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Quasielastic [sup 40]Ca([ital e],[ital e][prime][ital p]) cross sections in a many-particle self-consistent Hartree model

Journal Article · · Physical Review, C (Nuclear Physics); (United States)
; ; ;  [1]
  1. Physics Department, Institute of Nuclear and Particle Physics, Ohio University, Athens, Ohio 45701 (United States)
A fully distorted partial-wave calculation is presented for the reaction [sup 40]Ca([ital e],[ital e][prime][ital p])[sup 39]K which uses relativistic self-consistent Hartree wave functions for both the target nucleus and the residual nucleus. The final state interaction of the knocked-out nucleon is described by an optical potential and the Coulomb distortion of the electron wave functions is also included. We assume standard values for meson coupling constants and masses in the Hartree calculations and the optical potential used comes from global fits to elastic proton scattering; hence, this calculation is a description of ([ital e],[ital e][prime][ital p]) reactions with no free parameters. We examine the proton knocked-out from the [ital d][sub 3/2] state of [sup 40]Ca which leaves the residual nucleus [sup 39]K in its ground state. Agreement with the experimental data of NIKHEF is good and the calculated spectroscopic factor agrees very well with the one extracted from experiment. There seems to be no need to make the assumption that the [ital d][sub 3/2] state is appreciably depleted. We also calculate the ([ital e],[ital e][prime][ital p]) cross section from the 2[ital s][sub 1/2] and 1[ital f][sub 7/2] orbitals. For the 2[ital s][sub 1/2] orbital the shape does not agree so well with the experimental data. The [ital f][sub 7/2] orbital leads to approximately the correct shape and we extract a spectroscopic factor of 3.7%.
DOE Contract Number:
FG02-87ER40370
OSTI ID:
6874791
Journal Information:
Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:5; ISSN 0556-2813; ISSN PRVCAN
Country of Publication:
United States
Language:
English