  The coupled dynamics of low lying modes and various giant resonances are
studied with the help of the Wigner Function Moments method generalized to take
into account spin degrees of freedom and pair correlations simultaneously. The
method is based on Time Dependent Hartree-Fock-Bogoliubov equations. The model
of the harmonic oscillator including spin-orbit potential plus
quadrupole-quadrupole and spin-spin interactions is considered. New low lying
spin dependent modes are analyzed. Special attention is paid to the scissors
modes. A new source of nuclear magnetism, connected with counter-rotation of
spins up and down around the symmetry axis (hidden angular momenta), is
discovered. Its inclusion into the theory allows one to improve substantially
the agreement with experimental data in the description of energies and
transition probabilities of scissors modes.
