Observability of Nuclear Rearrangement and Choices of Single-Particle Potentials

Using a removal-time-dependent separation energy, the relationship of nucleon removal energies to observed spectra and single-particle eigenvalues is demonstrated. Three different choices of the nuclear single-particle potential are discussed and the observability of their eigenvalues is explained. It is shown that "observed" spectroscopic factors should vary with energy and that single-particle energies determined by measuring centroids will also vary with incident energy. Possible evidence for these removal-time-dependent effects in ($d,t$) and ($p,2p$) experiments is presented and other experiments are suggested to verify these effects.