Toroidal collective motions in the atomic nucleus

Abstract

The work deals with one of the topics of collective motion. In the frame of Nuclear Fluid Dynamics, a model which portrays the nuclear matter as a quantum elastic body, the torus-like motions and their associated energies are computed using the thirteen moment approximation. The spin-dependent collective excitations, with toroidal electromagnetic structure, are studied by means of the Generalized Goldhaber-Teller model, with emphasize on the 1$^{-}$ spin-flip mode and its excitation in spherical nuclei by inelastic electron scattering. We discuss the importance of toroidal contributions in the inclusive electron scattering $(e, e')$ and exclusive coincidence electron scattering $(e, e'\gamma)$. In order to extract the toroidal multipole, we use the backscattering angles in the first mentioned reaction, and the separation of the longitudinal/transverse interference in the second case. The introduction of a quantity which accounts for the deviations from the Siegert theorem, shows the importance of toroidal quadrupole transitions at high-momentum transfer.