Question: Show that the relativistic expression for the kinetic energy of a particle scattered through an angle ψ by a target particle of equal mass is

Show that the relativistic expression for the kinetic energy of a particle scattered through an angle ψ by a target particle of equal mass is

2cos2 (Yı + 1) – (Yı – 1) cos?4 To

The expression evidently reduces to Equation 9.89a in the non-relativistic limit y1 → 1. Sketch T`(ψ) for neutron proton scattering for incident neutron energies of 100 MeV,. 1 GeV, and 10 GeV.

2cos2 (Y + 1) (Y 1) cos?4 To

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