%0 Journal Article %T Frozen Core Approximation and Nuclear Screening Effects in Single Electron Capture Collisions %J Atoms | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/atoms7020044 %X Differential cross sections (DCS) for single electron capture from helium by heavy ion impact are calculated using a frozen core 3-body model and an active electron 4-body model within the first Born approximation. DCS are presented for H +, He 2+, Li 3+, and C 6+ projectiles with velocities of 1 MeV/amu and 10 MeV/amu. In general, the DCS from the two models are found to differ by about one to two orders of magnitude with the active electron 4-body model showing better agreement with experiment. Comparison of the models reveals two possible sources of the magnitude difference: the inactive electron¡¯s change of state and the projectile¨Ctarget Coulomb interaction used in the different models. Detailed analysis indicates that the uncaptured electron¡¯s change of state can safely be neglected in the frozen core approximation, but that care must be used in modeling the projectile¨Ctarget interaction. View Full-Tex %U https://www.mdpi.com/2218-2004/7/2/44