Nuclear magnetic octupole moment and the hyperfine structure of the $5D_{3/2,5/2}$ states of the Ba${}^{+}$ ion

Abstract

The hyperfine structure of the long-lived $5D_{3/2}$ and $5D_{5/2}$ levels of Ba${}^{+}$ ion is analyzed. A procedure for extracting relatively unexplored nuclear magnetic moments $\Omega$ is presented. The relevant electronic matrix elements are computed in the framework of the ab initio relativistic many-body perturbation theory. Both the first- and the second-order (in the hyperfine interaction) corrections to the energy levels are analyzed. It is shown that a simultaneous measurement of the hyperfine structure of the entire $5D_J$ fine-structure manifold allows one to extract $\Omega$ without contamination from the second-order corrections. Measurements to the required accuracy should be possible with a single trapped barium ion using sensitive techniques already demonstrated in Ba${}^{+}$ experiments.

arXiv commentPhys Rev A in press

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• Radio frequency spectroscopy measurement of the Landé g factor of the 5D5/2 state of Ba+ with a single trapped ion
• Coherent Excitation of the 6S1/2 to 5D3/2 Electric Quadrupole Transition in 138Ba+
• Diverse Trends of Electron Correlation Effects for Properties with Different Radial and Angular Factors in an Atomic System: A case study in Ca${}^{+}$
• Spectroscopy of the ${}^1{S}_0$-to-${}^1{D}_2$ clock transition in ${}^{176}$Lu${}^{+}$
• Measurement of Lande g factor of 5D5/2 state of BaII with a single trapped ion