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Here, we study the neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay between the ground state and the first $2^+$ state of $^{76}\mbox{Ge} \rightarrow {}^{76}\mbox{Se}$, $^{82}\mbox{Se} \rightarrow{}^{82}\mbox{Kr}$, $^{130}\mbox{Te}…

Nuclear Theory · Physics 2023-01-06 J. Ferretti , R. Magana Vsevolodovna , J. Kotila , E. Santopinto

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 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

The discovery that neutrinos have finite rest mass has led to renewed interest in neutrinoless double beta decay. The development of large-scale experiments to search for neutrinoless double beta decay has increased the probability of a…

Nuclear Experiment · Physics 2015-06-05 S. J. Freeman , J. P. Schiffer

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

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky , J. A. Grifols

We study the possible structure of the neutrino mass matrix taking into consideration the solar and atmospheric neutrinos and the neutrinoless double beta decay. We emphasize on mass matrices with vanishing elements. There are only a very…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. V. Klapdor-Kleingrothaus , U. Sarkar

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

Reducing uncertainties in the nuclear matrix elements (NMEs) remains a critical challenge in designing and interpreting experiments aimed at discovering neutrinoless double beta ($0\nu\beta\beta$) decay. Here, we identify a class of…

Nuclear Theory · Physics 2025-07-11 Yi Li , Xin Zhang , Giuliano Giacalone , Jiangming Yao

The present status of calculations of the nuclear matrix elements for neutrinoless double beta decay is reviewed. A proposal which allows in principle to measure the neutrinoless double beta decay Fermi matrix element is briefly described.

Nuclear Theory · Physics 2009-11-02 Vadim Rodin

A complete calculation of the nuclear matrix elements (NME) for Majoron emitting neutrinoless double beta decay within the framework of IBM-2 for spectral indices $n=1,3,7$ is presented. By combining the results of this calculation with…

Nuclear Theory · Physics 2021-04-07 Jenni Kotila , Francesco Iachello

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

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

Combined bounds on the Majorana neutrino mass for light and heavy neutrino exchange mechanisms are derived from current neutrinoless double beta decay (0{\nu}\b{eta}\b{eta}) search results for a variety of nuclear matrix element (NME)…

High Energy Physics - Experiment · Physics 2021-07-14 Steven D. Biller

Nuclear matrix elements (NMEs) for neutrinoless double beta decays (DBDs) are required for studying neutrino physics beyond the standard model by DBD. The experimental spin-dipole (SD) giant resonance energy and the SD strength are shown…

Nuclear Theory · Physics 2022-02-23 H. Ejiri , L. Jokiniemi , J. Suhonen

We present a technique for estimating the number of future neutrinoless double-beta decay results using several distinct nuclei to optimize the physics reach of upcoming experiments. We use presently available matrix element calculations…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. M. Gehman , S. R. Elliott

The observation of neutrinoless double-beta ($0\nu\beta\beta$) decay would offer proof of lepton number violation, demonstrating that neutrinos are Majorana particles, while also helping us understand why there is more matter than…

The neutrinoless double beta decay is analyzed using a general Lorentz invariant effective Lagrangian for various decaying nuclei of current experimental interest: $^{76}$Ge, $^{82}$Se, $^{100}$Mo, $^{130}$Te, and $^{136}$Xe. We work out…

High Energy Physics - Phenomenology · Physics 2015-06-03 A. Ali , A. V. Borisov , D. V. Zhuridov

Background: Decay constants of unstable nuclei and particles are quantum constants. Recent controversy on the existence (versus non-existence) of variability in the observation of decay rate can be settled by considering mixing in decay…

High Energy Physics - Phenomenology · Physics 2022-04-26 Elsayed K. Elmaghraby

We calculate the nuclear matrix elements (NMEs) for neutrinoless double-beta decays ($0\nu\beta\beta$) of $pf$-shell nuclei using the shell model (SM) and energy density functional (EDF) methods. The systematic study of non-physical decays…

Nuclear Theory · Physics 2014-08-20 Javier Menéndez , Tomas R. Rodríguez , Gabriel Martínez-Pinedo , Alfredo Poves

Theoretical estimates for the half life of neutrinoless double beta decay in candidate nuclei are affected by both particle and nuclear physics uncertainties, which may complicate the interpretation of decay signals or limits. We study such…

High Energy Physics - Phenomenology · Physics 2015-11-11 E. Lisi , A. Rotunno , F. Simkovic