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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c7d0de1-1492-4169-928c-55da9b71f8d6%2F2778e1af-9b66-4f53-89dd-79638a60f987%2F0hsc5d7_processed.png&w=3840&q=75)
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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