We compute the magnetic quadrupole strength function in heavy spherical and
deformed nuclei in proton-neutron random-phase approximation using a separ
able Hamiltonian that couples magnetic and electric channels and adopting a
technique that avoids the diagonalization of the eigenvalue matrix. We int
end to check if the different sensitivity of the spin dipole and orbital re
sponses to the multipole terms of the Hamiltonian leads to an energy separa
tion of the two modes sufficient for the identification of the twist mode.
We explore also the possibility of a K splitting induced by deformation, in
analogy to the electric giant dipole resonance. also briefly studied for t
he sake of completeness.