Physics - Phenomenology · Physics 2011-04-15 J. D. Vergados

Neutrinoless double-beta decay ($0\nu\beta\beta$) is a rare hypothesised process that, if discovered, would establish that the neutrino is Majorana, that is, it is its own antiparticle. Interpretation of experimental results relies on…

High Energy Physics - Lattice · Physics 2025-04-29 Anthony V. Grebe

We study two-neutrino ($2\nu\beta\beta$) and neutrinoless double-$\beta$ ($0\nu\beta\beta$) decays in the nuclear shell model and proton-neutron quasiparticle random-phase approximation (pnQRPA) frameworks. Calculating the decay half-life…

Nuclear Theory · Physics 2023-04-14 Lotta Jokiniemi , Beatriz Romeo , Pablo Soriano , Javier Menéndez

Neutrinoless double beta decay is a very important process both from the particle and nuclear physics point of view. From the elementary particle point of view it pops up in almost every model. giving rise, among others, to the following…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. D. Vergados

Recently the evidence of the neutrinoless double $\beta$ ($0\nu \beta\beta$) decay has been announced. This means that neutrinos are Majorana particles and their mass hierarchy is forced to inverted mass hierarchy (Type B) or degenerate…

High Energy Physics - Phenomenology · Physics 2007-05-23 Naoyuki Haba , Noboru Nakamura , Tomoharu Suzuki

The neutrinoless double $\beta$-decay is reviewed. Model independent evidence in favor of neutrino masses and mixing is briefly summarized. The data of the recent experiments on the search for $0\nu\beta\beta$-decay are presented and some…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky

We report a systematic study of nuclear matrix elements (NMEs) in neutrinoless double-beta decays with a state-of-the-art beyond mean-field covariant density functional theory. The dynamic effects of particle-number and angular-momentum…

Nuclear Theory · Physics 2015-03-10 J. M. Yao , L. S. Song , K. Hagino , P. Ring , J. Meng

The motivation for the search for $0\nu\beta\beta$ decay is briefly reviewed. It is stressed that the exchange of light Majorana neutrinos is not the only possible mechanism of the decay. The link between lepton number and lepton flavor…

High Energy Physics - Phenomenology · Physics 2008-07-11 Petr Vogel

The possibility of observing neutrinoless double beta decay offers the opportunity of determining the neutrino mass IF the nuclear matrix element were known. Theoretical calculations are uncertain and measurements of the occupations of…

We explore the influence of the deformation on the nuclear matrix elements of the neutrinoless double beta decay (NME), concluding that the difference in deformation -or more generally in the amount of quadrupole correlations- between…

Nuclear Theory · Physics 2011-02-18 J. Menendez , A. Poves , E. Caurier , F. Nowacki