Relativistic many-body calculations of excitation energies and transition rates in ytterbiumlike ions

Abstract

Excitation energies, oscillator strengths, and transition rates are calculated for (5d 2 + 5d6s + 6s 2 )-(5d6p + 5d5f + 6s6p) electric dipole transitions in Yb-like ions with nuclear charges Z ranging from 72 to 100. Relativistic many-body perturbation theory (RMBPT), including the retarded Breit interaction, is used to evaluate retarded E1 matrix elements in length and velocity forms. The calculations start from a [Xe]4f 14 core Dirac-Fock potential. First-order RMBPT is used to obtain intermediate coupling coefficients, and second-order RMBPT is used to determine matrix elements. A detailed discussion of the various contributions to energy levels and dipole matrix elements is given for ytterbium like rhenium, Z=75. The resulting transition energies are compared with experimental values and with results from other recent calculations. Trends of excitation energies, line strengths, oscillator strengths, and transition rates as functions of nuclear charge Z are shown graphically for selected states and transitions. These calculations are presented as a theoretical benchmark for comparison with experiment and theory.

Relativistic many-body calculations of excitation energies and transition rates from core-excited states in copperlike ions

“…[1] for calculation of energies of particle-particle-hole states and in Ref. [2] for calculation of radiative transition rates from particle-particle-hole state to one-particle state.…”

“…Recently, RMBPT calculations of energies [1] and transition rates [2] in Na-like ions have been performed. The present paper focuses on the RMBPT calculations of energies and transition rates in Cu-like ions.…”

Calculations of Energy Levels Using the Weakest Bound Electron Potential Model Theory

“…Another powerful method in this field is RMBPT. Yb-, Al-, Ga-like ions have been investigated by this method [8][9][10]. Energy levels of silver, beryllium, magnesium, francium and zinc isoelectronic sequences were also studied by this method [11][12][13][14].…”

“…Therefore, more and more attention has been paid on calculations of high--precision energy levels of atoms and ions. Many theoretical methods have been developed in this field: multiconfiguration Hartree-Fock (MCHF) method [1][2][3], multiconfiguration Dirac-Hartree-Fock (MCDHF) method [1][2][3], configuration interaction (CI) method [4][5][6][7], relativistic many-body perturbation theory (RMBPT) [8][9][10][11][12][13][14], and weakest bound election potential model (WBEPM) theory [15][16][17][18][19][20][21][22][23], etc.…”

Study of spectra for lanthanides atoms with relativistic many- body perturbation theory: Rydberg resonances

“…[1][2][3][4] and references therein). Relativistic many-body perturbation theory is effectively applied to the computation of spectra of low-lying states for lanthanides atoms [5][6][7][8][9][10].…”