Charge scaling of ionisation probabilities in ion-atom collisions for zero impact parameter

A simple encounter probability model is constructed for approximating the mean L-shell ionisation probability at zero impact parameter, pL(0), as used in the multiple ionisation theories of heavy-ion collisions. The model establishes a simple scaling rule for pL(0) as a function of Z1/vi which behaves asymptotically as pL(0) approximately=(Z1/vi)2 for low projectile charge Z1 and tends to unity for high Z1 values, in the high velocity limit vi>>va.

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