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We investigate a novel method of accurate calculation of the neutrinoless double-$\beta$ decay shell-model nuclear matrix elements for the experimentally relevant case of $^{76}$Ge. We demonstrate that with the new method the nuclear matrix…

Nuclear Theory · Physics 2015-06-23 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

Background: Direct determination of the neutrino mass through double-$\beta$ decay is at the present time one of the most important areas of experimental and theoretical research in nuclear and particle physics. Purpose: We calculate…

Nuclear Theory · Physics 2013-01-18 J. Barea , J. Kotila , F. Iachello

Most uncertainties regarding the theoretical study of the neutrinoless double-beta decay are related to the accuracy of the nuclear matrix elements that appear in the expressions of the lifetimes. We calculate the nuclear matrix elements…

Nuclear Theory · Physics 2015-06-23 Andrei Neacsu , Mihai Horoi

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

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

We recently proposed a new method to calculate the standard nuclear matrix elements for neutrinoless double-$\beta$ decay ($0\nu\beta\beta$) of ${}^{48}$Ca going beyond the closure approximation. Here we extend this analysis to the…

Nuclear Theory · Physics 2015-06-18 R. A. Sen'kov , M. Horoi , B. A. Brown

In this study, we calculate the nuclear matrix elements (NMEs) for the light neutrino-exchange mechanism of neutrinoless double beta $0\nu\beta\beta$) decay of $^{124}$Sn within the framework of the interacting nuclear shell model using the…

Nuclear Theory · Physics 2024-03-05 Shahariar Sarkar , P. K. Rath , V. Nanal , R. G. Pillay , Pushpendra P. Singh , Y. Iwata , K. Jha , P. K. Raina

In this investigation, we compute the nuclear matrix elements (NMEs) relevant to the light neutrino-exchange mechanism governing neutrinoless double beta ($0\nu\beta\beta$) decay in $^{136}$Xe. Our method is based on the nonclosure approach…

Nuclear Theory · Physics 2025-02-06 S. Sarkar , Y. Iwata , K. Jha , R. Chatterjee

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 apply the shell-model wave-functions of $^{76}Ge$ to calculate the nuclear matrix elements and the half-life of the $2\nu\beta\beta$ decay in $^{76}Ge$. Our result is comparable to the recent observed $2\nu\beta\beta$-decay half-life of…

Nuclear Theory · Physics 2007-05-23 Hui-fang Wu , Tao Huang

We calculate basis-space converged neutrinoless $\beta \beta$ decay nuclear matrix elements for the lightest candidates: 48Ca, 76Ge and 82Se. Starting from initial two- and three-nucleon forces, we apply the ab initio in-medium similarity…

Nuclear Theory · Physics 2021-02-02 A. Belley , C. G. Payne , S. R. Stroberg , T. Miyagi , J. D. Holt

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 report on the calculation of the neutrinoless double-beta decay nuclear matrix element for 76Ge within the framework of the realistic shell model. The effective shell-model Hamiltonian and the two-body transition operator describing the…

Nuclear Theory · Physics 2020-01-08 Nunzio Itaco , Luigi Coraggio , Riccardo Mancino

Neutrinoless double beta decay searches are currently among the major foci of experimental physics. The observation of such a decay will have important implications in our understanding of the intrinsic nature of neutrinos and shed light on…

Nuclear Theory · Physics 2020-12-15 L. Coraggio , N. Itaco , G. De Gregorio , A. Gargano , R. Mancino , S. Pastore

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 study in this letter the double beta decay of 136Xe with emission of two neutrinos which has been recently measured by the EXO-200 collaboration. We use the same shell model framework, valence space, and effective interaction that we…

Nuclear Theory · Physics 2015-06-03 Etienne Caurier , Frederic Nowacki , Alfredo Poves

To extract information about the neutrino properties from the study of neutrinoless double-beta (0\nu\beta\beta) decay one needs a precise computation of the nuclear matrix elements (NMEs) associated with this process. Approaches based on…

Nuclear Theory · Physics 2013-08-06 Andrei Neacsu , Sabin Stoica , Mihai Horoi

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 use the generator-coordinate method with realistic shell-model interactions to closely approximate full shell-model calculations of the matrix elements for the neutrinoless double-beta decay of $^{48}$Ca, $^{76}$Ge, and $^{82}$Se. We…

Nuclear Theory · Physics 2017-11-22 C. F. Jiao , J. Engel , J. D. Holt
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