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A formal relation between the GT part of the nuclear matrix elements $M^0\nu}_{GT}$ of $0\nu\beta\beta$ decay and the closure matrix elements $M^{2\nu}_{cl}$ of $2\nu\beta\beta$ decay is established. This relation is based on the integral…

Nuclear Theory · Physics 2015-05-30 Petr Vogel , Fedor Šimkovic

The double-beta (2$\beta$)-decay is the rarest nuclear physics process, and its experimental half-lives (T$_{1/2}$) exceed the age of the Universe from nine to fourteen orders of magnitude. Double-beta decay was observed, and its half-life…

Nuclear Experiment · Physics 2025-03-26 B. Pritychenko , V. I. Tretyak

We report the results of a calculation of the nuclear matrix element of neutrinoless double-$\beta$ decay of $^{48}$Ca, carried out taking into account nucleon-nucleon correlations in both coordinate- and spin-space. Our numerical results,…

Nuclear Theory · Physics 2015-06-18 Omar Benhar , Riccardo Biondi , Enrico Speranza

The extension of Majorana neutrino mass mechanism of the neutrinoless double-beta decay ($0\nu\beta\beta$) with the inclusion of right-handed leptonic and hadronic currents is revisited. While only the exchange of light neutrinos is…

High Energy Physics - Phenomenology · Physics 2015-11-11 Dusan Stefanik , Rastislav Dvornicky , Fedor Simkovic , Petr Vogel

This study re examines the effect of nuclear deformation on the calculated Gamow Teller (GT) strength distributions of neutron deficient (178 192Hg, 185 194Pb and 196 206Po) nuclei. The nuclear ground state properties and shape parameters…

Solar and Stellar Astrophysics · Physics 2024-11-28 Jameel-Un Nabi , Tuncay Bayram , Muhammad Riaz , Asim Ullah , Anes Hayder , Sevki Senturk , Mahmut Boyukata

Employing four different parametrization of the pairing plus multipolar type of effective two-body interaction and three different parametrizations of Jastrow-type of short range correlations, the uncertainties in the nuclear transition…

Nuclear Theory · Physics 2015-05-28 P. K. Rath , R. Chandra , P. K. Raina , K. Chaturvedi , J. G. Hirsch

Four nuclei which are proved to be $2\nu\beta\beta$ emitters ($^{76}$Ge, $^{82}$Se, $^{150}$Nd, $^{238}$U), and four suspected, due to the corresponding Q-values, to have this property ($^{148}$Nd, $^{154}$Sm, $^{160}$Gd, $^{232}$Th), were…

Nuclear Theory · Physics 2009-11-10 A. A. Raduta , A. Escuderos , A. Faessler , E. Moya de Guerra , P. Sarriguren

We study double gamma ($\gamma\gamma$) decay nuclear matrix elements (NMEs) for a wide range of nuclei from titanium to xenon, and explore their relation to neutrinoless double-beta ($0\nu\beta\beta$) NMEs. To favor the comparison, we focus…

Nuclear Theory · Physics 2022-03-17 B. Romeo , J. Menéndez , C. Peña

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

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

Nuclear matrix elements (NMEs) for double and single beta decays are crucial for studying neutrino properties beyond and within the standard model. The NMEs consist mainly of the spin isospin components. The delta isobar resonance, which is…

Nuclear Theory · Physics 2025-09-30 Hiroyasu Ejiri

Neutrinoless double beta decay is a very important process both from the particle and nuclear physics point of view. From the elementary particle point of view it pops up in almost every model. giving rise, among others, to the following…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. D. Vergados

Using an angular momentum projected single particle basis, a pnQRPA approach is used to study the $2\nu\beta\beta$ properties of ten isotopes, exhibiting various quadrupole deformations. The mother and daughter nuclei exhibit different…

Nuclear Theory · Physics 2009-11-10 A. A. Raduta , C. M. Raduta , A. Escuderos

In this work we report on the effects of short-range correlations upon the matrix elements of neutrinoless double beta decay. We focus on the calculation of the matrix elements of the neutrino-mass mode of neutrinoless double beta decays of…

Nuclear Theory · Physics 2008-11-26 M. Kortelainen , O. Civitarese , J. Suhonen , J. Toivanen

Effect of deformation on half-life of two-proton (2p) radioactivity is investigated across the periodic chart for nuclei with Z$<$82. 2p-decay half-lives are estimated by employing our newly proposed semi-empirical formula wherein the…

Nuclear Theory · Physics 2022-12-07 G. Saxena , Mamta Aggarwal , D. Singh , A. Jain , P. K. Sharma , H. L. Yadav

Understanding the origin of lepton number violation is one of the fundamental questions in particle physics today. Neutrinoless double beta decay provides a way in which this violation can be tested. In this article, we derive the form of…

High Energy Physics - Phenomenology · Physics 2021-10-19 Jenni Kotila , Jacopo Ferretti , Francesco Iachello

Neutrinoless double-beta decay ($0\nu\beta\beta$) is a rare hypothesised process that, if discovered, would establish that the neutrino is Majorana, that is, it is its own antiparticle. Interpretation of experimental results relies on…

High Energy Physics - Lattice · Physics 2025-04-29 Anthony V. Grebe

Study of the neutrinoless double beta decay, $0\nu\beta\beta$, includes a variety of problems of nuclear structure theory. They are reviewed here. The problems range from the mechanism of the decay, i.e. exchange of the light Majorana…

Nuclear Theory · Physics 2015-06-11 Petr Vogel

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

An exactly solvable model for a description of the two-neutrino double beta decay transition of the Fermi type is considered. By using perturbation theory an explicit dependence of the two-neutrino double beta decay matrix element on the…

Nuclear Theory · Physics 2015-06-16 Dusan Stefanik , Fedor Simkovic , Kazuo Muto , Amand Faessler