A particle of mass M is elastically scattered through an angle θ from a target particle of mass m initially at rest (M > m).
(a) Show that the largest possible scattering angle θmax in the Lab. System is given by sin θmax = m/M, the corresponding angle in the CMS being cosθ∗max = −m/M.
(b) Further show that the maximum recoil angle for m is given by sinϕmax = [(M −m)/2M]1/2.
(c) Calculate the angle θmax + ϕmax for elastic collisions between the incident deuterons and target protons.
