Abstract
The saddle-point method is used to generate the wave functions for the autoionizing states of atomic lithium. A saddle-point complex-rotation method is used to calculate the photoionization cross section (PICS) as well as the width and position of the resonances. The PICS of lithium from the ground state is calculated and analyzed between the 1s2p(P-1) and 1s3s(S-3) thresholds. The cross section is calculated in both length and velocity gauges. The discrepancy between these two calculations is within 0.5%. A parentage projection method is introduced to analyze the lowest 17 resonances. The results of this work are compared with the theoretical and experimental data in the literature. In addition to the singly core-excited lithium, the energy of the doubly-hollow lithiumstates of even parity are also calculated. The partial Auger width is studied for each single open channel and the total auger width is obtained with fully coupled open channels. The predicted triply excited lithium energies for the (3s3p(2))S-2(e), (3s3p(2))P-2(e) and (3s3p(2))D-2(e) states are 176.405, 176.300, and 175.587 eV, respectively. The corresponding widths of these resonances are 0.248, 0.402, and 0.267 eV. To our knowledge, this is the first report on these resonances.