Parameters of the { m ns}^2 ^1{ m S}^{ m e}_0 ightarrow { m nsnp} ^3{ m P}^{ m o}_0 clock transitions for the group III ions

<b>Table 7.</b> Parameters of the {\rm ns}^2 \ ^1{\rm S}^{\rm e}_0 \rightarrow {\rm nsnp} \ ^3{\rm P}^{\rm o}_0 clock transitions for the group III ions. The BBR shifts are evaluated at 300 K. The ν_nat column gives available data for the natural line-width of the clock transitions. <strong>Abstract</strong> The blackbody radiation shift of the Ga⁺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⁺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^{2 +} ion.