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The exchange part of energy density of the linear Dirac--Hartree--Fock (DHF) model in symmetric nuclear matter is evaluated in a parameter--free closed form and expressed as density functional. After the rearranging terms the relativistic…

Nuclear Theory · Physics 2021-04-27 S. Gmuca , K. Petrik , J. Leja

We report Hartree-Fock (HF) based pseudopotentials suitable for plane-wave calculations. Unlike typical effective core potentials, the present pseudopotentials are finite at the origin and exhibit rapid convergence in a plane-wave basis;…

Materials Science · Physics 2008-02-28 W. A. Al-Saidi , E. J. Walter , A. M. Rappe

The ground-state properties and shape evolution of even-even hafnium isotopes ranging from $N=80$ to the neutron dripline are thoroughly examined using Covariant Density Functional Theory (CDFT) with density-dependent effective…

Nuclear Theory · Physics 2025-09-17 Usuf Rahaman

We consider the uncertainty of theoretical calculations for a specific difference of the hyperfine intervals in the 1s and 2s states in a light hydrogen-like atom. For a number of crucial radiative corrections the result for hydrogen atom…

High Energy Physics - Phenomenology · Physics 2009-11-11 Savely G. Karshenboim , Vladimir G. Ivanov

The ground-state hyperfine splitting values of high-Z boronlike ions are calculated. Calculation of the interelectronic-interaction contribution is based on a combination of the 1/Z perturbation theory and the large-scale…

Atomic Physics · Physics 2009-11-13 N. S. Oreshkina , D. A. Glazov , A. V. Volotka , V. M. Shabaev , I. I. Tupitsyn , G. Plunien

Au-Fe alloys are of immense interest due to their biocompatibility, anomalous hall conductivity, and applications in various medical treatment. However, irrespective of the method of preparation, they often exhibit a high-level of disorder,…

Materials Science · Physics 2017-09-27 Jiban Kangsabanik , Rajiv K. Chouhan , D. D. Johnson , Aftab Alam

Finite nuclear mass $(Z\,\alpha)^2\,m/M\,E_F$ corrections to the hyperfine splitting in hydrogenic systems are calculated using a combined relativistic heavy particle and nonrelativistic quantum electrodynamics. The obtained results are in…

Atomic Physics · Physics 2026-03-24 Jakub Hevler , Andrzej Maroń , Krzysztof Pachucki

The hyperfine structure in the 6p2-configuration in lead has been analysed and the results is compared with calculations. The hyperfine anomaly and improved values of the nuclear magnetic moment for four lead isotopes is obtained, using the…

Atomic Physics · Physics 2014-07-14 J. R. Persson

We present an alternative scheme for calculating the unrestricted Hartree-Fock equation. The scheme is based on the variational method utilizing the sophisticated basis functions that include no adjustable parameters. The validity and…

Other Condensed Matter · Physics 2009-06-16 Mitiyasu Miyasita , Katsuhiko Higuchi , Masahiko Higuchi

Relativistic and QED corrections are calculated for the hyperfine splitting (hfs) in the $2S_{1/2}$ ground state of $^{9}$Be$^+$ ions with an exact account for electronic correlations. The achieved accuracy is sufficient to determine the…

Atomic Physics · Physics 2015-06-18 Mariusz Puchalski , Krzysztof Pachucki

We analyze second-order $M1$-$M1$ and $M1$-$E2$ effects to the hyperfine structure (HFS) of the lowest energy $P$ states of alkali-metal atoms arising from the coupling of the two ($J=1/2,3/2$) fine-structure levels through the hyperfine…

Atomic Physics · Physics 2011-07-13 K. Beloy , A. Derevianko

Relativistic Hartree-Fock method together with many-body perturbation theory and configuration interaction techniques are used to calculate relativistic energy shifts for frequencies of the strong electric dipole transitions of C III, C IV,…

Atomic Physics · Physics 2007-10-26 I. M. Savukov , V. A. Dzuba

The multiconfiguration Dirac-Hartree-Fock (MCDHF) model has been employed to calculate the transition rates between the nine lowest levels of radium. The dominant rates were then used to evaluate the radiative lifetimes. The decay of the…

Atomic Physics · Physics 2009-11-13 Jacek Bieron , Paul Indelicato , Per Jonsson

We use relativistic Hartree-Fock and configuration interaction methods to calculate the dependence of transition frequencies for singly ionized cobalt on the fine structure constant. The results are to be used in the search for variation of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 V. A. Dzuba , V. V. Flambaum

The quasi-particle energy spectrum of the Hartree-Fock-Bogoliubov (HFB) equations contains discrete bound states, resonances, and non-resonant continuum states. We study the structure of the unbound quasi-particle spectrum of weakly bound…

Nuclear Theory · Physics 2015-05-28 J. C. Pei , A. T. Kruppa , W. Nazarewicz

Quantum many-body nuclear dynamics is treated at the mean-field level with the time-dependent Hartree-Fock (TDHF) theory. Low-lying and high-lying nuclear vibrations are studied using the linear response theory. The fusion mechanism is also…

Nuclear Theory · Physics 2014-02-05 C. Simenel , M. Dasgupta , D. J. Hinde , A. Kheifets , A. Wakhle

Radiative corrections to the Zemach contribution of the hydrogen hyperfine splitting are calculated. Their contributions amount to $-0.63(3)$ ppm to the HFS. The radiative recoil corrections are estimated to be $0.09(3)$ ppm and heavy…

High Energy Physics - Phenomenology · Physics 2014-11-17 Savely G. Karshenboim

Hyperfine structure (HFS) of atomic energy levels arises due to interactions of atomic electrons with a hierarchy of nuclear multipole moments, including magnetic dipole, electric quadrupole and higher rank moments. Recently, a…

Accurate prediction of muon hyperfine constants is useful for interpreting muon spin spectroscopy data, yet standard methods such as density functional theory (DFT) compute muon-electron pair density functions, and thus hyperfine constants,…

Chemical Physics · Physics 2026-03-06 Jamie Carr , Mathias Volkai , W. M. C. Foulkes , Andres Perez Fadon

We have systematically investigated the ground-state hyperfine structure for alkali-metal atoms ^{87}Rb, ^{133}Cs, ^{211}Fr and alkali-metal-like ions ^{135}Ba^+, ^{225}Ra^+, which are of particular interest for parity violation studies.…

Atomic Physics · Physics 2017-12-20 J. S. M. Ginges , A. V. Volotka , S. Fritzsche
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