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Energy levels, magnetic dipole, and electric quadrupole hyperfine structure of the superheavy element rutherfordium (Rf, $Z$=104) and its first three ions are calculated using a combination of the configuration interaction, coupled-cluster…

Atomic Physics · Physics 2021-12-14 Saleh O. Allehabi , V. A. Dzuba , V. V. Flambaum

We carry out state-of-the-art optimization of a nuclear energy density of Skyrme type in the framework of the Hartree-Fock-Bogoliubov (HFB) theory. The particle-hole and particle-particle channels are optimized simultaneously, and the…

Nuclear Theory · Physics 2014-11-21 M. Kortelainen , T. Lesinski , J. Moré , W. Nazarewicz , J. Sarich , N. Schunck , M. V. Stoitsov , S. Wild

The extended kernel ridge regression (EKRR) method with odd-even effects was adopted to improve the description of the nuclear charge radius using five commonly used nuclear models. These are: (i) the isospin dependent $A^{1/3}$ formula,…

Nuclear Theory · Physics 2024-04-22 Lu Tang , Zhen-Hua Zhang

The energy levels of the first few low-lying states of helium and lithium atoms in intense magnetic fields up to $\approx 10^8-10^9$~T are calculated in this study. A pseudospectral method is employed for the computational procedure. The…

Quantum Physics · Physics 2014-06-11 Anand Thirumalai , Jeremy S. Heyl

Advances in laser spectroscopy of superheavy ($Z>100$) elements enabled determination of the nuclear moments of the heaviest nuclei, which requires high-precision atomic calculations of the relevant hyperfine structure (HFS) constants.…

Atomic Physics · Physics 2018-12-05 S. G. Porsev , M. S. Safronova , U. I. Safronova , V. A. Dzuba , V. V. Flambaum

The ab initio quasirelativistic Hartree-Fock method developed specifically for the calculation of spectral parameters of heavy atoms and highly charged ions was applied to determine atomic data for tungsten ions. The correlation effects…

Atomic Physics · Physics 2015-04-09 P. Bogdanovich , R. Kisielius

Atomic hydrogen energy levels calculated to high precision are required to assist experimental researchers working on spectroscopy in the pursuit of testing quantum electrodynamics (QED) and probing for physics beyond the Standard Model.…

Atomic Physics · Physics 2023-09-12 David M. Jacobs , Marko Horbatsch

We report calculations of energy levels and radiative rates ($A$-values) for transitions in Cr-like Co IV and Ni V. The quasi-relativistic Hartree-Fock (QRHF) code is adopted for calculating the data although GRASP (general-purpose…

Atomic Physics · Physics 2016-01-20 K. M. Aggarwal , P. Bogdanovich , R. Karpuškienė , F. P. Keenan , R. Kisielius , V. Stancalie

A new scheme to study the properties of finite nuclei is proposed based on the Dirac-Brueckner-Hartree-Fock (DBHF) approach starting from a bare nucleon-nucleon interaction. The relativistic structure of the nucleon self-energies in nuclear…

A recently developed finite element approach for fully numerical atomic structure calculations [S. Lehtola, Int. J. Quantum Chem. 119, e25945 (2019)] is extended to the description of atoms with spherically symmetric densities via…

Computational Physics · Physics 2020-01-30 Susi Lehtola

The energy levels of neutral atoms supported by Yukawa potential, $V(r)=-Z exp(-\alpha r)/r$, are studied, using both dimensional and dimensionless quantities, via a new analytical methodical proposal (devised to solve for nonexactly…

Mathematical Physics · Physics 2009-10-31 Omar Mustafa , Maen Odeh

We present a survey of the phenomenological adjustment of the parameters of the Skyrme-Hartree-Fock (SHF) model for a self-consistent description of nuclear structure and low-energy excitations. A large sample of reliable input data from…

Nuclear Theory · Physics 2008-11-10 P. Klüpfel , P. --G. Reinhard , T. J. Bürvenich , J. A. Maruhn

The ab initio quasirelativistic Hartree-Fock method developed specifically for the calculation of spectral parameters of heavy atoms and highly charged ions is used to derive transition data for multicharged tungsten ion. The configuration…

Atomic Physics · Physics 2015-04-09 P. Bogdanovich , R. Kisielius

High-precision calculations of the energy levels of the superheavy element Z=120 are presented. The relativistic Hartree-Fock and configuration interaction techniques are employed. The correlations between core and valence electrons are…

Atomic Physics · Physics 2022-01-07 T. H. Dinh , V. A. Dzuba , V. V. Flambaum , J. S. M. Ginges

The relativistic multiconfiguration Dirac-Hartree-Fock (MCDHF) and the non-relativistic multiconfiguration Hartree-Fock (MCHF) methods have been employed to calculate the magnetic dipole and electric quadrupole hyperfine structure constants…

Variation after particle-number restoration is incorporated for the first time into the Hartree-Fock-Bogoliubov framework employing the Skyrme energy density functional with zero-range pairing. The resulting projected HFB equations can be…

Nuclear Theory · Physics 2008-11-26 M. V. Stoitsov , J. Dobaczewski , R. Kirchner , W. Nazarewicz , J. Terasaki

Although many programs have been published for fully numerical Hartree--Fock (HF) or density functional (DF) calculations on atoms, we are not aware of any that support hybrid DFs, which are popular within the quantum chemistry community…

Chemical Physics · Physics 2019-08-19 Susi Lehtola

Considering the emblematic Hartree-Fock (HF) energy expression with single Slater determinant and the ortho-normal molecular orbits (MO) in it, expressed as a linear combination (LC) of atomic orbits (LCAO) basis set functions, the HF…

Chemical Physics · Physics 2019-09-04 Sandor Kristyan

There are many complementing strategies to estimate the extrapolation errors of a model which was calibrated in least-squares fits. We consider the Skyrme-Hartree-Fock model for nuclear structure and dynamics and exemplify the following…

Nuclear Theory · Physics 2015-06-22 J. Erler , P. -G. Reinhard

The ab initio quasirelativistic Hartree-Fock method developed specifically for the calculation of spectroscopic parameters of heavy atoms and highly charged ions was used to derive spectral data for the multicharged tungsten ion W$^{35+}$.…

Atomic Physics · Physics 2015-04-20 P. Bogdanovich , R. Kisielius
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