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4. Discussion and conclusions

Two major anomalies affect the collisional data computed by Tayal et al. (1987) for the forbidden transitions within the tex2html_wrap_inline1698 ground configuration of FeXII

  1. a large discontinuity, up to an order of magnitude for some transitions, between the tex2html_wrap_inline3578 values at 4Ry and at 6.6Ry, as clear from their Table 2 (click here). This feature was pointed out by Mason (1994).
  2. a monotonic increase of tex2html_wrap_inline3578 as a function of E above 6.6Ry for the transitions from the tex2html_wrap_inline3606 up to the tex2html_wrap_inline3608 levels.
Comparison of our Figs. 1 (click here), 2 (click here) and 3 (click here) with their Fig. 3 (click here) shows that our 7 term target expansion including tex2html_wrap_inline2954 and tex2html_wrap_inline2964 correlation orbitals in the radial waves (Fig. 2 (click here)) is the closest to their model.

Regarding the first point, we note that 4Ry is above the highest excitation threshold in both calculations, so the eventuality of hitting a true resonance at that energy must be ruled out. This raises the question whether their unusually high values at 4Ry might be due to the effect of unphysical resonances in the open channel energy region, despite their use of a T-matrix smoothing procedure in that energy range. Our 7 term computation with correlation orbitals revealed a bunch of resonances, likely to be due to the tex2html_wrap_inline2964 correlation orbital, between 4Ry and 7Ry, and between 15Ry and 20Ry. Our approach does not include T-smoothing but we still find the same steep drop in the tex2html_wrap_inline3578 values between 4Ry and 6.6Ry. This fact seems to suggest that open channel resonance effects are still affecting their non-resonant background, causing this behaviour.

As far as the second point is concerned, they ascribe the increase in tex2html_wrap_inline3578 to larger contributions from higher partial waves due to the presence of stronger long-range quadrupole interactions. However we performed a similar top-up procedure without obtaining such a pronounced effect in the higher partial waves contributions. Furthermore we point out that, according to the classification proposed by Burgess & Tully (1992), the high energy behaviour of tex2html_wrap_inline3624 for forbidden transitions should follow a constant or E-2 trend, depending on the role played by electron exchange. An increase in tex2html_wrap_inline3578 with E is, on the contrary, typical of optically allowed transitions.

The use of correlation orbitals in the target description is problematic, as stated in Saraph & Storey (1996), because of the introduction of unwanted spurious resonances in the open channel region and because of the inaccurate position on the energy scale of the additional resonances brought in by these non-physical orbitals below the highest excitation threshold. It is for this reason that we used all spectroscopic orbitals in our best R-matrix calculation including 19 target terms. A comparison of our Table 7 (click here) with the Tayal et al. (1987) collision strengths reveals a situation where their values are, for most transitions, larger than ours. The use of a different scaling factor in the geometric series top-up procedure and possible residual open channel resonance effects in their data might account for this discrepancy. However, no clear pattern is observed in comparing the two sets of data for the effective collision strengths (our Table 8 (click here) and their Table 3 (click here)). Their tex2html_wrap_inline3634 data for the tex2html_wrap_inline3636 transitions show again the same anomalous behaviour as a function of tex2html_wrap_inline3364 as we found in their tex2html_wrap_inline3624 values. Here, probably, in integrating the collision strengths over a Maxwellian distribution, the presence of their broad resonance features due to correlation orbitals is balanced by our inclusion of additional series of physical resonances converging to the twelve extra thresholds of the tex2html_wrap_inline1728 configuration, which is lacking in

their target representation. The inclusion of the second excited configuration in the target expansion is an important feature of our calculation because it enables us to provide collisional data for the important transitions up to the tex2html_wrap_inline1728 levels. The only set of data previously available for these transitions was by Flower (1977), who used a very crude target model and included resonance effects by the approximate method of Petrini (1970). The radiative and collisional atomic parameters for FeXII discussed in this paper should therefore prove a powerful diagnostic tool for future spectroscopic applications.

Acknowledgements

This research was supported by PPARC grants GR/H94979 and GR/K98506 for the IRON Project meetings and CRAY computing time.


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