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In this article we present a more detailed version of our recent Rapid Communication [Phys. Rev. C 90, 051301(R) (2014)] where we calculate the nuclear matrix elements for neutrinoless double-$\beta$ decay of $^{76}$Ge. For the calculations…

Nuclear Theory · Physics 2016-05-25 R. A. Sen'kov , M. Horoi

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

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

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

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

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

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. To this end, we start from a realistic…

Nuclear Theory · Physics 2020-04-29 L. Coraggio , A. Gargano , N. Itaco , R. Mancino , F. Nowacki

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

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

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

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

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

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

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 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

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 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

The neutrinoless double-$\beta$ decay ($0\nu\beta\beta$) of nuclei is one of the major research subjects of neutrino physics nowadays because of its influence on particle physics and astrophysics. The predicted nuclear matrix elements…

Nuclear Theory · Physics 2025-09-23 J. Terasaki , O. Civitarese

The $\lambda$ and $m_{\beta\beta}$ mechanisms of neutrinoless double beta decay ($0\nu\beta\beta$) occur with light neutrino exchange via $W_L-W_R$, and $W_L-W_L$ mediation, respectively. In the present study, we calculate the nuclear…

Nuclear Theory · Physics 2020-09-23 Shahariar Sarkar , Y. Iwata , P. K. Raina

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
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