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We compare different methods of obtaining the neutrinoless double beta decay nuclear matrix elements (NME). On the example of 76Ge we use the NME to calculate the Majorana neutrino transition magnetic moments, generated through…

High Energy Physics - Phenomenology · Physics 2015-06-03 M. Góźdź , W. A. Kamiński

Searches of neutrinoless double-beta decay require information on the value of the nuclear matrix elements that rule the process to plan and interpret experiments. At present, however, even the matrix elements obtained with the most…

Nuclear Theory · Physics 2018-08-15 Javier Menéndez , Noritaka Shimizu , Kentaro Yako

We report on the calculation of Gamow-Teller and double-beta decay properties for nuclei around 132Sn within the framework of the realistic shell model. The effective shell-model Hamiltonian and Gamow-Teller transition operator are derived…

Nuclear Theory · Physics 2017-06-28 L. Coraggio , L. De Angelis , T. Fukui , A. Gargano , N. Itaco

We have proposed in a series of previous papers a method to determine the effective axial-vector current coupling and the strength of the isoscalar proton-neutron pairing interaction for calculating the nuclear matrix elements of the…

Nuclear Theory · Physics 2019-10-02 J. Terasaki , Y. Iwata

The experimental pursuit of neutrinoless double-beta decay ($0\nu\beta\beta$) constitutes one of the most compelling avenues for probing lepton-number violation and exploring physics beyond the Standard Model. Within this landscape,…

Nuclear Theory · Physics 2026-05-22 Mihai Horoi , Andrei Neacsu

The predicted neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is the crucial phenomenon to prove the existence of the Majorana neutrino, which gives a foundation to leptogenesis to explain the matter prevalence of the universe. The…

Nuclear Theory · Physics 2024-09-04 Jun Terasaki

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

A large Hilbert space is used for the calculation of the nuclear matrix elements governing the light neutrino mass mediated mode of neutrinoless double beta decay of Ge76, Mo100, Cd116, Te128 and Xe136 within the proton-neutron…

Nuclear Theory · Physics 2009-10-30 F. Simkovic , J. Schwieger , G. Pantis , Amand Faessler

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

The neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay and the double Gamow-Teller (DGT) transition are investigated with the state-of-the-art Relativistic Configuration-interaction Density functional theory. A strong linear correlation…

Nuclear Theory · Physics 2024-06-25 Y. K. Wang , P. W. Zhao , J. Meng

We study in this letter the behavior of the neutrinoless double beta decay nuclear matrix elements (NME's) in the framework of the Interacting Shell Model. We analize them in terms of the total angular momentum of the decaying neutron pair…

Nuclear Theory · Physics 2008-11-26 E. Caurier , J. Menendez , F. Nowacki , A. Poves

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

The double Gamow-Teller strength distributions in the lightest double beta-decay candidate $^{48}$Ca and its isotope $^{46}$Ca were calculated using the nuclear shell model by applying the single Gamow-Teller operator two times sequentially…

Nuclear Theory · Physics 2018-12-05 Naftali Auerbach , Minh-Loc Bui

A large experimental program is being mounted to search for neutrinoless double-beta decay over the next decade. Multiple experiments using different target isotopes are being prepared to explore the whole parameter space allowed for…

High Energy Physics - Phenomenology · Physics 2023-03-22 Matteo Agostini , Frank F. Deppisch , Graham Van Goffrier

We explore the influence of the deformation on the nuclear matrix elements of the neutrinoless double beta decay (NME), concluding that the difference in deformation -or more generally in the amount of quadrupole correlations- between…

Nuclear Theory · Physics 2011-02-18 J. Menendez , A. Poves , E. Caurier , F. Nowacki

We investigate the experimental feasibility of detecting second-order double-magnetic dipole ($\gamma\gamma$-$M1M1$) decays from double isobaric analog states (DIAS), which have recently been found to be strongly correlated with the nuclear…

We use chiral interactions and several {\em ab initio} methods to compute the nuclear matrix elements (NMEs) for ground-state to ground-state double Gamow-Teller transitions in a range of isotopes, and explore the correlation of these NMEs…

Nuclear Theory · Physics 2022-07-27 J. M. Yao , I. Ginnett , A. Belley , T. Miyagi , R. Wirth , S. Bogner , J. Engel , H. Hergert , J. D. Holt , S. R. Stroberg

The lifetimes for the double beta decays of $^{76}$Ge, $^{82}$Se and $^{136}$Xe are calculated using very large shell model spaces. The two neutrino matrix elements obtained are in good agreement with the present experimental data. For…

Nuclear Theory · Physics 2009-10-30 E. Caurier , F. Nowacki , A. Poves , J. Retamosa

In this work, we aim to achieve a minimal extension of the quantum-number projected generator coordinate method (PGCM) to describe Gamow-Teller (GT) transition strengths in even-even nuclei and to compute the NME of $2\nu\beta\beta$ decay.…

Nuclear Theory · Physics 2026-04-06 R. N. Chen , X. Lian , J. M. Yao , C. L. Bai

The observation of neutrinoless double beta decay will have important consequences. First it will signal that lepton number is not conserved and the neutrinos are Majorana particles. Second, it represents our best hope for determining the…

High Energy Physics - Phenomenology · Physics 2016-12-12 J. D. Vergados , H. Ejiri , F Šimkovic