Hartree-Fock Charge Distributions for 1p-Shell Nuclei

Abstract

Nuclear charge distributions based on spherical Hartree-Fock calculations are employed to study the elastic electron scattering on some (spherical as well as deformed) 1p-shell nuclei. Extension to the deformed nuclei is made using the quadrupole-scattering theory. The nuclei studied are (He'), Li6 , C 12 , N 14 and 0. Fair agreement with the experimental data is obtained for not-too-large momentum transfers. § l. Introduction The nuclear charge distributions based on Hartree-Fock or projected Hartree­ Fock calculations!) are some of the non-phenomenological charge distributions em­ ployed to analyse the elastic electron scattering data on light nuclei. Charge densities based on Brueckner-Hartree-Fock calculations have also been tested suc­ cessfully in this respect.') Recently a model-independent method of determination of charge radius of a spin-zero light nucleus has been proposed.3l The method is based on the hypothesis of analyticity of the form factor in the complex q 2 plane. In this paper we have employed charge distributions based on spherical Hartree-Fock (HF) calculations4l along with the quadrupole-scattering theory to study the elastic electron scattering on some (spherical as well as deformed) 1P-shell nuclei. These HF wave functions have as their basis the Yale effective interaction derived by Shakin et al., 5l using a unitary-model-operator approach and they take into account short-range central nucleon-nucleon correlations. The cor­ rections due to the Coulomb energy and the centre-of-mass motion of the nucleus are incorporated in these calculations in a self-consistent manner. The resulting HF single particle energy levels are in fair agreement with the experimental data. The agreement of the calculated binding energies and the rms radii, however, is not as good, because the second order terms in the K-matrix are not included self-consistently.