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We present a seminal calculation of the nuclear matrix element for the two-neutrino double beta ($2\nu\beta\beta$) decay of ${}^{48}\text{Ca} \rightarrow {}^{48}\text{Ti}$ using a post-Hartree-Fock (HF) Density Functional Theory-based…

Nuclear Theory · Physics 2025-06-17 Jan Miśkiewicz , Maciej Konieczka , Wojciech Satuła

In this work we discuss the neutrino mass dependent nuclear matrix element (NME) of the neutrinoless double beta decay process and derive the limit on the parameter space of the minimal Type-I seesaw model from the current available…

High Energy Physics - Phenomenology · Physics 2024-08-20 Dong-Liang Fang , Yu-Feng Li , Yi-Yu Zhang , Jing-Yu Zhu

We report ab initio benchmark calculations of nuclear matrix elements (NMEs) for neutrinoless double-beta ($0\nu\beta\beta$) decays in light nuclei with mass number ranging from $A=6$ to $A=22$. We use the transition operator derived from…

Nuclear Theory · Physics 2021-01-27 J. M. Yao , A. Belley , R. Wirth , T. Miyagi , C. G. Payne , S. R. Stroberg , H. Hergert , J. D. Holt

The neutrinoless double beta decay is analyzed using a general Lorentz invariant effective Lagrangian for various decaying nuclei of current experimental interest: $^{76}$Ge, $^{82}$Se, $^{100}$Mo, $^{130}$Te, and $^{136}$Xe. We work out…

High Energy Physics - Phenomenology · Physics 2015-06-03 A. Ali , A. V. Borisov , D. V. Zhuridov

In this investigation, we compute the nuclear matrix elements (NMEs) relevant to the light neutrino-exchange mechanism governing neutrinoless double beta ($0\nu\beta\beta$) decay in $^{136}$Xe. Our method is based on the nonclosure approach…

Nuclear Theory · Physics 2025-02-06 S. Sarkar , Y. Iwata , K. Jha , R. Chatterjee

We evaluate the leading-order short-range nuclear matrix element for the neutrinoless double-beta ($0\nu\beta\beta$) decay of the nuclei most relevant for experiments, including $^{76}$Ge, $^{100}$Mo, $^{130}$Te and $^{136}$Xe. In our…

Nuclear Theory · Physics 2021-12-06 Lotta Jokiniemi , Pablo Soriano , Javier Menéndez

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

Two-neutrino double-beta ($2\nu\beta\beta$) decay has been used to constrain the neutron-proton part of effective interactions, which in turn is used to compute the nuclear matrix elements for neutrinoless double-beta decay, the observation…

Nuclear Theory · Physics 2022-04-20 Nobuo Hinohara , Jonathan Engel

We perform the calculation of nuclear matrix elements for the neutrinoless double beta decays under a Left-Right symmetric model mediated by light neutrino, and we adopt the spherical quasi-particle random-phase approximation (QRPA)…

Nuclear Theory · Physics 2025-06-17 Ri-Guang Huang , You-Cai Chen , Dong-Liang Fang

We extend the multi-reference covariant density functional theory (MR-CDFT) by including fluctuations in quadrupole deformations and average isovector pairing gaps simultaneously for the nuclear matrix elements (NMEs) of neutrinoless…

Nuclear Theory · Physics 2023-12-05 C. R. Ding , X. Zhang , J. M. Yao , P. Ring , J. Meng

Nuclear transition matrix elements (NTME) for the neutrinoless double beta decay of $^{70}$Zn, $^{80}$Se and $^{82}$Se nuclei are calculated within the framework of the deformed shell model based on Hartree-Fock states. For $^{70}$Zn, jj44b…

Nuclear Theory · Physics 2015-06-22 R. Sahu , V. K. B. Kota

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 use the generator-coordinate method with realistic shell-model interactions to closely approximate full shell-model calculations of the matrix elements for the neutrinoless double-beta decay of $^{48}$Ca, $^{76}$Ge, and $^{82}$Se. We…

Nuclear Theory · Physics 2017-11-22 C. F. Jiao , J. Engel , J. D. Holt

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 2010-04-06 A. S. Barabash

The evaluation of the nuclear matrix elements (NME) of the two-neutrino double beta ($2\nu\beta\beta$) decay and neutrinoless double beta ($0\nu\beta\beta$) decay using the proton-neutron quasiparticle random-phase approximation (pnQRPA) is…

Nuclear Theory · Physics 2009-11-10 Jouni Suhonen

Most uncertainties regarding the theoretical study of the neutrinoless double-beta decay are related to the accuracy of the nuclear matrix elements that appear in the expressions of the lifetimes. We calculate the nuclear matrix elements…

Nuclear Theory · Physics 2015-06-23 Andrei Neacsu , Mihai Horoi

Here, we study the neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay between the ground state and the first $2^+$ state of $^{76}\mbox{Ge} \rightarrow {}^{76}\mbox{Se}$, $^{82}\mbox{Se} \rightarrow{}^{82}\mbox{Kr}$, $^{130}\mbox{Te}…

Nuclear Theory · Physics 2023-01-06 J. Ferretti , R. Magana Vsevolodovna , J. Kotila , E. Santopinto

Nuclear matrix elements (NMEs) for neutrinoless double beta decays (DBDs) are required for studying neutrino physics beyond the standard model by DBD. The experimental spin-dipole (SD) giant resonance energy and the SD strength are shown…

Nuclear Theory · Physics 2022-02-23 H. Ejiri , L. Jokiniemi , J. Suhonen

Large-scale shell-model calculations have been performed for the study of two neutrino double-beta ($2\nu\beta\beta$) decay in $^{82}$Se, $^{94}$Zr, $^{108}$Cd, $^{124}$Sn, $^{128}$Te, $^{130}$Te, $^{136}$Xe, and $^{150}$Nd. We have…

Nuclear Theory · Physics 2023-12-07 Deepak Patel , Praveen C. Srivastava , V. K. B. Kota , R. Sahu