Isoscalar giant-resonance energies and long-mean-free path nuclear fluid dynamics

The collisionless Vlasov equation is solved by a moment expansion and truncated after the fourth moments. This scheme yields fluid dynamical equations for the eigenvibrations of a nucleus which are beyond the usual elastic equations. These Euler equations are solved exactly and also approximately for the normal parity (electric, surface) modes $2^{+}$, first excited $2^{+}$, $3^{-}$, $4^{+}$, the abnormal parity (magnetic, twist) modes $1^{+}$, $2^{-}$, and the compression (breathing and squeezing) modes $0^{+}$, $1^{-}$. Without adjustable parameters, agreement of the resulting giant resonance energies with experimental data, where available, is reasonably good. Since the corrections due to the inclusion of the third and fourth moments enhance the energies by up to 35%, the moment expansion coverges only slowly.