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We study neutrinoless double-beta decay in an effective field theory (EFT) for heavy nuclei, which are treated as a spherical core coupled to additional neutrons and/or protons. Since the low-energy constants of the EFT cannot be fitted to…

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 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

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

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

Accurate nuclear matrix elements (NMEs) for neutrinoless double beta decays of candidate nuclei are important for the design and interpretation of future experiments. Significant progress has been made in the modeling of these NMEs from…

Nuclear Theory · Physics 2021-01-12 J. M. Yao

The neutrinoless double $\beta$-decay is reviewed. Model independent evidence in favor of neutrino masses and mixing is briefly summarized. The data of the recent experiments on the search for $0\nu\beta\beta$-decay are presented and some…

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

The nuclear matrix element (NME) of the neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. The reliable calculation of this NME…

Nuclear Theory · Physics 2021-09-15 J. Terasaki , Y. Iwata

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

We decompose the neutrinoless double-beta decay matrix elements into sums of products over the intermediate nucleus with two less nucleons. We find that the sum is dominated by the J^pi=0^+ ground state of this intermediate nucleus for both…

Nuclear Theory · Physics 2015-06-23 B. A. Brown , M. Horoi , R. A. Sen'kov

Neutrinoless double beta decay has been the subject of intensive theoretical work as it represents the only practical approach to discovering whether neutrinos are Majorana particles or not, and whether lepton number is a conserved quantum…

Nuclear Theory · Physics 2013-03-04 R. G. H. Robertson

To extract information about the neutrino properties from the study of neutrinoless double-beta (0\nu\beta\beta) decay one needs a precise computation of the nuclear matrix elements (NMEs) associated with this process. Approaches based on…

Nuclear Theory · Physics 2013-08-06 Andrei Neacsu , Sabin Stoica , Mihai Horoi

Comprehensive description of the phenomenology of the $\beta\beta$ decay is given, with emphasis on the nuclear physics aspects. After a brief review of the neutrino oscillation results and of motivation to test the lepton number…

High Energy Physics - Phenomenology · Physics 2008-07-17 Petr Vogel

The neutrinoless double beta ($0\nu\beta\beta$) decay process could provide crucial information to determine the absolute scale of the neutrino masses, and it is the only one that can establish whether neutrino is a Dirac or a Majorana…

Nuclear Theory · Physics 2010-05-12 Mihai Horoi , Sabin Stoica

The nuclear transition matrix elements $M^{(0\nu)}$ for the neutrinoless double beta decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes in the case of $0^{+}\rightarrow 0^{+}$ transition are…

Nuclear Theory · Physics 2015-05-27 P. K. Rath , R. Chandra , K. Chaturvedi , P. K. Raina , J. G. Hirsch

Neutrinoless Double Beta Decay ($0\nu\beta\beta$) is presently the only known experiment to distinguisch between Dirac neutrinos, different from their antiparticles, and Majorana neutrinos, identical with their antiparticles. In addition…

Nuclear Theory · Physics 2015-05-27 Amand Faessler

We used a high-resolution magnetic spectrograph to study neutron pair-correlated $0^+$ states in $^{136}$Ba, produced via the $^{138}{\rm Ba}(p,t)$ reaction. In conjunction with state-of-the-art shell model calculations, these data…

We calculate the nuclear matrix elements (NMEs) for neutrinoless double-beta decays ($0\nu\beta\beta$) of $pf$-shell nuclei using the shell model (SM) and energy density functional (EDF) methods. The systematic study of non-physical decays…

Nuclear Theory · Physics 2014-08-20 Javier Menéndez , Tomas R. Rodríguez , Gabriel Martínez-Pinedo , Alfredo Poves

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

By making use of the isospin conservation by strong interaction, the Fermi $0\nu\beta\beta$ nuclear matrix element $M_{F}^{0\nu}$ is transformed to acquire the form of an energy-weighted double Fermi transition matrix element. This useful…

Nuclear Theory · Physics 2009-11-06 Vadim Rodin , Amand Faessler