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

TL;DR

This paper presents a comprehensive relativistic all-order calculation of energy levels, transition properties, polarizabilities, blackbody shift, and hyperfine constants for Lu2+ ions, providing benchmark data for high-precision experiments.

Contribution

It offers the first detailed all-order relativistic calculations of multiple atomic properties of Lu2+, including energies, lifetimes, polarizabilities, and hyperfine constants, with critically evaluated accuracy.

Findings

Calculated energies and transition matrix elements for 30 low-lying states.

Provided recommended polarizabilities and hyperfine constants with uncertainty estimates.

Determined blackbody radiation shift for the 6s-5d(5/2) transition 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.