The complex balance of processes occurring at the cascade of exotic H-atoms
is usually described by the so-called standard cascade model, but this mod
el neglects variations of the kinetic energy T of the exotic atom during th
e cascade which are crucial for the analysis of several important experimen
ts. New experimental results on T-mu p at H-2 pressures between 0.063 and 4
hPa demonstrate the importance of acceleration due to Coulomb de-excitatio
n processes at highly excited mu p levels n>9. The data at the lowest densi
ty are sensitive to the initial values of the kinetic energy and n-levels a
t the moment of atomic capture. From the measured low-energy tail of the T-
mu p-distribution it can be concluded that a considerable part of the mu p(
2s) atoms is metastable at pressures of a few hPa.