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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 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

We consider the neutrinoless double beta ($0\nu \beta \beta$) decay in the so-called $\nu$MSM, in which three right-handed neutrinos with masses below the electroweak scale are additionally introduced to the Standard Model. In this model…

High Energy Physics - Phenomenology · Physics 2016-11-16 Takehiko Asaka , Shintaro Eijima , Hiroyuki Ishida

A calculation of two-neutrino double-$\beta$ ($2\nu\beta\beta$) decay matrix elements within the interacting boson model (IBM) that is based on the nuclear density functional theory is presented. The constrained self-consistent mean-field…

Nuclear Theory · Physics 2022-04-06 Kosuke Nomura

We evaluate all nuclear matrix elements (NMEs) up to next-to-next-to leading order (N$^2$LO) in chiral effective field theory ($\chi$EFT) for the neutrinoless double-beta ($0\nu\beta\beta$) decay of the nuclei most relevant for experiments,…

Nuclear Theory · Physics 2025-08-22 Daniel Castillo , Lotta Jokiniemi , Pablo Soriano , Javier Menéndez

In this article we report the results of detailed interacting boson model calculations with configuration mixing for the neutron-deficient Pb isotopes. Calculated energy levels and $B(E2)$ values for $^{188-196}$Pb are discussed and some…

Nuclear Theory · Physics 2008-11-26 V. Hellemans , S. De Baerdemacker , K. Heyde

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

We introduce a method for isospin restoration in the calculation of nuclear matrix elements (NME) for $0\nu\beta\beta$ and $2\nu\beta\beta$ decay within the framework of interacting boson model (IBM-2). With this method, we calculate NME…

Nuclear Theory · Physics 2015-06-30 J. Barea , J. Kotila , F. Iachello

We present the results of a National Science Foundation (NSF) Project Scoping Workshop, the purpose of which was to assess the current status of calculations for the nuclear matrix elements governing neutrinoless double-beta decay and…

The neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay and the double Gamow-Teller (DGT) transition are investigated with the state-of-the-art Relativistic Configuration-interaction Density functional theory. A strong linear correlation…

Nuclear Theory · Physics 2024-06-25 Y. K. Wang , P. W. Zhao , J. Meng

Background: The interacting boson model (IBM) has been used extensively to calculate the matrix elements governing neutrinoless double-beta decay. Studies within other models indicate that a good description of neutron-proton pairing is…

Nuclear Theory · Physics 2017-12-13 P. Van Isacker , J. Engel , K. Nomura

A neutrino mass matrix is considered under conditions of a CP invariance and a small reactor mixing $\theta_{13}$ angle. Absolute mass values for three neutrinos are evaluated for normal and inverted hierarchy spectra on the ground of data…

High Energy Physics - Phenomenology · Physics 2009-05-20 V. V. Khruschov

The $(\beta ^{-}\beta ^{-})_{0\nu}$ decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes for the $0^{+}\to 0^{+}$ transition is studied in the Projected Hartree-Fock-Bogoliubov framework. In…

Nuclear Theory · Physics 2009-11-13 K. Chaturvedi , R. Chandra , P. K. Rath , P. K. Raina , J. G. Hirsch

We investigate neutrinoless double-beta decay ($0\nu\beta\beta$) in the minimal extension of the standard model of particle physics, the $\nu$SM, where gauge-singlet right-handed neutrinos give rise to Dirac and Majorana neutrino mass…

High Energy Physics - Phenomenology · Physics 2023-03-09 Wouter Dekens , Jordy de Vries , Emanuele Mereghetti , Javier Menéndez , Pablo Soriano , Guanghui Zhou

The motivation for the search for $0\nu\beta\beta$ decay is briefly reviewed. It is stressed that the exchange of light Majorana neutrinos is not the only possible mechanism of the decay. The link between lepton number and lepton flavor…

High Energy Physics - Phenomenology · Physics 2008-07-11 Petr Vogel

We investigate the possibility to discriminate between different pairs of CP non-conserving mechanisms inducing the neutrinoless double beta $\betabeta$-decay by using data on $\betabeta$-decay half-lives of nuclei with largely different…

High Energy Physics - Phenomenology · Physics 2015-06-12 A. Meroni , S. T. Petcov , F. Simkovic

We consider the seesaw model with two right-handed neutrinos $N_1$ and $N_2$ which masses are hierarchical, and investigate their contribution to the neutrinoless double beta ($0 \nu \beta \beta$) decay. Although the lepton number is broken…

High Energy Physics - Phenomenology · Physics 2021-06-23 Takehiko Asaka , Hiroyuki Ishida , Kazuki Tanaka

The neutrinoless double-$\beta$ decay is a hypothetical rare nuclear decay, which can be used for determining the neutrino-mass scale. The scheme to use this decay for determining the neutrino-mass scale is one of few limited methods…

Nuclear Theory · Physics 2019-01-23 J. Terasaki

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

Various mechanisms may contribute to neutrinoless double beta decay in the left-right symmetric model. The interference between these mechanisms also contribute to the overall decay rate. The analysis of the contributions of these…

Nuclear Theory · Physics 2020-04-02 Fahim Ahmed , Mihai Horoi
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