Sample Test Problems

  1. Calculate the differential cross section, ${d\sigma\over d\Omega}$, for high energy scattering of particles of momentum p, from a spherical shell delta function

    \begin{displaymath}V({\bf r}) = \lambda \delta (r-r_0)\end{displaymath}

    Assume that the potential is weak so that perturbation theory can be used. Be sure to write your answer in terms of the scattering angles.
  2. Assume that a heavy nucleus attracts $K_0$ mesons with a weak Yakawa potential $V(r)={V_0 \over r}e^{-\alpha r}$. Calculate the differential cross section, ${d\sigma\over d\Omega}$, for scattering high energy $K_0$ mesons (mass $m_K$) from that nucleus. Give your answer in terms of the scattering angle $\theta$.



Jim Branson 2013-04-22