Relations Between Interaction Potential, Line Broadening, and Shifts

2 Relations Between Interaction Potential Line Broadening and Shifts 

In order to gain more insight into the physical meaning of the cross sections Gs and Gb, we have to discover the relation between the phase shift r](R) and the potential V(R). Assume potentials of the form 

The phase shift, due to the frequency shift of the oscillator during the collision 

the quenching collisions which shorten the effective lifetime of the upper level of A. 

The corresponding phase shift of the oscillator A due to a collision with impact parameter R, where we neglect the scattering of B and assume that the path of B is not deflected but follows a straight line (Fig. 3.13), is 

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