1)Consider a two-body collision in which the incident particle of mass m has a kinetic energy E in the laboratory system (LS). The dynamics of collision must be analyzed relativistically. Assume that the target particle of mass M is initially at rest.
(a)Show that the LS energy transferred to M in a head on collision is given by
T=Tmax Sin(/2) = 2ME (E+2mc2)/[(m+M)2 c2 + 2ME]
Where is the scattering angle of neutron after scattering.
(b)First derive Tmax using classical mechanics and then show that the