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The relativistic local density approximation (LDA) for the Coulomb exchange functional in nuclear systems is presented. This approximation is composed of the well-known Slater approximation in the non-relativistic scheme and the corrections…

Nuclear Theory · Physics 2013-04-02 Huai-Qiang Gu , Haozhao Liang , Wen Hui Long , Nguyen Van Giai , Jie Meng

Roles of antinucleon degrees of freedom in the relativistic random phase approximation(RPA) are investigated. The energy-weighted sum of the RPA transition strengths is expressed in terms of the double commutator between the excitation…

Nuclear Theory · Physics 2015-12-14 Haruki Kurasawa , Toshio Suzuki

This brief note is to point out that the recent measurements at GSI and RIKEN of the superallowed Gamow-Teller transition in the doubly magic closed-shell nucleus $^{100}$Sn could give an indication for a possibly important {\it…

Nuclear Theory · Physics 2024-10-22 Mannque Rho , Long-Qi Shao

The Gamow-Teller strength (GT) distributions and electron capture rates on 55Co and 56Ni have been calculated using the proton-neutron quasiparticle random phase approximation theory. We calculate these weak interaction mediated rates over…

Nuclear Theory · Physics 2015-05-30 Jameel-Un Nabi , Muneeb-ur Rahman

We establish a set of exact sum rules that relate the interatomic force constants to the frequency-dependent electromagnetic susceptibility of a solid or molecule, thereby generalizing the long-established principles of rototranslational…

Materials Science · Physics 2026-05-14 Massimiliano Stengel , Miquel Royo , Emilio Artacho

The $f$ sum rule is derived in a non-relativistic frame and connected, via Ward Identities, to the low energy Thomson scattering. A generalisation to isospin symmetry in the nuclear case is discussed and linked to the Meson Exchange…

Nuclear Theory · Physics 2009-11-06 Rinaldo Cenni

We study the two-neutrino double-beta decay in 76Ge, 116Cd, 128Te, 130Te, and 150Nd, as well as the two Gamow-Teller branches that connect the double-beta decay partners with the states in the intermediate nuclei. We use a theoretical…

Nuclear Theory · Physics 2017-01-06 P. Sarriguren , O. Moreno , E. Moya de Guerra

We study relativistic nuclear matter in the $\sigma - \omega$ model including the ring-sum correlation energy. The model parameters are adjusted self-consistently to give the canonical saturation density and binding energy per nucleon with…

Nuclear Theory · Physics 2008-11-26 J. A. McNeil , C. E. Price , J. R. Shepard

How to disentangle the possible {\it genuine} quenching of $g_A$ caused by scale anomaly of QCD parameterized by the scale-symmetry-breaking quenching factor $q_{ssb}$ from nuclear correlation effects is described. This is done by matching…

Nuclear Theory · Physics 2023-07-19 Mannque Rho

Gamow-Teller(GT) transitions in the $\beta$ decays of $^9$Li and $^{11}$Li are investigated with theoretical calculations of antisymmetrized molecular dynamics. The calculated $B(GT)$ values are small for transitions to low-lying states in…

Nuclear Theory · Physics 2010-04-14 Yoshiko Kanada-En'yo

Exact diagonalizations with a minimally modified realistic force lead to detailed agreement with measured level schemes and electromagnetic transitions in $^{48}$Ca, $^{48}$Sc, $^{48}$Ti, $^{48}$V, $^{48}$Cr and $^{48}$Mn. Gamow-Teller…

Nuclear Theory · Physics 2009-10-22 E. Caurier , A. P. Zuker , A. Poves , G. Martinez-Pinedo

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

In a recent study by Cole et al., it was concluded that QRPA calculations show larger deviations and overestimate the total experimental Gamow-Teller (GT) strength. It was also concluded that QRPA calculated electron capture rates exhibit…

Nuclear Theory · Physics 2025-04-28 Muhammad Majid , Jameel-Un Nabi , Muhammad Riaz

In astrophysical environments, allowed Gamow-Teller (GT) transitions are important, particularly for $\beta$-decay rates in presupernova evolution of massive stars, since they contribute to the fine-tuning of the lepton-to-baryon content of…

Nuclear Theory · Physics 2015-06-12 Jameel-Un Nabi , Sabin Stoica

Spectrum shape measurements in nuclear $\beta$ decay can be used to test physics beyond the Standard Model with results being complementary to high-energy collider experiments. In particular, Beyond Standard Model sensitivity of the weak…

Nuclear Experiment · Physics 2024-04-05 L. De Keukeleere , D. Rozpedzik , N. Severijns , K. Bodek , L. Hayen , K. Lojek , M. Perkowski , S. Vanlangendonck

Electromagnetic and weak transitions tell us a great deal about the structure of atomic nuclei. Yet modeling transitions can be difficult: it is often easier to compute the ground state, if only as an approximation, than excited states. One…

Nuclear Theory · Physics 2020-09-21 Calvin W. Johnson , Ken A. Luu , Yi Lu

The ground-state properties of neutron-rich nuclear clusters in the inner crust of neutron stars are investigated within the Wigner-Seitz approximation using a relativistic mean-field framework. The radial Dirac equations are solved with an…

Nuclear Theory · Physics 2026-05-08 Jinzhe Zhang , Hong Shen , Ying Zhang , Jinniu Hu

Relativistic mean field (RMF) theory of nuclear matter with the isovector scalar mean field corresponding to the delta-meson [a_0(980)] is studied. While the delta-meson mean field vanishes in symmetric nuclear matter, it can influence…

Astrophysics · Physics 2009-10-30 S. Kubis , M. Kutschera

The isospin-symmetry breaking correction, denoted as $\delta_C$, is introduced for the first time within the shell-model framework to the nuclear matrix element of Gamow-Teller transitions. $\delta_C$ is separated into two components: the…

Nuclear Theory · Physics 2023-12-14 Latsamy Xayavong , Yeunhwan Lim

This study re examines the effect of nuclear deformation on the calculated Gamow Teller (GT) strength distributions of neutron deficient (178 192Hg, 185 194Pb and 196 206Po) nuclei. The nuclear ground state properties and shape parameters…

Solar and Stellar Astrophysics · Physics 2024-11-28 Jameel-Un Nabi , Tuncay Bayram , Muhammad Riaz , Asim Ullah , Anes Hayder , Sevki Senturk , Mahmut Boyukata
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