Si. Bastrukov et al., ELASTODYNAMIC FEATURES OF NUCLEAR-MATTER FROM MACROSCOPIC MODEL OF GIANT MAGNETIC RESONANCES, International journal of modern physics E, 6(1), 1997, pp. 89-110
The collective model is presented providing a descriptive treatment of
the magnetic resonant response of spherical nuclei. The model is base
d on macroscopic equations assuming elastodynamic behavior of the nucl
ear Fermi-continuum. Modelling a heavy nucleus by a spherical piece of
an elastic continuous substance made up of a degenerate Fermi-system
of nucleons, it is argued that nuclear resonant magnetization may be i
nterpreted as the resultant of torsional wavelike vibrations excited i
nside a nuclear macroparticle. The emphasis is placed on the descripti
on of the giant magnetic dipole resonance. This resonance is associate
d with long wavelength vibrations of the magnetization current induced
in the peripheral layer of finite depth, whereas the internal spheric
al region presumably unaffected by external perturbations is considere
d as an unperturbed core. The excited collective motion is found to be
have like shear non-radial vibrations of a massive peripheral layer ag
ainst a rotationally invariant core. The Extended Thomas-Fermi method
is employed to generate a bulk density profile on the basis of Skyrme
forces which is used as an input parameter in calculations of torsiona
l inertia and stiffness of the collective Hamiltonian. Systematic calc
ulations for the energy and total excitation probability of the giant
M1 resonance are compared with data obtained both by nuclear resonance
fluorescence measurements and by means of backward (e, e') scattering
.