Brueckner Theory of Finite Nuclei with a One-Boson-Exchange Interaction

Abstract

<p>A fully momentum-dependent one-boson-exchange potential due to the exchange of the mesons π, η, σ, ρ, ω and ν, is derived. The study of its scattering, bound states and nuclear matter properties is carried out in momentum space where its use is shown to be as easy as the use of more simple phenomenological interactions. It is found that two-body and bound states data are reproduced to a degree of accuracy comparable with recently derived interactions. In nuclear matter the saturation density and the total binding energy, with two-body and an approximate treatment of three-body correlations, are found to be an reasonable compromise between two extremes which bracket the empirical values, namely the right density and small binding produced by the Reid potential and the high density and overbinding of the potential of Spring-de Tourreil. The properties of this theoretically based interaction are then studied in ⁴He, ¹⁵O and ⁴⁰Ca. A method of solution of the Brueckner equation in the finite nuclei is used which takes into account the physical evidence of the existence of an "open-shell". The importance of a proper treatment of this "open-shell" is clearly emphasized. A parametrization of the Brueckner single-particle potential is envisaged. It is based on the existence of a formal expression for this one-body potential when the effective interaction G is assumed to be of the σ-function type. Advantages and limitations of this parametrization are discussed with respect to the problem of Brueckner self-consistency, potential energy of the states in the "open-shell" and rearrangement effects. This one-boson-exchange potential is found to give good single particle spectra and binding energies of the nuclei studied in an oscillator model.</p>