Correlation effects in single-particle overlap functions and one-nucleon removal reactions

Single-particle overlap functions and spectroscopic factors are calculated on the basis of the one-body density matrices (ODM) obtained for the nucleus ${}^{16}\mathrm{O}$ employing different approaches to account for the effects of correlations. The calculations use the relationship between the overlap functions related to bound states of the $(A\ensuremath{-}1)$-particle system and the ODM for the ground state of the A-particle system. The resulting bound-state overlap functions are compared and tested in the description of the experimental data from $(p,d)$ reactions for which the shape of the overlap function is important.