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We use diagrammatic many-body perturbation theory in combination with low-momentum interactions derived from chiral effective field theory to construct effective shell-model transition operators for the neutrinoless double-beta decay of…

Nuclear Theory · Physics 2013-07-23 Jason D. Holt , Jonathan Engel

Study of the neutrinoless $\beta\beta$ decay allows us to put a stringent limit on the effective neutrino Majorana mass, a quantity of fundamental importance. To test our ability to evaluate the nuclear matrix elements that govern the decay…

Nuclear Theory · Physics 2007-05-23 Petr Vogel

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

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

The nuclear matrix elements (NME) and phase space factors (PSF) entering the half-life formulas of the double-beta decay (DBD) process are two key quantities whose accurate computation still represents a challenge. In this paper we propose…

Nuclear Theory · Physics 2019-09-04 Sabin Stoica

The detection of neutrinoless double-beta decay will establish the Majorana nature of neutrinos. In addition, if the nuclear matrix elements of this process are reliably known, the experimental lifetime will provide precious information…

High Energy Physics - Phenomenology · Physics 2016-05-18 J. Menéndez

The zero neutrino mode of the double beta decay in heavy deformed nuclei is investigated in the framework of the pseudo SU(3) model, which has provided an accurate description of collective nuclear structure and predicted half-lives for the…

Nuclear Theory · Physics 2009-10-28 Jorge G. Hirsch , O. Castaños , P. O. Hess

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

We use diagrammatic perturbation theory to construct an effective shell-model operator for the neutrinoless double-beta decay of 82Se. The starting point is the same Bonn-C nucleon-nucleon interaction that is used to generate the…

Nuclear Theory · Physics 2009-08-03 Jonathan Engel , Gaute Hagen

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

The neutrinoless double $\beta$-decay of nuclei is reviewed. We discuss neutrino mixing and 3x3 PMNS neutrino mixing matrix. Basic theory of neutrinoless double $\beta$-decay is presented in some details. Results of different calculations…

High Energy Physics - Phenomenology · Physics 2010-11-23 S. M. Bilenky

We study in this letter the double beta decay of 136Xe with emission of two neutrinos which has been recently measured by the EXO-200 collaboration. We use the same shell model framework, valence space, and effective interaction that we…

Nuclear Theory · Physics 2015-06-03 Etienne Caurier , Frederic Nowacki , Alfredo Poves

In this work we report on the effects of short-range correlations upon the matrix elements of neutrinoless double beta decay. We focus on the calculation of the matrix elements of the neutrino-mass mode of neutrinoless double beta decays of…

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

A new evaluation of 2beta-decay half lives and their systematics is presented. These data extend the previous evaluation and include the analysis of all recent measurements. The nuclear matrix elements for 2beta-decay transitions in 12…

Nuclear Theory · Physics 2014-07-09 Boris Pritychenko

Neutrinoless double-$\beta$ decay is of fundamental importance for determining the neutrino mass. Although double electron ($\beta^-\beta^-$) decay is the most promising mode, in very recent years interest in double positron…

Nuclear Theory · Physics 2015-09-18 J. Barea , J. Kotila , F. Iachello

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

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

We devise a framework based on the generalized contact formalism that combines the nuclear shell model and quantum Monte Carlo methods and compute the neutrinoless double-beta decay of experimentally relevant nuclei, including $^{76}$Ge,…

Nuclear Theory · Physics 2022-12-21 Ronen Weiss , Pablo Soriano , Alessandro Lovato , Jaview Menendez , R. B. Wiringa

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

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…