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We calculate the nuclear matrix element (NME), effective axial-vector current coupling $g_A^\mathrm{eff}$, and half-life of the double-$\beta$ ($\beta\beta$) decay using the transition operator perturbed by the nuclear interaction. The…

Nuclear Theory · Physics 2025-08-07 J. Terasaki , O. Civitarese

Double-beta decay matrix elements (ME) for $^{76}Ge$ are calculated with different quasi random phase approximation (QRPA)-based methods. First, the ME for the two-neutrino mode are computed using two choices for the single particle (s.p.)…

Nuclear Theory · Physics 2009-11-06 S. Stoica , H. V. Klapdor-Kleingrothaus

It is possible to employ virtual decay paths, including two-particle transfer, to calculate the nuclear matrix element of neutrinoless double-beta decay under the closure approximation, in addition to the true double-beta path. In the…

Nuclear Theory · Physics 2016-03-02 Jun Terasaki

Mixing and coexistence of intrinsic nuclear shapes play an important role to determine the low-energy structure of heavy nuclei, and are expected to affect nuclear matrix elements (NMEs) of neutrinoless double beta ($0\nu\beta\beta$) decay.…

Nuclear Theory · Physics 2025-11-11 Kosuke Nomura

The neutrinoless double beta decay is a pivotal weak nuclear process that holds the potential to unveil the Majorana nature of neutrinos and predict their absolute masses. In this study, we delve into examining the impact of spin-dependent…

Nuclear Theory · Physics 2024-02-05 S. Sarkar , Y. Iwata

Neutrinoless double-$\beta$ decay is of fundamental importance for the determining neutrino mass. By combining a calculation of nuclear matrix elements within the framework of the microscopic interacting boson model (IBM-2) with an improved…

Nuclear Theory · Physics 2015-06-30 J. Barea , J. Kotila , F. Iachello

Neutrinoless double beta decay can significantly help to shed light on the issue of non-zero neutrino mass, as observation of this lepton number violating process would imply neutrinos are Majorana particles. However, the underlying…

High Energy Physics - Phenomenology · Physics 2018-12-05 Lukas Graf , Frank F. Deppisch , Francesco Iachello , Jenni Kotila

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

Nuclear matrix elements (NME) for exchange of arbitrary mass neutrinos are calculated in the interacting boson model (IBM-2). By combining the NME with the phase space factors (PSF), expected half-lives for neutrinos of mass $m_N$ and…

High Energy Physics - Phenomenology · Physics 2015-12-10 J. Barea , J. Kotila , F. Iachello

Starting from chiral nuclear interactions, we evaluate the contribution of the leading-order contact transition operator to the nuclear matrix element (NME) of neutrinoless double-beta decay, assuming a light Majorana neutrino-exchange…

Nuclear Theory · Physics 2021-12-14 R. Wirth , J. M. Yao , H. Hergert

The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay ($0\nu\beta\beta$) are evaluated for $^{76}$Ge,$^{100}$Mo, $^{130}$Te, and $^{136}$Xe within the Renormalized Quasiparticle Random Phase Approximation (RQRPA) and…

Nuclear Theory · Physics 2011-05-05 V. A. Rodin , Amand Faessler , F. Šimkovic , Petr Vogel

Recent progress in nuclear-structure theory has been dramatic. I describe recent and future applications of ab initio calculations and the generator coordinate method to double-beta decay. I also briefly discuss the old and vexing problem…

Nuclear Theory · Physics 2015-11-11 Jonathan Engel

In this paper a microscopic state-of-the-art approach to calculation of the nuclear matrix element $M^{0\nu}$ for neutrinoless double beta decay with an account for nuclear deformation is presented in length and applied for $^{76}$Ge,…

Nuclear Theory · Physics 2015-03-17 Dong-Liang Fang , Amand Faessler , Vadim Rodin , Fedor Simkovic

Background: The discovery of neutrinoless double-beta ($0\nu\beta\beta$) decay would demonstrate the nature of neutrinos, have profound implications for our understanding of matter-antimatter mystery, and solve the mass hierarchy problem of…

Nuclear Theory · Physics 2017-02-09 L. S. Song , J. M. Yao , P. Ring , J. Meng

The possibility of observing neutrinoless double beta decay offers the opportunity of determining the neutrino mass IF the nuclear matrix element were known. Theoretical calculations are uncertain and measurements of the occupations of…

The effective Majorana neutrino mass is evaluated by using the latest results of neutrino oscillation experiments. The problems of the neutrino mass spectrum,absolute mass scale of neutrinos and the effect of CP phases are addressed. A…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. M. Bilenky , Amand Faessler , F. Simkovic

A possible model independent test of the theoretically calculated nuclear matrix elements of $0\nu\beta\beta$-decay is proposed. The test can be accomplished if $0\nu\beta\beta$-decay of three (or more) nuclei is observed. The selection of…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky , S. T. Petcov

Neutrinoless double beta decay (\( 0 \nu \beta \beta \)) is a hypothetical nuclear decay mode with important implications. In particular, observation of this decay would demonstrate that the neutrino is a Majorana particle and that lepton…

High Energy Physics - Lattice · Physics 2020-04-17 W. Detmold , D. J. Murphy

The nuclear matrix element for the two neutrino double beta decay (DBD) of 136Xe was evaluated by FSQP (Fermi Surface Quasi Particle model), where experimental GT strengths measured by the charge exchange reaction and those by the beta…

Nuclear Experiment · Physics 2012-03-07 Hiroyasu Ejiri

We introduce the formalism to describe heavy-ion Double-Charge-Exchange (DCE) processes in the eikonal approximation. We focus on the low-momentum-transfer limit -- corresponding to the differential cross section at $\theta=0^\circ$ -- and,…

Nuclear Theory · Physics 2018-12-12 E. Santopinto , H. García-Tecocoatzi , R. I. Magaña-Vsevolodovna , J. Ferretti