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We have developed a formalism, based on the Fourier-Bessel expansion, that facilitates the evaluation of matrix elements involving nucleon recoil operators, such as appear in serveral exotic forms of neutrinoless double beta decay…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. Barbero , J. M. Cline , F. Krmpotic , D. Tadic

Large-scale shell model calculations including two major shells are carried out, and the ingredients of nuclear matrix element for two-neutrino double beta decay are investigated. Based on the comparison between the shell model calculations…

Nuclear Theory · Physics 2019-03-26 Y. Iwata , N. Shimizu , Y. Utsuno , M. Honma , T. Abe , T. Otsuka

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 present results for $\beta$-decay half-lives based on a new recipe for calculation of phase space factors recently introduced. Our study includes $fp$-shell and heavier nuclei of experimental and astrophysical interests. The…

Nuclear Theory · Physics 2019-03-01 Jameel-Un Nabi , Mavra Ishfaq , Ovidiu Nitescu , Mihail Mirea , Sabin Stoica

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

We have recently developed a nuclear model, which is a natural extension of the $pn$-QRPA model, specially designed to describe double charge exchange (DCE) processes generated by two-body DCE transition operators. It is based on the…

Nuclear Theory · Physics 2025-02-26 C. De Conti , V. dos S. Ferreira , A. R. Samana , C. A. Barbero , F. Krmpotić

A possible model independent test of the theoretically calculated nuclear matrix elements of $0\nu\beta\beta$-decay is proposed. The test can be accomplished if $0\nu\beta\beta$-decay of three (or more) nuclei is observed. The selection of…

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

The upper limit on the mass of the Majorana neutrino, extracted from the limits on the nonobservation of the neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay, is hampered by uncertainties in the matrix elements of the transition…

Nuclear Theory · Physics 2025-09-10 J. Terasaki , O. Civitarese

In this work, we calculate the matrix elements of $0\nu\beta\beta$-decay of $^{150}$Nd with the deformed pn-QRPA method. We adopted the approach introduced by Rodin, Faessler [Phys. Rev. C84, 014322 (2011)] and Simkovic {\it et. al.} [Phys.…

Nuclear Theory · Physics 2015-10-07 Dong-Liang Fang , Amand Faessler , Fedor Simkovic

The $\beta$-decay half-lives of neutron-rich nuclei with $20 \leqslant Z \leqslant 50$ are systematically investigated using the newly developed fully self-consistent proton-neutron quasiparticle random phase approximation (QRPA), based on…

Nuclear Theory · Physics 2013-05-27 Z. M. Niu , Y. F. Niu , H. Z. Liang , W. H. Long , T. Nikšić , D. Vretenar , J. Meng

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

As shown in Ref.\cite{Rod09}, the Fermi nuclear matrix element $M^{0\nu}_F$ of neutrinoless double beta ($0\nu\beta\beta$) decay can be reconstructed if one is able to measure the isospin-forbidden single Fermi transition matrix element…

Nuclear Theory · Physics 2011-03-28 Vadim Rodin , Amand Faessler

Within the PHFB approach, the $0^{+}\rightarrow 2^{+}$ transition of two neutrino double-$\beta $ decay of $^{94,96}$Zr, $^{100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes is studied employing wave functions…

Nuclear Theory · Physics 2017-10-03 Yash Kaur Singh , R. Chandra , P. K. Raina , P. K. Rath

The two neutrino double beta $(\beta ^{-}\beta ^{-})_{2\nu}$ decay of $ ^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd nuclei for the $0^{+}\to 0^{+}$ transition is studied in the PHFB model in conjunction…

Nuclear Theory · Physics 2008-06-06 R. Chandra , P. K. Rath , P. K. Raina , J. G. Hirsch

In the present work, we examine the role of central (C), spin-orbit (SO) and tensor (T) components of two-nucleon interaction in the nuclear matrix elements (NMEs) of the two-neutrino double beta decay ($2\nu\beta\beta$) and the light…

Nuclear Theory · Physics 2020-03-12 Shahariar Sarkar , Pawan Kumar , Kanhaiya Jha , P. K. Raina

Neutrinos are perhaps the most elusive known particles in the universe. We know they have some nonzero mass, but unlike all other particles, the absolute scale remains unknown. In addition, their fundamental nature is uncertain; they can…

Nuclear Theory · Physics 2023-07-31 A. Belley , T. Miyagi , S. R. Stroberg , J. D. Holt

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

We investigate two-neutrino double beta decay ($2\nu\beta\beta$) in chiral effective field theory. We find contributions from weak magnetism and double-weak pion-exchange at next-to-leading-order in the chiral power counting. We discuss the…

High Energy Physics - Phenomenology · Physics 2024-12-19 Saad el Morabit , Ryan Bouabid , Vincenzo Cirigliano , Jordy de Vries , Lukáš Gráf , Emanuele Mereghetti

Neutrinoless double-beta ($0\nu\beta\beta$) decay is a heretofore unobserved process which, if observed, would imply that neutrinos are Majorana particles. Interpretations of the stringent experimental constraints on $0\nu\beta\beta$-decay…

Neutrinoless double beta decay ($0\nu\beta\beta$) is a yet unobserved nuclear process which would demonstrate Lepton Number violation, a clear evidence of beyond Standard Model physics. The process two neutrino double beta decay…