A study of the giant monopole state within the relativistic Thomas-Fermi approximation

Isoscalar giant monopole states in finite nuclei are studied in a relativistic sigma - omega model using a local Lorentz boost and scaling method and the nuclear surface and the density distribution are treated in the relativistic Thomas-Fermi approximation. The excitation energies of the giant resonances are self-consistently calculated. It is found that the excitation energies of a giant monopole are reasonably in agreement with experimental data for all nuclei. The coupling constants and sigma -meson mass in the theory are chosen to fit the static properties of nuclear matter.