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We have calculated rates of $\beta^{-}$ decay to both continuum and bound states separately for some fully ionized (bare) atoms in the mass range A $\approx$ 60-240. One of the motivations of this work is that the previous theoretical…

Nuclear Theory · Physics 2019-12-25 Arkabrata Gupta , Chirashree Lahiri , S. Sarkar

The proton-neutron monopole Lipkin model, which exhibits some properties which are relevant for those double beta decay ($\beta \beta$) transitions mediated by the Fermi matrix elements, is solved exactly in the proton-neutron…

Nuclear Theory · Physics 2008-11-26 Jorge G. Hirsch , Peter O. Hess , Osvaldo Civitarese

An exactly solvable model suitable for the description of single and double-beta decay processes of the Fermi-type is introduced. The model is equivalent to the exact shell-model treatment of protons and neutrons in a single j-shell. Exact…

Nuclear Theory · Physics 2008-11-26 Jorge G. Hirsch , Peter O. Hess , Osvaldo Civitarese

Nuclear $\beta$ decay is a key element of the astrophysical rapid neutron capture process ($r$-process). In this paper, we present state-of-the-art global $\beta$-decay calculations based on the quantified relativistic nuclear energy…

Nuclear Theory · Physics 2025-11-20 A. Ravlić , Y. Saito , W. Nazarewicz

The pairing properties of the neutrinoless double-$\beta$ decay candidate $^{116}$Cd have been investigated. Measurements of the two-neutron removal reactions on isotopes of $^{114,116}$Cd have been made in order to identify 0$^+$ strength…

Starting from a manifestly Lorentz-invariant chiral Lagrangian, we present a model-free prediction for the transition amplitude of the process $nn\rightarrow pp e^-e^-$ induced by light Majorana neutrinos, which is a key process of the…

Nuclear Theory · Physics 2024-06-21 Y. L. Yang , P. W. Zhao

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

The nuclear matrix element (NME) of the neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. The reliable calculation of this NME…

Nuclear Theory · Physics 2021-09-15 J. Terasaki , Y. Iwata

We investigate neutrinoless double-beta decay ($0\nu\beta\beta$) in minimal extensions of the Standard Model of particle physics where gauge-singlet right-handed neutrinos give rise to Dirac and Majorana neutrino mass terms. We argue that…

High Energy Physics - Phenomenology · Physics 2024-10-28 W. Dekens , J. de Vries , D. Castillo , J. Menéndez , E. Mereghetti , V. Plakkot , P. Soriano , G. Zhou

The calculations of nuclear matrix elements of $0\nu\beta\beta$-decay is a challenge for nuclear physics. We are discussing here a model independent method, which could allow to test the calculations. The method is based on the…

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

A self-consistent calculation of nuclear matrix elements of the neutrinoless double beta decays (0nbb) of 76Ge, 82Se, 96Zr, 100Mo, 116Cd, 128Te, 130Te and 130Xe is presented in the framework of the renormalized quasiparticle random phase…

Nuclear Theory · Physics 2009-06-30 Fedor Simkovic , Amand Faessler , Herbert Muther , Vadim Rodin , Markus Stauf

A semimicroscopical approach is formulated to describe the direct nucleon decay of various giant resonances in intermediate and heavy mass spherical nuclei. The approach consists in: (i) the exact continuum-RPA calculations for amplitudes…

Nuclear Theory · Physics 2009-10-30 G. A. Chekomazov , S. E. Muraviev , M. H. Urin

The self-consistent quasiparticle random-phase approximation (QRPA) approach is formulated in the canonical single-nucleon basis of the relativistic Hatree-Fock-Bogoliubov (RHFB) theory. This approach is applied to study the isobaric analog…

Nuclear Theory · Physics 2017-04-12 Z. M. Niu , Y. F. Niu , H. Z. Liang , W. H. Long , J. Meng

The spherical QRPA method is used for the calculations of the $\beta$-decay properties of the neutron-rich nuclei in the region near the neutron magic numbers N=82 and N=126 which are important for determination of the r-process path. Our…

Nuclear Theory · Physics 2015-06-16 Dong-Liang Fang , B. Alex Brown , Toshio Suzuki

The pairing properties of the neutrinoless double beta decay $(0\nu2\beta)$ candidate $^{100}$Mo have been studied, along with its daughter $^{100}$Ru, to provide input for nuclear matrix element calculations relevant to the decay. The…

All existing positive results on two-neutrino double beta decay and two-neutrino double electron capture in different nuclei have been analyzed. Weighted average and recommended half-life values for $^{48}$Ca, $^{76}$Ge, $^{82}$Se,…

Nuclear Experiment · Physics 2020-10-01 Alexander Barabash

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

For the first time, the calculation of the nuclear matrix element of the double-$\beta$ decay of $^{100}$Mo, with and without the emission of two neutrinos, is performed in the framework of the nuclear shell model. This task is accomplished…

Nuclear Theory · Physics 2022-03-23 L. Coraggio , N. Itaco , G. De Gregorio , A. Gargano , R. Mancino , F. Nowacki

We develop the formalism for calculating the decay rate of neutrinoless double beta decay to the $2^+$ excited states within L-R symmetric model. We consider the effects from induced hadronic currents up to NLO. The QRPA method in a…

Nuclear Theory · Physics 2023-01-19 Dong-Liang Fang , Amand Faessler

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…