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Observation of neutrinoless double beta decay, a lepton number violating process that has been proposed to clarify the nature of neutrino masses, has spawned an enormous world-wide experimental effort. Relating nuclear decay rates to…

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

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

In this article we present a more detailed version of our recent Rapid Communication [Phys. Rev. C 90, 051301(R) (2014)] where we calculate the nuclear matrix elements for neutrinoless double-$\beta$ decay of $^{76}$Ge. For the calculations…

Nuclear Theory · Physics 2016-05-25 R. A. Sen'kov , M. Horoi

Pairing fluctuations are self-consistently incorporated on the same footing as the quadrupole deformations in present state of the art calculations including particle number and angular momentum conservation as well as configuration mixing.…

Nuclear Theory · Physics 2015-06-18 Nuria López Vaquero , J. Luis Egido , Tomás R. Rodríguez

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…

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

The nuclear matrix elements (NMEs) of the neutrinoless and two-neutrino double-$\beta$ decays of $^{48}$Ca are calculated by the quasiparticle random-phase approximation (QRPA) with emphasis on the consistency examinations of this…

Nuclear Theory · Physics 2018-03-07 J. Terasaki

Searches of neutrinoless double-beta decay require information on the value of the nuclear matrix elements that rule the process to plan and interpret experiments. At present, however, even the matrix elements obtained with the most…

Nuclear Theory · Physics 2018-08-15 Javier Menéndez , Noritaka Shimizu , Kentaro Yako

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

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

The connection of neutrino physics with neutrinoless double beta decay is reviewed. After presenting the current status of the PMNS matrix and the theoretical background of neutrino mass and lepton mixing, we will summarize the various…

High Energy Physics - Phenomenology · Physics 2015-06-05 Werner Rodejohann

A comprehensive analysis of the structure of the nuclear matrix elements (NMEs) of neutrinoless double beta-minus decays to the 0^+ ground and first excited states is performed in terms of the contributing multipole states in the…

Nuclear Theory · Physics 2016-04-07 Juhani Hyvärinen , Jouni Suhonen

We have proposed in a series of previous papers a method to determine the effective axial-vector current coupling and the strength of the isoscalar proton-neutron pairing interaction for calculating the nuclear matrix elements of the…

Nuclear Theory · Physics 2019-10-02 J. Terasaki , Y. Iwata

We present the first ab initio calculations of neutrinoless double beta decay matrix elements in $A=6$-$12$ nuclei using Variational Monte Carlo wave functions obtained from the Argonne $v_{18}$ two-nucleon potential and Illinois-7…

Nuclear Theory · Physics 2018-01-24 S. Pastore , J. Carlson , V. Cirigliano , W. Dekens , E. Mereghetti , R. B. Wiringa

Results for neutrino flavor oscillations and neutrino mixing mechanisms, obtained from the analysis of the Sudbury Neutrino Observatory (SNO), the SuperKamiokande (SK), CHOOZ, KamLAND and WMAP data, are used to calculate the effective…

Nuclear Theory · Physics 2008-11-26 O. Civitarese , J. Suhonen

Neutrinoless double beta decay ($\znbb$) induced by superparticle exchange is investigated. Such a supersymmetric (SUSY) mechanism of $\znbb$ decay arises within SUSY theories with R-parity non-conservation (\rp). We consider the minimal…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Hirsch , H. V. Klapdor-Kleingrothaus , S. G. Kovalenko

Experimental studies for nuclear matrix elements (NMEs) for neutrinoless double beta decays (DBDs) and astro-neutrino inverse beta decays (IBDs) are crucial for neutrino studies beyond the standard model and the astro neutrino reactions…

Nuclear Experiment · Physics 2023-07-19 Hiroyasu Ejiri

Neutrino nature and absolute mass scale are major questions in particle physics which cannot be addressed by the present neutrino oscillation program. To answer these two questions, several neutrinoless double beta decay experiments are…

High Energy Physics - Experiment · Physics 2010-02-26 Marcos Dracos

Neutrinoless double beta decay is one of the most powerful tools to set the neutrino mass absolute scale and establish whether the neutrino is a Majorana particle. After a summary of the neutrinoless double beta decay phenomenology, the…

Nuclear Experiment · Physics 2008-11-26 A. Nucciotti