  In the framework of the model of the polar singlet-triplet Jahn-Teller
centers the cross-section is obtained for magnetic neutron scattering in
high-$T_{c}$ cuprates. Multi-mode character of the $CuO_{4}$ cluster ground
manifold in the new phase of polar centers determines the dependence of
magnetic form-factor on the local structure and charge state of the center. It
is shown that magnetic inelastic neutron scattering in the system of the polar
singlet-triplet Jahn-Teller centers permits to investigate the non-magnetic
charge and structure excitations.
