High-precision ab initio calculations of the spectrum of Lr${}^{+}$

Abstract

The planned measurement of optical resonances in singly-ionised lawrencium (Z = 103) requires accurate theoretical predictions to narrow the search window. We present high-precision, ab initio calculations of the electronic spectra of Lr${}^{+}$ and its lighter homologue lutetium (Z = 71). We have employed the state-of-the-art relativistic Fock space coupled cluster approach and the AMBiT CI+MBPT code to calculate atomic energy levels, g-factors, and transition amplitudes and branching-ratios. Our calculations are in close agreement with experimentally measured energy levels and transition strengths for the homologue Lu${}^{+}$ , and are well-converged for Lr${}^{+}$ , where we expect a similar level of accuracy. These results present the first large-scale, systematic calculations of Lr${}^{+}$ and will serve to guide future experimental studies of this ion.

7 pages, 1 figure, 5 tables