QUASI-ELASTIC CA-40 (E, E'P) CROSS-SECTIONS IN A MANY-PARTICLE SELF-CONSISTENT HARTREE MODEL

A fully distorted partial-wave calculation is presented for the reacti on Ca-40(e, e'p)K-39 which uses relativistic self-consistent Hartree w ave functions for both the target nucleus and the residual nucleus. Th e final state interaction of the knocked-out nucleon is described by a n optical potential and the Coulomb distortion of the electron wave fu nctions is also included. We assume standard values for meson coupling constants and masses in the Hartree calculations and the optical pote ntial used comes from global fits to elastic proton scattering; hence, this calculation is a description of (e, e'p) reactions with no free parameters. We examine the proton knocked-out from the d3/2 state of C a-40 which leaves the residual nucleus K-39 in its ground state. Agree ment with the experimental data of NIKHEF is good and the calculated s pectroscopic factor agrees very well with the one extracted from exper iment. There seems to be no need to make the assumption that the d3/2 state is appreciably depleted. We also calculate the (e, e'p) cross se ction from the 2s1/2 and 1f7/2 orbitals. For the 2s1/2 orbital the sha pe does not agree so well with the experimental data. The f7/2 orbital leads to approximately the correct shape and we extract a spectroscop ic factor of 3.7%.