If a repulsive potential drops of monotonically with r, then for energies high compared to...

If a repulsive potential drops of monotonically with r, then for energies high compared to V (rm) the angle of scattering will be small. Under these conditions show that Eq. (3.97) can be manipulated so that the deflection angle is given approximately by

where y, obviously, is u/um.

Show further, that if V (u) is of the form Cun, where n is a positive integer, then in the high-energy limit the cross section is proportional to Θ−2(1+1/n).