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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

All existing positive results on two neutrino double beta decay in different nuclei were analyzed. Using the procedure recommended by the Particle Data Group, weighted average values for half-lives of $^{48}$Ca, $^{76}$Ge, $^{82}$Se,…

Nuclear Experiment · Physics 2015-05-20 A. S. Barabash

The study of the neutrinoless double beta ($0 \beta\beta$) decay mode can provide us with important information on the neutrino properties, particularly on the electron neutrino absolute mass. In this work we revise the present constraints…

Nuclear Theory · Physics 2016-11-25 Sabin Stoica , Andrei Neacsu

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

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

We present the nuclear matrix element for the neutrinoless double-beta decay of $^{48}$Ca based on large-scale shell-model calculations including two harmonic oscillator shells ($sd$ and $pf$ shells). The excitation spectra of $^{48}$Ca and…

Nuclear Theory · Physics 2016-03-23 Y. Iwata , N. Shimizu , T. Otsuka , Y. Utsuno , J. Menendez , M. Honma , T. Abe

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

All existing positive results on two-neutrino double beta decay and two-neutrino double electron capture in different nuclei have been analyzed. Weighted average and recommended half-life values for $^{48}$Ca, $^{76}$Ge, $^{82}$Se,…

Nuclear Experiment · Physics 2020-10-01 Alexander Barabash

The calculations of nuclear matrix elements of $0\nu\beta\beta$-decay is a challenge for nuclear physics. We are discussing here a model independent method, which could allow to test the calculations. The method is based on the…

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

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

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

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

We apply the shell-model wave-functions of $^{76}Ge$ to calculate the nuclear matrix elements and the half-life of the $2\nu\beta\beta$ decay in $^{76}Ge$. Our result is comparable to the recent observed $2\nu\beta\beta$-decay half-life of…

Nuclear Theory · Physics 2007-05-23 Hui-fang Wu , Tao Huang

Nuclear double beta decay, an extremely rare radioactive decay process, is - in one of its variants - one of the most exciting means of research into particle physics beyond the standard model. The large progress in sensitivity of…

High Energy Physics - Phenomenology · Physics 2016-11-15 Hans V. Klapdor-Kleingrothaus , Irina V. Krivosheina

A microscopic state-of-the-art calculation of the nuclear matrix element for neutrinoless double beta decay of $^{150}$Nd with an account for nuclear deformation is performed. The proton-neutron quasiparticle random phase approximation…

Nuclear Theory · Physics 2011-04-28 Dong-Liang Fang , Amand Faessler , Vadim Rodin , Fedor Simkovic

Neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is related to many fundamental concepts in nuclear and particle physics beyond the standard model. Currently there are many experiments searching for this weak process. An accurate…

Nuclear Theory · Physics 2015-06-22 L. S. Song , J. M. Yao , P. Ring , J. Meng

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

We calculate the nuclear matrix elements of the neutrinoless double beta ($0\nu\beta\beta$) decays of $^{76}$Ge and $^{82}$Se for the light-neutrino exchange mechanism. The nuclear wave functions are obtained by using realistic two-body…

Nuclear Theory · Physics 2008-11-26 Markus Kortelainen , Jouni Suhonen

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