The isovector Giant Dipole Resonance (GDR) and related spin-dependent excitations in heavy even-even deformed axially symmetric nuclei are studied within the Wigner Function Moments method. The calculations are based on the Time Dependent Hartree-Fock (TDHF) equations for the density matrix. The Fourier (Wigner) transformation converts the initial TDHF equations into the equations for the spin-dependent Wigner function. Integrating these equations over the phase space (r, p) with the weights r_µ and p_µ one gets the equations that describe the coupled dynamics of the first rank tensors associated with the electrical dipole (E1) and magnetic quadrupole (M2) responses. The obtained equations are solved in the small amplitude approximation.
The energies and exitation probabilities of K = 0 and K = 1 GDR components are calculated. The influence of spin degrees of freedom on the GDR characteristics is studied. Spin-orbit interaction gives rise to the electric dipole spin excitations. The electric dipole excitations are accompanied by the magnetic quadrupole excitations. The energies of M2 isovector and isoscalar resonances and the spin contribution to the corresponding transition strengths are estimated. The splitting of M2 excitations, caused by the deformation, is discussed.