Fine structure of the nuclear scissors mode (new type of collective motion)

The coupled dynamics of low-lying modes (including scissors) and various giant quadrupole resonances are studied with the help of Wigner Function Moments method generalized to take into account spin degrees of freedom. Equations of motion for collective variables are derived on the basis of Time Dependent Hartree-Fock equations in the model of harmonic oscillator with spin orbital interaction plus quadrupole-quadrupole residual interaction. Enlisting the spin allows one to introduce into consideration new types of nuclear collective motion.