Using the Born approximation, the amplitude of scattering by a spherically symmetric potential V(r) with a momentum transfer q i

Using the Born approximation, the amplitude of scattering by a spherically symmetric potential V(r) with a momentum transfer q is given by

Show that in the case of a Yukawa-type potential, this leads to an amplitude proportional to (q² + m²c²)⁻¹.

Using the Born approximation, the amplitude of scattering by a spherically symmetric potential V(r) with a momentum transfer q is given by