Screening effects for transition probabilities in collisions of charged particles with an atom or stripped ion

Screening effects for transition probabilities in collisions of charged particles with an atom or stripped ion are investigated using the modified hyperbolic-orbit path in the semiclassical approximation. Effective nuclear charges for bound electrons in many-electron atoms are determined by new screening constants [Y.-D. Jung and R. J. Gould, Phys. Rev. A 44, 111 (1991)]. Applications were made to O, O4+, and O7+. For these targets, the transition probabilities are calculated for 1s→2p transitions. The results show that the maximum point of the transition probability is shifted to the nucleus with an increase of the screening effect. Moreover, the maximum amplitude of the transition probability is appreciably reduced as the screening effect increases