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Thirteen core-excited lithium doublet states of the P, P', D, and D' symmetries are calculated with a multiconSguration-interaction wave function. A variation method is used for the bound states whereas the saddle-point and saddle-point complex-rotation methods are used for the autoionizing states. A restricted variation method is used for the saturated wave functions. Fine structures, relativistic corrections, and mass polarization corrections are calculated. The quantum electrodynamic corrections are also estimated. The absolute term energy is predicted with an uncertainty which is much smaller than that in the literature. Among these core-excited states, ten doublet-doublet transitions and one doubletquartet transition have been measured. The largest error bar for the transition energy has been 6.2 cm whereas others range from 0.5 to 3.3 cm . Our predicted transition wavelengths agree with the experiment for 10 of the 11 transitions. The only discrepancy is about 2 cm . In the case where there is a disagreement between different experiments, our results show a clear preference in the comparison. The transition rates calculated in this work suggest that other spectral lines may &iso be observed in future experiments.

The author examines the relativistic, QED and nuclear finite-size corrections of the hyperfine splitting for ground-state muonic 3He up to alpha 2. The author finds that the nuclear finite-size correction and the magnetic correction to the electron wavefunction of the hyperfine splitting, Delta ve, which accounts for the magnetic interaction between the electron and the 3He nucleus, are quite different from the previous results of Huang and Hughes (1979,1980,1982). The author obtains the total hyperfine splitting, Delta v=4166.540 MHz, with the uncertainty, +or-0.001 MHz, which only originates from the calculation of the Schrodinger wavefunction, and the uncertainty, +or-0.004 MHz, which originates from the neglect of order alpha 3 and above in calculating the relativistic, QED and nuclear finite-size correction, and the uncertainties of the parameters of the electric and magnetic form factors of the 3He nucleus. This result is more consistent with the experimental result, 4166.3+or-0.2 MHz, than the previous theoretical results.

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The dipole polarizabilities of the 1, 21S and 23S states of helium-like ions (2