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Conclusion

The current cascade models are advancing from a phenomenological level towards straightforward detailed calculations of the kinetics. The recent progress in quantum mechanical calculations of the scattering of exotic atoms in excited states makes it possible to get rid of tuning parameters and ad hoc assumptions in future calculations. The ultimate goal of ab initio cascade calculations does not seem to be unrealistic any more.

A detailed knowledge of atomic cascade is essential for precision X-ray spectroscopy of the $\pi ^-p$ atom where the Doppler-broadening corrections must be taken into account in order to measure the nuclear width of the $1S$ state. The new generation of precise experiments with the $\mu p$ and $\pi ^-p$ atoms [49] will make it possible to study the kinetics of the atomic cascade in great detail and to perform critical tests of the theoretical methods used in the calculations of various reactions with excited exotic atoms. The results of theses studies will also be very useful for other systems like $K^-p$ and $\bar{p}p$.



Valeri Markushin
2000-08-05