Isoscalar Giant Dipole Resonances in Spherical Nuclei - Macroscopic Description

Abstract

The properties of the Isoscalar Giant Dipole Resonance (ISGDR) and its electromagnetic structure are investigated within a semiclassical nuclear Fermi-Fluid dynamical approach. Microscopical calculations pointing to a ISGDR distribution splitted into two main broad structures is confirmed within the presented macroscopic approach by the occurence of a ''low-lying'' and a ''high-lying'' state, that are nothing else than the first two overtones of the same resonance. Macroscopically they are pictured as a combination of compressional and vortical nuclear flows. In the second part of the paper the electromagnetic structure of the ISGDR, relevant for reactions with inelastically scattered electrons, and the relation between the vorticity and the toroidal dipole moment is analyzed. The relative strengths of the compresional and vortical collective currents is evaluated by means of electron-scattering sum-rules.