Electron Scattering from an Aligned Deformed Nucleus

The problem of scattering high-energy electrons from a deformed nucleus which has been aligned in a magnetic field is considered from the point of view of the Schiff approximation for high-energy potential scattering. Integrals for the scattering amplitude are evaluated in the asymptotic limit of large $\beta$ ($\beta \equiv \mathrm{QR}$) assuming a model for the charge-density distribution which is equivalent to a uniformly charged ellipsoid of revolution. It is found that terms bilinear in the quadrupole strength must retained. The formalism is extended to take account of nuclear spin-state transitions. Low-lying rotational levels are summed over, using the Bohr-Mottelson model in the strong-coupling limit. Application is made to the case of the holmium nucleus.