Breakdown of the contributions to the dipole polarizabilities of the Ga<sup>+</sup> clock transition states

2013-09-06T00:00:00Z (GMT) by Yongjun Cheng J Mitroy
<p><b>Table 6.</b> Breakdown of the contributions to the dipole polarizabilities of the Ga<sup>+</sup> clock transition states. The δα<sub>1</sub> column gives the contribution from the indicated transition class. The ∑α<sub>1</sub> column gives the accumulated sum. The final polarizabilities are given in bold-face and the uncertainties in the last digits are given in brackets.</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>