Calculate the differential cross section for scattering of a particle with mass, m, and energy, E, from the above potential

Consider a potential of the form V () k/r k/a if r s a, and v (r) o if r > a, a “truncated” Coulomb potential Calculate the differential cross section for scattering of a particle with mass, m, and energy, E, from the above potential. If θ is the scattering angle, find the relationship between sin(θ/2) and the impact parameter b, and use the following dimensionless parameter ξ , in deriving the above relationship. Use your answer from the previous part, calculate the total cross section and verify that it agrees with the expected result. (Calculate the cross section and integrate over the solid angle)