In this problem you will explore the detailed analysis of scattering
using the simple model of point particles scattering from hard spherical shaped reflectors.
Hint: You may wish to refer to Eisberg and Resnick, Quantum
Physics of Atoms, Molecules, Nuclei, and Particles (Wiley) which has
a detailed discussion of Rutherford scattering. Also, the solution
to last year's problem is on the web:
http://web.mit.edu/afs/athena.mit.edu/course/8/8.04/8.04s/www/ps1sol/node5.html\
Consider the single collision event in Figure 3 (the x-axis
runs parallel to the incoming trajectory and directly through the
center of the reflector). Note that the total angle subtended by
the spherical part of the reflector is only 
.
