The polarizabilities of some low-lying states of the Ga<sup>2 +</sup> and Ga<sup>+</sup> ions

2013-09-06T00:00:00Z (GMT) by Yongjun Cheng J Mitroy
<p><b>Table 5.</b> The polarizabilities of some low-lying states of the Ga<sup>2 +</sup> and Ga<sup>+</sup> ions. The scalar adiabatic polarizabilities, α<sub><em>k</em></sub>, are listed along with some non-adiabatic, β<sub><em>k</em></sub>, and tensor, \alpha ^{(1)}_{2, L_0 L_0}, polarizabilities. The polarizabilities are in atomic units and 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>