The differential cross-section in the CM frame is given in terms of the impact parameter band the CM scattering angle ? by:

(i). Two identical hard spheres of mass in and radius R scatter off each other. Find the differential cross-section in the CM frame, a(?').

(ii). Show that the relationship between the LAB and CM scattering angles ? and ? ^* for identical spheres can be written in the form:

(iii). Use the result from (ii) to convert the result from (i) into a differential cross-section in the LAB frame, ?(?).

(iv). Show that the total cross-sections arc the same in the CM and LAB frames.

Transcribed Image Text:

σ(0*): do dN* b sin 0 db do cos²0 1 + cos 0* 2 σ(0*): do dN* b sin 0 db do cos²0 1 + cos 0* 2

Answer rating: 100% (QA)

I 2 And sin b2R Sin 2 2 ... View the full answer