1. (10 marks) In the scattering of particles of energy E=h^2k^2/2 m by a nucleus, an experimenter find a differential cross section that can be fit by the expression
dσ/dΩ = 1/k^2 (0.86 + 5.32cosθ + 8.31cos^2θ).
(a) What partial waves are contributing to the scattering, and what are their phase shifts at the given energy?
(b) What is the total cross section?