Relativistic many-body calculation of energies, lifetimes, polarizabilities, blackbody radiative shift and hyperfine constants in Lu2+

Abstract

Energy levels of 30 low-lying states of Lu2+ and allowed electric-dipole matrix elements between these states are evaluated using a relativistic all-order method in which all single, double and partial triple excitations of Dirac-Fock wave functions are included to all orders of perturbation theory. Matrix elements are critically evaluated for their accuracy and recommended values of the matrix elements are given together with uncertainty estimates. Line strengths, transition rates and lifetimes of the metastable 5d(3/2) and 5d(5/2) states are calculated. Recommended values are given for static polarizabilities of the 6s, 5d and 6p states and tensor polarizabilities of the 5d and 6p(3/2) states. Uncertainties of the polarizability values are estimated in all cases. The blackbody radiation shift of the 6s(1/2)-5d(5/2) transition frequency of the Lu2+ ion is calculated with the aid of the recommended scalar polarizabilities of the 6s(1/2) and 5d(5/2) states. Finally, A and B hyperfine constants are determined for states of 175Lu2+ with n <= 9. This work provides recommended values of transition matrix elements, polarizabilities and hyperfine constants of Lu2+, critically evaluated for accuracy, for benchmark tests of high-precision theoretical methodology and planning of future experiments.

9 pages, 10 tables

References in corpus (9)

• Frequency ratio of two optical clock transitions in ${}^{171}$Yb${}^{+}$ and constraints on the time-variation of fundamental constants
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• Improved limit on a temporal variation of $m_p/m_e$ from comparisons of Yb${}^{+}$ and Cs atomic clocks
• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• Atomic properties of superheavy elements No, Lr, and Rf
• Combination of the single-double coupled cluster and the configuration interaction methods; application to barium, lutetium and their ions
• Accurate determination of electric-dipole matrix elements in K and Rb from Stark shift measurements
• Electric Quadrupole Moments of Metastable States of Ca+, Sr+, and Ba+
• Optical atomic clocks with suppressed black body radiation shift

Cited by in corpus (1)

• Suppression of clock shifts at field-insensitive transitions