Isoscalar compression modes within fluid dynamic approach
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We study the nuclear isoscalar monopole and dipole compression modes in nuclei within the fluid dynamic approach (FDA) with and without the effect of relaxation. For a wide region of the medium and heavy nuclei, the FDA predicts that the isoscalar giant monopole resonance (ISGMR) and the isoscalar giant dipole resonance (ISGDR) exhaust about 90% of the corresponding model-independent sum rules. In the case of neglecting the effect of relaxation, the FDA, when adjusted to reproduce the centroid energy [Formula Presented] of the ISGMR, results with centroid energy [Formula Presented] of the ISGDR which is in agreement with the predictions of the self-consistent Hartree-Fock random-phase approximation calculations and the scaling model but significantly larger than the experimental value. We also show that the FDA leads to the correct hydrodynamic limit for the ratio [Formula Presented] We find that the ratio [Formula Presented] depends on the relaxation time and approaches the preliminary experimental value [Formula Presented] in a short relaxation time limit. 2000 The American Physical Society.