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In nuclear $\beta$-decay calculations, the axial-vector coupling constant $g_A \approx 1.27$ usually needs to be quenched phenomenologically by a factor $q~\approx$ 0.75 to reproduce {the Gamow-Teller (GT) transition strengths}. We propose…

Nuclear Theory · Physics 2026-05-21 Bin-Lei Wang , Wan-Li Lv , Li-Gang Cao , Yi-Fei Niu , Gianluca Colo , Hiroyuki Sagawa , Feng-Shou Zhang

We use a deformed QRPA formalism to describe simultaneously the energy distributions of the single beta Gamow-Teller strength and the two-neutrino double beta decay matrix elements. Calculations are performed in a series of double beta…

The ground-state energies and radii for $^{4}$He, $^{16}$O, and $^{40}$Ca are calculated with the unitary-model-operator approach (UMOA). In the present study, we employ the similarity renormalization group (SRG) evolved nucleon-nucleon…

Nuclear Theory · Physics 2019-09-18 T. Miyagi , T. Abe , M. Kohno , P. Navratil , R. Okamoto , T. Otsuka , N. Shimizu , S. R. Stroberg

We use the recently proposed In-Medium Similarity Renormalization Group (IM-SRG) to carry out a systematic study of closed-shell nuclei up to $\nuc{Ni}{56}$, based on chiral two- plus three-nucleon interactions. We analyze the capabilities…

Nuclear Theory · Physics 2013-04-02 H. Hergert , S. K. Bogner , S. Binder , A. Calci , J. Langhammer , R. Roth , A. Schwenk

We develop a fully self-consistent subtracted second random-phase approximation for charge-exchange processes with Skyrme energy-density functionals. As a first application, we study Gamow-Teller excitations in the doubly-magic nucleus…

Nuclear Theory · Physics 2020-11-25 D. Gambacurta , M. Grasso , J. Engel

We first examine how T-matrix equivalence drives the flow of similarity renormalization group (SRG) evolved potential matrix elements to a universal form, with the ultimate goal of gaining insight into universality for three-nucleon forces.…

Nuclear Theory · Physics 2015-03-02 Brian Dainton

The description of structural and dynamical properties of nuclei starting from the fundamental interaction between nucleons has been a long-standing goal in nuclear physics. The ab initio No-Core Shell Model combined with the…

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

The effect of nuclear deformation on the energy distributions of the Gamow-Teller strength is studied in neutron-deficient Hg, Pb, and Po even isotopes. The theoretical framework is based on a self-consistent deformed Skyrme Hartree-Fock…

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

Methods based on Wilson's renormalization group have been successfully applied in the context of nuclear physics to analyze the scale dependence of effective nucleon-nucleon ($NN$) potentials, as well as to consistently integrate out the…

Nuclear Theory · Physics 2015-03-13 Sergio Szpigel , Varese S. Timoteo , Francisco de O. Duraes

In the present work the sensitivity of the QRPA calculation results to a realistic residual interaction is analyzed in the framework of the approach of Refs. \cite{Rum98,Rodin05}. Both Gamow-Teller (GT) and Fermi (F) \bb-decay amplitudes…

Nuclear Theory · Physics 2011-08-11 Vadim Rodin , Amand Faessler

The proportionality between differential cross sections at vanishing linear momentum transfer and Gamow-Teller transition strength, expressed in terms of the \textit{unit cross section} ($\hat{\sigma}_{GT}$) was studied as a function of…

The structure of weakly bound and unbound nuclei close to particle drip lines is one of the major science drivers of nuclear physics. A comprehensive understanding of these systems goes beyond the traditional configuration interactions…

Nuclear Theory · Physics 2017-11-29 Y. Jaganathen , R. M. Id Betan , N. Michel , W. Nazarewicz , M. Ploszajczak

$\mathbf{Background:}$ Realistic nucleon-nucleon interactions induce short-range correlations in nuclei. To solve the many-body problem unitary transformations like the similarity renormalization group (SRG) are often used to soften the…

Nuclear Theory · Physics 2015-08-19 Thomas Neff , Hans Feldmeier , Wataru Horiuchi

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 analyze nuclear matrix elements (NME) of neutrinoless double beta decay calculated for the Cadmium isotopes. Energy density functional methods including beyond mean field effects such as symmetry restoration and shape mixing are used.…

Nuclear Theory · Physics 2015-06-11 Tomás R. Rodríguez , Gabriel Martínez-Pinedo

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

Precision measurements of $\beta$-decay observables offer the possibility to search for deviations from the Standard Model. A possible discovery of such deviations requires accompanying first-principles calculations. Here we compute the…

We have measured the angular distribution of recoiling daughter nuclei emitted from the Gamow-Teller $\beta$ decay of spin-polarized $^{80}$Rb. The asymmetry of this distribution vanishes to lowest order in the Standard Model (SM) in pure…

A comparative study of the nuclear Gamow-Teller response (GTR) within conceptually different state-of-the-art approaches is presented. Three nuclear microscopic models are considered: (i) the recently developed charge-exchange relativistic…

Nuclear Theory · Physics 2015-06-18 E. Litvinova , B. A. Brown , D. -L. Fang , T. Marketin , R. G. T. Zegers