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2. Target expansion

In the close coupling (CC) approximation the total wave function of the (e + ion) system is represented as
equation221
where tex2html_wrap_inline964 is the antisymmetrization operator, tex2html_wrap_inline966 is the target ion wave function in a specific state tex2html_wrap_inline968, tex2html_wrap_inline970 is the wave function for the free electron, and tex2html_wrap_inline972 are short range correlation functions for the bound (e + ion) system. Accurate computations for Fe I must allow for channel couplings among many states of the target ion Fe II for at least three reasons. First, the configuration interaction (CI) between the numerous low lying LS terms is important. Second, it is known that strong dipole couplings between opposite parity terms within the target ion give rise to large photoexcitation-of-core (PEC) resonances at corresponding incident photon frequencies (Yu & Seaton 1987). Third, the photoionization channels

corresponding to the ionization of the open inner 3d shell are likely to contribute considerably to the total cross section. This requires that terms dominated by the configurations tex2html_wrap_inline974 and tex2html_wrap_inline976 of Fe II should also be included. The photoionization of Fe I is considered as
equation235

displaymath978

Table 1: Target terms and correlation configurations for Fe II. The values of the scaling parameters tex2html_wrap_inline980 for each orbital in the Thomas-Fermi-Dirac potential used in Superstructure are also given

Table 2: Calculated (cal) energy levels of Fe II and comparison with observed (obs) levels from Sugar & Corliss (1985). The energies (in Rydberg) are relative to the tex2html_wrap_inline1022 ground state

Table 3: Correlation functions for Fe I included in the CC expansion. Upper panel: correlations for quintets and singlets; lower panel: correlations for singlets and triplets

A total of 52 LS terms of the target ion Fe II were included in the close-coupling (CC) expansion for this calculation. Table 1 lists all the coupled LS terms in the present calculations, as well as the correlation configurations included for CI. The atomic structure program SUPERSTRUCTURE (Eissner et al. 1974; Nussbaumer & Storey 1978) was used to optimize the target wavefunctions. Table 2 compares the calculated energies for the 52 terms of Fe II included in the calculation. In general, the target energies obtained were within  10% of the experimentally observed energies for the 52 terms, with few exceptions. A further indication of the accuracy of the target wavefunctions was the good agreement tex2html_wrap_inline1298 between the length and the velocity dipole oscillator strengths between opposite parity terms of Fe II.


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