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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

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

We investigate neutrinoless double beta decay ($0\nu\beta\beta$) in the presence of sterile neutrinos with Majorana mass terms. These gauge-singlet fields are allowed to interact with Standard-Model (SM) fields via renormalizable Yukawa…

High Energy Physics - Phenomenology · Physics 2020-07-15 Wouter Dekens , Jordy de Vries , Kaori Fuyuto , Emanuele Mereghetti , Guanghui Zhou

We analyze nuclear matrix elements (NME) of neutrinoless double beta decay calculated for the Cadmium isotopes. Energy density functional methods including beyond mean field effects such as symmetry restoration and shape mixing are used.…

Nuclear Theory · Physics 2015-06-11 Tomás R. Rodríguez , Gabriel Martínez-Pinedo

In the present work, we examine the role of central (C), spin-orbit (SO) and tensor (T) components of two-nucleon interaction in the nuclear matrix elements (NMEs) of the two-neutrino double beta decay ($2\nu\beta\beta$) and the light…

Nuclear Theory · Physics 2020-03-12 Shahariar Sarkar , Pawan Kumar , Kanhaiya Jha , P. K. Raina

The amplitude for the neutrinoless double $\beta$ ($0\nu\beta\beta$) decay of the two-neutron system, $nn\to ppe^-e^-$, constitutes a key building block for nuclear-structure calculations of heavy nuclei employed in large-scale…

We show that chiral effective field theory (EFT) two-body currents provide important contributions to the quenching of low-momentum-transfer Gamow-Teller transitions, and use chiral EFT to predict the momentum-transfer dependence that is…

Nuclear Theory · Physics 2015-03-19 J. Menéndez , D. Gazit , A. Schwenk

We evaluate all nuclear matrix elements (NMEs) up to next-to-next-to leading order (N$^2$LO) in chiral effective field theory ($\chi$EFT) for the neutrinoless double-beta ($0\nu\beta\beta$) decay of the nuclei most relevant for experiments,…

Nuclear Theory · Physics 2025-08-22 Daniel Castillo , Lotta Jokiniemi , Pablo Soriano , Javier Menéndez

For the first time, we approach in this work the problem of the renormalization of the Gamow-Teller decay operator for nuclear shell-model calculations by way of many-body perturbation theory, starting from a nuclear Hamiltonian and…

Nuclear Theory · Physics 2023-12-25 L. Coraggio , N. Itaco , G. De Gregorio , A. Gargano , Z. H. Cheng , Y. Z. Ma , F. R. Xu , M. Viviani

We present converged ab initio calculations of short-range neutrinoless double-beta ($0\nu\beta\beta$) decay nuclear matrix elements for the key experimental isotopes $^{76}$Ge, $^{82}$Se, $^{130}$Te and $^{136}$Xe. Starting from different…

Nuclear Theory · Physics 2026-04-27 A. Todd , T. Shickele , A. Belley , L. Jokiniemi , J. D. Holt

We use the large scale nuclear shell model to calculate the nuclear matrix elements for the neutrino mediated neutrinoless double beta decay within the Left-Right symmetric model for four nuclei: $^{76}$Ge, $^{82}$Se, $^{130}$Te and…

Nuclear Theory · Physics 2024-07-04 Dong-Liang Fang , B. Alex Brown , Fedor Šimkovic

Employing the PHFB model, nuclear transition matrix elements $M^{\left( K\right) }$ for the neutrinoless double-$\beta^{-} $ decay of $\ ^{76}$Ge and $^{82}$Se isotopes are calculated within mechanisms involving light as well as heavy…

Nuclear Theory · Physics 2017-07-10 P. K. Rath , R. Chandra , A. Kumar , P. K. Raina , B. M. Dixit

In the no-core shell model formalism we compute effective one- and two-body operators, using the Lee-Suzuki procedure within the two-body cluster approximation. We evaluate the validity of the latter through calculations in reduced model…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Bruce R. Barrett , Petr Navratil , Calvin W. Johnson

We study the two-neutrino double-beta decay in 76Ge, 116Cd, 128Te, 130Te, and 150Nd, as well as the two Gamow-Teller branches that connect the double-beta decay partners with the states in the intermediate nuclei. We use a theoretical…

Nuclear Theory · Physics 2017-01-06 P. Sarriguren , O. Moreno , E. Moya de Guerra

Neutrinoless double-beta decay is a unique process that could reveal physics beyond the Standard Model. Essential ingredients in the analysis of neutrinoless double-beta rates are the associated nuclear matrix elements. Most of the…

Nuclear Theory · Physics 2013-12-17 R. A. Sen'kov , M. Horoi

The calculated nuclear matrix elements for the neutrinoless double-beta ($0\nu\beta\beta$) decay suffer from several limitations. Predicted matrix-element values depend on the many-body method used to calculate them and, in addition, they…

Nuclear Theory · Physics 2019-01-30 Javier Menéndez

The nuclear matrix element (NME) of the neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. The reliable calculation of this NME…

Nuclear Theory · Physics 2021-09-15 J. Terasaki , Y. Iwata

A theoretical approach based on a deformed quasiparticle random phase approximation built on a Skyrme selfconsistent mean field is used to describe the recent measurements of the Gamow-Teller GT- strength distribution extracted from the…

Nuclear Theory · Physics 2012-09-27 P. Sarriguren

The effect of deformation on the two-neutrino double decay (2nbb-decay) for ground state transition 76Ge -> 76Se is studied in the framework of the deformed QRPA with separable Gamow-Teller residual interaction. A new suppression mechanism…

Nuclear Theory · Physics 2009-11-10 Fedor Simkovic , Larisa Pacearescu , Amand Faessler

The neutrinoless double beta ($0\nu\beta\beta$) decay process could provide crucial information to determine the absolute scale of the neutrino masses, and it is the only one that can establish whether neutrino is a Dirac or a Majorana…

Nuclear Theory · Physics 2010-05-12 Mihai Horoi , Sabin Stoica