Partial-Wave Analysis of the Inelastic Scattering of Electrons by Nuclei. II. Application to the Liquid Drop Model

Abstract

A partial-wave analysis of the solution of the Dirac equation in a Coulomb field is used to calculate inelastic scattering from a nucleus treated as an inhomogeneous charged liquid drop. Using charge density functions obtained from elastic electron scattering, the form factors for quadrupole excitation of the nuclei ${\mathrm{Ni}}^{58,60}$ and ${\mathrm{Sr}}^{88}$ are calculated and found to display better agreement with experimental results than the usual Born approximation. To show the expected effects of a large Coulomb field, a similar calculation for ${\mathrm{Bi}}^{209}$ is also included.