Compare the Born approximation result for the total cross se

Compare the Born approximation result for the total cross section for scattering from the potential well V(r) = { -V_0 r a with that obtained by using S-wave phase shift analysis. Using the condition for the validity of the Born approximation at low energy (see Problem 13.3), show that the two approaches are in agreement when the Born approximation is valid.

Solution

please provide problem no 13.3.