Nucleon-Transfer Form Factors Relative to a Microscopically Specified Core

A simple model is employed in a preliminary investigation of the influence on measurable quantities of the many-body nature of the interaction experienced by a nucleon participating in a transfer reaction. The model describes a nucleon in dynamic interaction with a microscopically specified core and takes antisymmetry fully into account. Bound and resonant eigenfunctions are determined by the generalized $R$-matrix method. The nucleon-nucleon interaction is treated phenomenologically and contains central, spin-orbit, and Coulomb terms. Two strength parameters are adjusted to reproduce the observed bound-state energies and low-energy phase shifts of a nucleon in interaction with ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$. The resulting bound form factors have rms radii smaller than those of standard-geometry Woods-Saxon eigenfunctions, leading to important enhancements of spectroscopic factors determined by distorted-wave Born-approximation analyses of reaction data.