In this problem you will explore the detailed analysis of scattering using the simple model of point particles scattering from hard parabolic reflectors of focal-length f and cross-sectional radius 2f, shown in Figure 1. The equation for the parabola in the figure is , where . The x-axis runs parallel to the trajectory of incoming particles and directly through the center of the reflector.
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, see the solution
to 1995's problem on the web:
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