Consider an electric dipole consisting of two electric charges e and -e at a mutual distance 2a. Consider also a particle of charge e and mass m with an incident wave vector k perpendicular to the direction of the dipole; see Fig. 45. (a) Calculate the scattering amplitude in the Born approximation. Find the directions at which the differential cross section is maximal. (b) Consider a different system with a target consisting of two arbitrary charges q1 and q2 similarly placed. Calculate again the scattering amplitude and the directions of maximal scattering.
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For an electric dipole, the potential at a point r due to the dipole moment p is given by: V(r) = (1/4πε₀) (p · ∇) (1/r) where ε₀ is the vacuum permittivity. In this case, the dipole moment p is given by: p = 2ea where e is the elementary charge and a is the Show more…
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