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Scattering of two charged particles

  1. Aug 3, 2016 #1
    1. The problem statement, all variables and given/known data
    Two identical charged particles, each of mass [itex]m[/itex] and charge [itex]e[/itex], are intitialy far apart. One of the particles is at rest at the origin, and the other approaching it with velocity [itex]v[/itex] along the line [itex]x=b, y=0[/itex] where [itex] b=e^2/2 \pi \epsilon_0 mv^2[/itex]. Find the scattering angle in the CM frame, and the directions in which the two particles emerge in the Lab.

    It then quotes a relevant section which was on Rutherford Scattering

    2. Relevant equations

    3. The attempt at a solution
    Calling [itex]x=b, y=0[/itex] a line threw me off. I'm not sure what they mean by that.
  2. jcsd
  3. Aug 3, 2016 #2


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    I'm not sure either. Maybe they mean that the particle is initially traveling in the x-z plane along a line that is parallel to the z axis at x = b.
  4. Aug 3, 2016 #3
    That does make sense, although why introduce a third dimension if the particles are in a plane? Anyway I'll try it with what you say.
  5. Aug 3, 2016 #4


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    Good point.

    The important thing is that the projectile particle is initially moving along a straight line with impact parameter b. I think that's all you really need to know.
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