Autoionization and quasibound states ofLi+

The positions $E=\mathcal{E}+\Delta$ of the ${}_{}{}^{1,3}{}_{}{}^{}(S^e, P^o, D^e)$ autoionizing states of ${\mathrm{Li}}^{+}$ below the $n=2\mathrm{}$ threshold of ${\mathrm{Li}}^{++}$ have been calculated using the Feshbach projection-operator technique. The trial wave function is of Hylleraas type. Widths $\Gamma$ and shifts $\Delta$ of these states have been calculated using the exchange approximation for the continuum functions. The calculated positions are generally lower than those obtained in previous calculations. Widths of most of the states have not previously been calculated. The positions are also compared with experimental results of Ziem, Bruch, and Stolterfoht and Bruch et al. Positions of the nonautoionizing (quasibound) ${}_{}{}^3{}_{}{}^{}P_{}^e{}_{}{}^{}$, ${}_{}{}^{1,3}{}_{}{}^{}D_{}^o{}_{}{}^{}$ states have also been calculated. The positions in all cases are lower than those obtained in previous calculations.