Hyperfine structure of the 5dDJ2states in the alkaline-earth Ba ion by fast-ion-beam laser-rf spectroscopy

Abstract

The hyperfine structure (hfs} of the Sd D5/2 '3 ' 78a ions has been measured by collinear fast-beam laser-rf double-resonance spectroscopy, completing the high-precision hfs data for the metastable D3/2 5/2 doublet. hfs constants, corrected for second-order hfs perturbation, are deduced and compared with the results of many-body perturbation theory. Nuclear quadrupole moments are extracted.

Hyperfine and optical barium ion qubits

“…In a field stronger than about 1 G, the 500 kHz splitting of the D 5/2 F=3, F=4 hyperfine levels [24] is overcome so that they become an effective J=4 manifold [25]. In our exper- is observed.…”

Hyperfine structure constants of the CaII states 4s 2 S 1/2 and 4p 2 P 1/2, 3/2 and the nuclear quadrupole moment of43Ca

“…Previous semiempirical analyses of his data of one valence electron systems in some cases turned out to give quite good results, whereas in others large differences with the results of ab initio calculations and /or discrepancies between the results fi'om different states were found [5,17]. Previous semiempirical analyses of his data of one valence electron systems in some cases turned out to give quite good results, whereas in others large differences with the results of ab initio calculations and /or discrepancies between the results fi'om different states were found [5,17].…”

“…Fast ion beam collinear laser spectroscopy has been applied previously for the hfs investigation of a number of stable and radioactive isotopes [5,[16][17][18]. It provides the necessary resolution and intrinsic sensitivity for the case of calcium as well.…”

“…i~n~(O)lZ-Trao3n 3 \ -Tnn/ (5) with Z a the effective atomic core charge (i.e. one for atoms and two for singly charged ions …”

“…The question to be answered is why the semi-empirical analysis does give the right results in this case, whereas it fails for some other systems such as for example the one valence electron D s states in BaII [5]. Part of the answer can be found by comparing the assumptions (2) with the results of the detailed RMBPT CaII calculations [3].…”