Abstract

Complex quantum defects are used to compare theoretical studies which lead to a set of eigen quantum defects μ_α and associated transformation matrix U_iα with experimental studies which determine the resonance energies and the resonance widths of lines using the specific example of the ns'autoionizing Rydberg series of xenon. To calculate the resonance energies and the resonance widths, one first calculates a submatrix χ_cc, the closed- closed part of a smooth scattering matrix_χ, for each set offμ_α and U_iα values available from different theoretical studies¹ Then χ_cc, which has complex matrix elements, is diagonalized to obtain complex quantum defects as the diagonal elements. Finally, the resonance energies and the resonance widths are calculated from the real and imaginary parts, respectively, of the complex quantum defects. The results are compared with available experimental data²

© 1986 Optical Society of America