Mean-field approximation for finite nuclei and nuclear matter
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We discuss a realistic case of fitting the values of the Skyrme parameters to an extensive set of experimental data on the ground-state properties of many nuclei ranging from normal to exotic ones. We include, in particular, the radii for valence neutron orbits and the breathing-mode energies for several nuclei. We further constrain the values of the Skyrme parameters by requiring positive values for the slope of the symmetry energy S, the enhancement factor, associated with the isovector giant dipole resonance, and the Landau parameter G 0' . We also present results of Hartree- Fock based random phase approximation for the excitation strength function of the breathing mode and discuss the current status of the nuclear matter incompressibility coefficient.