Excitation energies, polarizabilities, multipole transition rates, and lifetimes of ions along the francium isoelectronic sequence

Abstract

Relativistic many-body perturbation theory is applied to study properties of ions of the francium isoelectronic sequence. Specifically, energies of the 7s, 7p, 6d, and 5f states of Fr-like ions with nuclear charges Z = 87 - 100 are calculated through third order; reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for 7s - 7p, 7p - 6d, and 6d - 5f electric-dipole transitions; and 7s - 6d, 7s - 5f, and 5f_5/2 - 5f_7/2 multipole matrix elements are evaluated to obtain the lifetimes of low-lying excited states. Moreover, for the ions Z = 87 - 92 calculations are also carried out using the relativistic all-order single-double method, in which single and double excitations of Dirac-Fock wave functions are included to all orders in perturbation theory. With the aid of the SD wave functions, we obtain accurate values of energies, transition rates, oscillator strengths, and the lifetimes of these six ions. Ground state scalar polarizabilities in Fr I, Ra II, Ac III, and Th IV are calculated using relativistic third-order and all-order methods. Ground state scalar polarizabilities for other Fr-like ions are calculated using a relativistic second-order method. These calculations provide a theoretical benchmark for comparison with experiment and theory.

arXiv comment13 figures, 11 tables

References in corpus (9)

• High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms
• Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms
• Calculations of parity nonconserving s-d transitions in Cs, Fr, Ba II, and Ra II
• Inconsistencies between lifetime and polarizability measurements in Cs
• Excitation energies, oscillator strengths, and lifetimes of levels along the gold isoelectronic sequence
• Fourth-order perturbative extension of the singles-doubles coupled-cluster method
• Excitation energies, polarizabilities, multipole transition rates, and lifetimes in Th IV
• Lifetime Measurement of the 8s Level in Francium
• Energies, transition rates, and electron electric dipole moment enhancement factors for Ce IV and Pr V

Cited by in corpus (14)

• Theory and applications of atomic and ionic polarizabilities
• Calculation of parity nonconserving amplitude and other properties of Ra+
• Comparative studies of dipole polarizabilities in Sr${}^{+}$, Ba${}^{+}$ and Ra${}^{+}$ and their applications to optical clocks
• Calculation of strongly forbidden M1 transitions and g-factor anomalies in atoms considered for parity non-conservation measurements
• Forbidden M1 and E2 transitions in monovalent atoms and ions
• Relativistic many-body calculation of energies, oscillator strengths, transition rates, lifetimes, polarizabilities, and quadrupole moment of Fr-like Th IV ion
• A scheme for excitation of thorium-229 nuclei based on the electronic bridge excitaion
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• Properties of Fr-like Th3+ from spectroscopy of high-L Rydberg levels of Th2+
• Dispersion coefficients for the interactions of the alkali and alkaline-earth ions and inert gas atoms with a graphene layer
• Relativistic and Electron Correlation Effects in Static Dipole Polarizabilities for Main-Group Elements
• Theoretical characterisation of the barium II and radium II ions
• Relativistic and electron-correlation effects in static dipole polarizabilities for group 11 elements
• Breit corrections to moderately charged ions in all-orders calculations