Numerical studies of two-dimensional plots

In this section, we illustrate the theory by some numerical examples. Each one involves a simulated spectrum and the corresponding two-dimensional plot. We confine ourselves to the energy range below both series limits, where two-dimensional plots are appropriate. 

A pure or perfect q = 0 window resonance would of course be missed in a search for maxima in the cross section. Very few resonances can satisfy this condition exactly for interacting series. In practice, one misses at most one resonance, and this does not change the shapes of the graphs. 

In the two-dimensional plots, the full curves through the points are obtained from equation (8.112). The dashed lines in figs. 8.27-8.34 show the values of fj,i and /i2- 

28 and 8.29 show examples with parameters identical to those of fig. 8.27, except that has been increased in absolute value (positive and negative respectively), which leads to large avoided crossings. 

From these three calculations, we see that, for series of weakly coupled, sharp autoionising lines, the same principles apply as in the analysis of bound states, except that anticrossings should be interpreted with caution as they approach the linewidths of one of the autoionising series. An example occurs in the spectrum of Cr, which possesses a more complex 

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