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The nuclear matrix elements (NMEs) of the neutrinoless and two-neutrino double-$\beta$ decays of $^{48}$Ca are calculated by the quasiparticle random-phase approximation (QRPA) with emphasis on the consistency examinations of this…

Nuclear Theory · Physics 2018-03-07 J. Terasaki

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

Neutrinoless double beta decay ($0\nu\beta\beta$) nuclear matrix elements (NME) are the object of many theoretical calculation methods, and are very important for analysis and guidance of a large number of experimental efforts. However,…

Nuclear Theory · Physics 2022-11-09 M. Horoi , A. Neacsu , S. Stoica

Nuclear matrix elements (NMEs) for two-neutrino double-beta decay ($2\nu\beta\beta$) are studied in the framework of relativistic nuclear energy density functional (REDF). The properties of nuclei involved in the decay are obtained using…

Nuclear Theory · Physics 2022-07-13 N. Popara , A. Ravlić , N. Paar

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 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…

We calculate nuclear matrix elements (NME) of neutrinoless double beta decay in four different candidate nuclei (Ge-76, Se-82, Mo-100, Te-130) within the quasiparticle random phase approximation (QRPA) and its uncertainties. We assume (up…

High Energy Physics - Phenomenology · Physics 2011-08-25 Amand Faessler , G. L. Fogli , E. Lisi , A. M. Rotunno , F. Simkovic

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

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

We propose a semi-empirical formula (SEF) for calculating the nuclear matrix elements (NMEs) for two-neutrino double-beta decay. The SEF's dependence on the proton and neutron numbers, the pairing, isospin, and deformation properties of the…

Nuclear Theory · Physics 2026-02-04 Ovidiu Niţescu , Fedor Šimkovic

Nuclear matrix elements (NMEs) for two neutrino double beta decays are discussed in terms of the Fermi Surface Quasi-Particle (FSQP) Model. The evaluated NMEs agree with the observed NMEs . The new NMEs for two neutrino double beta decays…

Nuclear Theory · Physics 2017-12-06 Hiroyasu Ejiri

Neutrinos are perhaps the most elusive known particles in the universe. We know they have some nonzero mass, but unlike all other particles, the absolute scale remains unknown. In addition, their fundamental nature is uncertain; they can…

Nuclear Theory · Physics 2023-07-31 A. Belley , T. Miyagi , S. R. Stroberg , J. D. Holt

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

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

We study two-neutrino double-beta decay ($2\nu\beta\beta$) into first-excited $0^+_2$ states of nuclei used in $\beta\beta$ decay experiments, including $^{76}$Ge, $^{82}$Se, $^{130}$Te, and $^{136}$Xe. We calculate the corresponding…

Nuclear Theory · Physics 2026-04-08 Daniel Castillo , Dorian Frycz , Beatriz Benavente , Javier Menéndez

Calculation of the nuclear matrix elements (NMEs) for double-beta decay is of paramount importance for guiding experiments and for analyzing and interpreting the experimental data, especially for the search of the neutrinoless double beta…

Nuclear Theory · Physics 2023-04-26 Mihai Horoi , Andrei Neacsu , 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

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

Nuclear matrix elements (NME) are a crucial input for the interpretation of neutrinoless double beta decay data. We consider a representative set of recent NME calculations from different methods and investigate the impact on the present…

High Energy Physics - Phenomenology · Physics 2023-07-05 Federica Pompa , Thomas Schwetz , Jing-Yu Zhu

Nuclear matrix elements (NME) for the most promising candidates to detect neutrinoless double beta decay have been computed with energy density functional methods including deformation and pairing fluctuations explicitly on the same…

Nuclear Theory · Physics 2014-01-06 Nuria López Vaquero , Tomás R. Rodríguez , J. Luis Egido