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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

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

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

Nuclear matrix elements (NMEs) for two-neutrino double-beta decay ($2\nu\beta\beta$) are studied in the framework of relativistic nuclear energy density functional (REDF). The properties of nuclei involved in the decay are obtained using…

Nuclear Theory · Physics 2022-07-13 N. Popara , A. Ravlić , N. Paar

A qualitative difference in the running sum for the nuclear matrix element of the two-neutrino double-$\beta$ decay of $^{136}$Xe was found four years ago between quasiparticle random-phase approximation (QRPA) and shell model calculations.…

Nuclear Theory · Physics 2023-07-19 J. Terasaki

In this work, with restored isospin symmetry, we evaluated the neutrinoless double beta decay nuclear matrix elements for $^{76}$Ge, $^{82}$Se, $^{130}$Te, $^{136}$Xe and $^{150}$Nd for both the light and heavy neutrino mass mechanisms…

Nuclear Theory · Physics 2018-05-02 Dong-Liang Fang , Amand Faessler , Fedor Šimkovic

The Thermal Quasiparticle Random-Phase Approximation is combined with the Skyrme energy density functional method (Skyrme-TQRPA) to study the response of a hot nucleus to an external perturbation. For the sample nuclei, $^{56}$Fe and…

Nuclear Theory · Physics 2016-07-20 Alan A. Dzhioev , A. I. Vdovin , G. Martínez-Pinedo , J. Wambach , Ch. Stoyanov

We develop a new framework of the deformed quasiparticle-random-phase approximation (QRPA) where the Skyrme density functional and the density-dependent pairing functional are consistently treated. Numerical applications are carried out for…

Nuclear Theory · Physics 2009-11-23 Kenichi Yoshida , Nguyen Van Giai

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

In this talk I will review the "state of the art" of the calculations of the nuclear matrix elements (NME) of the neutrinoless double beta decays for the nuclei 48Ca, 76Ge, 82Se, 124Sn, 128Te, 130Te and 136Xe in the framework of the…

Nuclear Theory · Physics 2008-09-15 J. Menendez , A. Poves , E. Caurier , F. Nowacki

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

A self-consistent calculation of nuclear matrix elements of the neutrinoless double beta decays (0nbb) of 76Ge, 82Se, 96Zr, 100Mo, 116Cd, 128Te, 130Te and 130Xe is presented in the framework of the renormalized quasiparticle random phase…

Nuclear Theory · Physics 2009-06-30 Fedor Simkovic , Amand Faessler , Herbert Muther , Vadim Rodin , Markus Stauf

The Hartree-Fock-Bogolyubov (HFB) plus proton-neutron quasiparticle random phase approximation (pnQRPA) approach based on Skyrme interaction is applied to study the nuclear $\beta^+$/EC decay for nuclei near the proton magic numbers $Z=$20,…

Nuclear Theory · Physics 2017-10-05 Feng Wu , D. Wu , C. L. Bai , H. Q. Zhang , X. Z. Zhang , F. R. Xu

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

In this article we analyze the nuclear matrix elements (NME) of the neutrinoless double beta decays of the nuclei 48-Ca, 76-Ge, 82-Se, 124-Sn, 130-Te and 136-Xe in the framework of the Interacting Shell Model (ISM). We study the relative…

Nuclear Theory · Physics 2009-11-13 J. Menéndez , A. Poves , E. Caurier , F. Nowacki

Nuclear matrix elements of the neutrinoless double beta decays of 96Zr, 100Mo, 116Cd, 128Te, 130Te and 136Xe are calculated for the light-neutrino exchange mechanism by using the proton-neutron quasiparticle random-phase approximation…

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

Nuclear matrix elements (NMEs) for neutrinoless double-beta ($0\nu\beta\beta$) decay in candidate nuclei play a crucial role in interpreting results from current experiments and in designing future ones. Accurate NME values serve as…

Nuclear Theory · Physics 2024-08-08 C. R. Ding , Gang Li , J. M. Yao

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

In this work, we have studied the $2\nu\beta\beta$ decay of $^{76}$Ge and $^{96}$Zr isotopes utilizing large-scale shell-model calculations. The GWBXG effective interaction has been employed in the calculation of $2\nu\beta\beta$-decay…

Nuclear Theory · Physics 2024-11-25 Deepak Patel , Praveen C. Srivastava , Jouni Suhonen

The $\lambda$ and $m_{\beta\beta}$ mechanisms of neutrinoless double beta decay ($0\nu\beta\beta$) occur with light neutrino exchange via $W_L-W_R$, and $W_L-W_L$ mediation, respectively. In the present study, we calculate the nuclear…

Nuclear Theory · Physics 2020-09-23 Shahariar Sarkar , Y. Iwata , P. K. Raina