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Problem 2 (20 points): A particle of mass m with momentum p = hk scatters elastically from the potential V(r) = (ra) due
Posted: Tue May 17, 2022 8:47 pm
by answerhappygod
- Problem 2 20 Points A Particle Of Mass M With Momentum P Hk Scatters Elastically From The Potential V R Ra Due 1 (66.2 KiB) Viewed 70 times
Problem 2 (20 points): A particle of mass m with momentum p = hk scatters elastically from the potential V(r) = (ra) due to a very massive particle. You may assume that a is positive, but should not assume that is necessarily small. a) Under what conditions will the Born approximation for this system be valid? b) Assuming the validity of the Born approximation, calculate the differential cross section for tering m through an angle e. Make certain that your final expression shows the complete dependence on 8. c) Find the total cross section for scattering in the low energy limit. d) Another way to find the total cross section is to use the optical theorem (Eq. 13.75). You will get a different answer than in part c) What does the parametric form of your answer in part c) tell you about what is needed to reconcile these two methods for finding the total cross section?