The effective DBHF method for finite nuclei

A density dependent effective interaction in the relativistic Mean-Field (R MF) theory was adopted to reproduce the Dirac-Brueckner-Hartree-Fock (DBHF) results and applied to study the ground state properties of finite nuclei for both stable and unstable nuclei, especially Ca and Pb isotope chains. T he coupling constants of sigma and omega mesons are density dependent and p arameterized by reproducing the scalar and vector potentials of the DBHF re sults at each density in the RMF approximation. In this way the RMF approac h is equivalent to the relativistic DBHF method, which is usually called th e density dependent RMF approach (DDRMF). Rearrangement self energies in th e DDRMF were obtained by a variational derivatives of the vertices in the e ffective Lagrangian. It was found that the rearrangement terms in the DDRMF provide a repulsive potential in the Dirac equation. The single particle e nergy levels become less bound and the nuclear radius is expanded. In contr ast the proper total binding energy was obtained by subtracting the rearran gement energy, which compensates the weak binding of the single particle st ates. As a result, the total binding energy is slightly increased. The grou nd state properties of stable nuclei, such as O-16,Ca-40,Ca-48,Zr-90, and P b-208 Were studied. An improvement of including rearrangement term and good agreement with the experimental data were obtained. The similar effects we re also found in the isotopes of Ca and Pb. It may conclude that the DDRHF is equivalent to the DBHF and an efficient method in the studying of finite nuclear properties. It can be used to describe very well the ground state properties not only stable, but also unstable nuclei without any free param eters.