Absorption oscillator strengths for some low-lying transitions of Ga<sup>+</sup>
ChengYongjun
MitroyJ
2013
<p><b>Table 3.</b> Absorption oscillator strengths for some low-lying transitions of Ga<sup>+</sup>. The RRPA column lists calculations performed in the relativistic random phase approximation. The CICP oscillator strengths were obtained from calculations where the core-polarization potentials were tuned to give the energies of the identified spin–orbit state. The notation <em>a</em>[<em>b</em>] means <em>a</em> <b>×</b> 10<sup><em>b</em></sup>.</p> <p><strong>Abstract</strong></p> <p>The blackbody radiation shift of the Ga<sup>+</sup>4{\rm s}^2 \ ^1{\rm S}^{\rm e}_0 \rightarrow 4{\rm s}4{\rm p} \ ^3{\rm P}^{\rm o}_0 clock transition is computed to be −0.0140 ± 0.0062 Hz at 300 K. The small shift is consistent with the blackbody radiation shifts of the clock transitions of other group III ions which are of a similar size. The polarizabilities of the Ga<sup>+</sup>4{\rm s}^2 \ ^1{\rm S}^{\rm e}_0, 4{\rm s}4{\rm p} \ ^3{\rm P}^{\rm o}_0, and 4{\rm s}4{\rm p} \ ^1{\rm P}^{\rm o}_1 states were computed using the configuration interaction method with an underlying semi-empirical core potential. Quadrupole and non-adiabatic dipole polarizabilities were also computed. A byproduct of the analysis involved calculations of the low-lying spectrum and oscillator strengths, including polarizabilities, of the Ga<sup>2 +</sup> ion.</p>