Scaling Calculation of Isoscalar Giant Resonances in Relativistic Thomas-Fermi Theory

Abstract

We derive analytical expressions for the excitation energy of the isoscalar giant monopole and quadrupole resonances in finite nuclei, by using the scaling method and the extended Thomas-Fermi approach to relativistic mean field theory. We study the ability of several non-linear sigma-omega parameter sets of common use in reproducing the experimental data. For monopole oscillations the calculations agree better with experiment when the nuclear matter incompressibility of the relativistic interaction lies in the range 220-260 MeV. The breathing-mode energies of the scaling method compare satisfactorily with those obtained in relativistic RPA and time-dependent mean field calculations. For quadrupole oscillations all the analyzed non-linear parameter sets reproduce the empirical trends reasonably well.

41 pages, LaTeX, 4 eps figures

References in corpus (3)

• The time-dependent relativistic mean-field theory and the random phase approximation
• Self-consistent description of nuclear compressional modes
• Scaling in Relativistic Thomas-Fermi Approach for Nuclei

Cited by in corpus (11)

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• Nuclear giant quadruple resonance within transport approach and its constraint on nucleon effective mass
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• The effect of self interacting isoscalar-vector meson on finite nuclei and infinite nuclear matter
• Softness of Sn isotopes in relativistic semi-classical approximation
• Compatibility of QCD sum-rules and Hadron field theory in a dense medium