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The existing calculations of the nuclear matrix elements of the neutrinoless double $\beta$-decay differ by about a factor three. This uncertainty prevents quantitative interpretation of the results of experiments searching for this…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. M. Bilenky , J. A. Grifols

$\beta$-decay half-lives of neutron-rich nuclei around $N=82$ are key data to understand the $r$-process nucleosynthesis. We performed large-scale shell-model calculations in this region using a newly constructed shell-model Hamiltonian,…

Nuclear Theory · Physics 2021-03-01 Noritaka Shimizu , Tomoaki Togashi , Yutaka Utsuno

The nuclear ground state properties of 67 80As nuclei have been investigated within the framework of relativistic mean field (RMF) approach. The RMF model with density dependent (DDME2) interaction is utilized for the calculation of…

Nuclear Theory · Physics 2024-10-11 Jameel-Un Nabi , Abdul Kabir , Wajeeha Khalid , Syeda Anmol Rida , Izzah Anwaar

The Gamow-Teller (GT) transition is inarguably one of the most important nuclear weak transitions of the spin-isosopin $\sigma\tau$ type. It has many applications in nuclear and astrophysics. These include, but are not limited to, r-process…

Nuclear Theory · Physics 2015-06-22 Sadiye Cakmak , Jameel-Un Nabi , Tahsin Babacan , Cevad Selam

Background: Direct determination of the neutrino mass through double-$\beta$ decay is at the present time one of the most important areas of experimental and theoretical research in nuclear and particle physics. Purpose: We calculate…

Nuclear Theory · Physics 2013-01-18 J. Barea , J. Kotila , F. Iachello

We calculate the nuclear matrix element for the two-neutrino $\beta\beta$ decay of $^{136}$Xe into the first excited $0^+$ state of $^{136}$Ba. We use different many-body methods: the quasiparticle random-phase approximation (QRPA)…

Neutrinoless $\beta\beta$ decay nuclear matrix elements calculated with the shell model and energy-density functional theory typically disagree by more than a factor of two in the standard scenario of light-neutrino exchange. In contrast,…

Nuclear Theory · Physics 2018-04-18 Javier Menéndez

Gamow-Teller(GT) resonances in finite nuclei are studied in a fully consistent relativistic random phase approximation (RPA) framework. A relativistic form of the Landau-Migdal contact interaction in the spin-isospin channel is adopted.…

Nuclear Theory · Physics 2009-11-10 Zhong-Yu Ma , Bao-Qiu Chen , Nguyen Van Giai , Toshio Suzuki

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

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 $\beta$-decay properties of the neutron-deficient nuclei $^{25}$Si and $^{26}$P have been investigated at the GANIL/LISE3 facility by means of charged-particle and $\gamma$-ray spectroscopy. The decay schemes obtained and the…

An isospin-selfconsistent pn-continuum-QRPA approach is formulated and applied to describe the Gamow-Teller strength distributions for $\beta\beta$-decaying open-shell nuclei. The calculation results obtained for the pairs of nuclei…

Nuclear Theory · Physics 2011-04-05 S. Yu. Igashov , Vadim Rodin , Amand Faessler , M. H. Urin

We evaluate the leading-order short-range nuclear matrix element for the neutrinoless double-beta ($0\nu\beta\beta$) decay of the nuclei most relevant for experiments, including $^{76}$Ge, $^{100}$Mo, $^{130}$Te and $^{136}$Xe. In our…

Nuclear Theory · Physics 2021-12-06 Lotta Jokiniemi , Pablo Soriano , Javier Menéndez

Gamow-Teller strength distributions, beta-decay half-lives, and beta-delayed neutron emission are investigated in neutron-rich Zr and Mo isotopes within a deformed quasiparticle random-phase approximation. The approach is based on a…

Nuclear Theory · Physics 2014-11-21 P. Sarriguren , J. Pereira

The theoretical evaluation of major nuclear structure effects on the asymmetry of allowed Gamow-Teller beta-decay rates in light mirror nuclei is presented. The calculations are performed within the shell model, using empirical…

Nuclear Theory · Physics 2009-11-07 N. A. Smirnova , C. Volpe

Neutrinoless double-beta ($0\nu\beta\beta$) decay and the standard two-neutrino double-beta ($2\nu\beta\beta$) decay of $^{98}$Mo have been studied. The double-beta decay $Q$-value has been determined as $Q_{\beta\beta}=113.668(68)$ keV…

Nuclear Experiment · Physics 2022-03-30 D. A. Nesterenko , L. Jokiniemi , J. Kotila , A. Kankainen , Z. Ge , T. Eronen , S. Rinta-Antila , J. Suhonen

$\beta$-decay properties of nuclei are investigated within the relativistic nuclear energy density functional framework by varying the temperature and density, conditions relevant to the final stages of stellar evolution. Both thermal and…

Nuclear Theory · Physics 2021-09-06 A. Ravlic , E. Yuksel , Y. F. Niu , N. Paar

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

Neutrinoless double beta decay ($0\nu\beta\beta$) is a crucial test for lepton number violation. Observation of this process would have fundamental implications for neutrino physics, theories beyond the Standard Model and cosmology.…

High Energy Physics - Phenomenology · Physics 2020-12-01 Frank F. Deppisch , Lukas Graf , Francesco Iachello , Jenni Kotila

We study Gamow-Teller strength distributions in the neutron-deficient even isotopes (184-194)Pb in a search for signatures of deformation. The microscopic formalism used is based on a deformed quasiparticle random phase approximation (QRPA)…

Nuclear Theory · Physics 2009-11-11 P. Sarriguren , O. Moreno , R. Alvarez-Rodriguez , E. Moya de Guerra
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