Relativistic quasiparticle description of the structure of finite nuclei

In previous work we have constructed an effective interaction for use in Dirac-Hartree-Fock calculations of the structure of finite nuclei. Our goal has been to study the properties of finite nuclei using an effective interaction which is derived from an interaction that fits the free-space nucleon-nucleon scattering data. In this work we report of the results of our calculations for ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$. We have performed these calculations in momentum space and have maintained translational invariance in our analysis. We find a good representation of the charge density of these nuclei and some degree of underbinding, which, in part, reflects the underbinding of nuclear matter for the one-boson-exchange potentials whose reaction matrices are simulated by our effective interaction. (Comparison is made to the recent work of Müther, Machleidt, and Brockman, who have performed a Dirac-Brueckner-Hartree-Fock calculation of the properties of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$.)