Nuclear overlap functions determined by the asymptotic behavior of the one-body density matrix

Single-particle overlap functions and spectroscopic factors are calculated using the asymptotic behavior in coordinate space of the one-body density matrix corresponding to a many-body wave function in correlated basis function theory. We include state-dependent correlation functions and discriminate between the effects of central, spin-spin, and tensor correlations. The method is applied to ¹⁶O. We also discuss the effect of center-of-mass motion on the calculated spectroscopic factors.