A Study of Giant Monopole and Quadrupole States in the Relativistic Thomas-Fermi Approximation11The project supported in part by National Natural Science Foundation of China.

Abstract

The isoscalar giant monopole and quadrupole states in finite nuclei are studied in a relativistic model by making use of 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 giant monopole are basically in agreement with experimental data for all nuclei and those of giant quadrupole for light nuclei. Coupling constants and -meson mass in the theory are chosen to fit static properties of nuclear matter.