Saddle-point technique for autoionizing states of the lithium atom. I.Po2resonances in the elastic scattering region

Abstract

A total of eleven autoionizing ${}_{}{}^2{}_{}{}^{}P$ resonances has been observed by Ederer et al. in the lithium absorption spectrum below the $2{}_{}{}^3{}_{}{}^{}S{\mathrm{Li}}^{+}$ threshold. In this work, all eleven states have been calculated using a saddle-point technique. The results of this calculation agree with those of experiment. For the highest-eight resonances, the present results are higher by an average of 0.010 eV. The errors of the lowest-three resonances are slightly larger. A perturber which is presented in the observed spectrum is positively identified. The full effect of this perturber is studied with the concept of dynamic coupling. The oscillator strength and the various radial expectation values of these states are also calculated.