2. Consider the Rutherford scattering problem in which a particle of electric charge q and mass m is moving towards a scattering center, a heavy nucleus of charge Q assumed to be immovable and at rest. Initially the incoming particle is infinitely far from the scattering center (the impact parameter) is b (see figure below). Derive an integral expression for the scattering angle 0, using Hamilton's equations. Hyperbolic path charge q min charge Q 0
2. Consider the Rutherford scattering problem in which a particle of electric charge q and mass m is moving towards a scattering center, a heavy nucleus of charge Q assumed to be immovable and at rest. Initially the incoming particle is infinitely far from the scattering center (the impact parameter) is b (see figure below). Derive an integral expression for the scattering angle 0, using Hamilton's equations. Hyperbolic path charge q min charge Q 0
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Transcribed Image Text:2. Consider the Rutherford scattering problem in which a particle of electric charge q and
mass m is moving towards a scattering center, a heavy nucleus of charge Q assumed to
be immovable and at rest. Initially the incoming particle is infinitely far from the
scattering center (the impact parameter) is b (see figure below). Derive an integral
expression for the scattering angle 0, using Hamilton's equations.
Hyperbolic path
charge q
min
charge Q
0
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