Excitation energies, polarizabilities, multipole transition rates, and lifetimes in Th IV

Abstract

Excitation energies of the ns_{1/2} (n=7-10), np_j (n=7-9), nd_j (n=6-8), nf_{j} (n=5-7), and ng_{j} (n=5-6) states in Th IV are evaluated. First-, second-, third-, and all-order Coulomb energies and first- and second-order Coulomb-Breit energies are calculated. Reduced matrix elements, oscillator strengths, transition rates, and lifetimes are determined for the 96 possible nl_j-n'l'_j' electric-dipole transitions. Multipole matrix elements (7s_{1/2}-6d_j, 7s_{1/2}-5f_j, and 5f_{5/2}-5f_{7/2}) are evaluated to obtain the lifetimes of the $5f_{7/2}$ and 7s_{1/2}$ states. Matrix elements are calculated using both relativistic many-body perturbation theory, complete through third order, and a relativistic all-order method restricted to single and double (SD) excitations. Scalar and tensor polarizabilities for the 5f_{5/2} ground state in Th3+ are calculated using relativistic third-order and all-order methods. These calculations provide a theoretical benchmark for comparison with experiment and theory.

arXiv comment9 pages, 9 figures

References in corpus (6)

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• Calculations of parity nonconserving s-d transitions in Cs, Fr, Ba II, and Ra II
• Inconsistencies between lifetime and polarizability measurements in Cs
• Fourth-order perturbative extension of the singles-doubles coupled-cluster method
• 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 (12)

• Wigner Crystals of 229Th for Optical Excitation of the Nuclear Isomer
• Magnetic dipole and electric quadrupole moments of the 229Th nucleus
• Excitation energies, polarizabilities, multipole transition rates, and lifetimes of ions along the francium isoelectronic sequence
• Parity nonconservation in Fr-like actinide and Cs-like rare-earth-metal ions
• Laser Resonance Chromatography of Superheavy Elements
• Relativistic many-body calculation of energies, oscillator strengths, transition rates, lifetimes, polarizabilities, and quadrupole moment of Fr-like Th IV ion
• Properties of Fr-like Th3+ from spectroscopy of high-L Rydberg levels of Th2+
• Relativistic coupled-cluster calculation of hyperfine-structure constants of ${}^{229}$Th${}^{3+}$ and evaluation of the electromagnetic nuclear moments of ${}^{229}$Th
• Sympathetic cooling of trapped Th3+ alpha-recoil ions for laser spectroscopy
• Observation of the 717 nm electric quadrupole transition in triply charged thorium
• Polarizabilities of Rn-like Th4+ from rf spectroscopy of Th3+ Rydberg levels
• Laser Resonance Chromatography of ${}^{229}$Th${}^{3+}$ in He: an ab initio investigation