Quantum Mechanics - Theory of Scattering : Scattering of Identical Particles

In the analysis of scattering processes developed in method of partial waves and Born Approximation the spins of particles (scatterer and projectiles)were ignored and the scatterer or target was considered stationary throughout the collision. The target recoil is, in fact,small when its mass is larger than that of the projectile. If,on the other hand, the target and projectile masses are comparable, the motion of the target is important and we really have a two body scattering problem. In case these particles (target and projectile)are identical, the new effects,which are usually called Exchange Effects, are introduced in the scattering theory. The scattering of two spin-0 Bosons has been described and the scattering cross section is obtained. The effect of exchange symmetry on the scattering of two spin-1/2 Fermions has been also discussed.