A nonrelativistic particle of charge ze, mass m, and kinetic energy E makes a head-on collision with a fixed central force field of finite range. The interaction is repulsive and described by a potential V(r), which becomes greater than E at close distances.
(a) Show that the total energy radiated is given by
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where rmin is the closest distance of approach in the collision.
(b) If the interaction is a Coulomb potential V(r) = zZe2/r, show that the total energy radiated is
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where v0 is the velocity of the charge at infinity.
(a) Show that the total energy radiated is given by
where rmin is the closest distance of approach in the collision.
(b) If the interaction is a Coulomb potential V(r) = zZe2/r, show that the total energy radiated is
where v0 is the velocity of the charge at infinity.
