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Excitation of pairing vibrations in superfluid nuclei is studied by using akinetic model based on the Vlasov equation with pairing, derived from thetime-dependent Hartree-Fock-Bogolyubov theory. The anomalous density responsefunction is used to find the monopole pairing mode and the dynamic variation ofthe pairing gap associated with this mode. The spectroscopic factor for theexcitation of monopole pairing vibrations in two-neutron transfer reaction isestimated. It is found that the pairing correlations give rise to the samecoherent contribution to the semiclassical spectroscopic factor as to thecorresponding quantum expression, which is essentially determined by thedistribution of the neutron levels near the Fermi energy. A numericalevaluation of the reduced spectroscopic factor for the excitation of monopolepairing vibrations in two-neutron transfer reaction in superfluid nuclei showsthat it does not exceed several percent of the spectroscopic factor for thetransfer of two neutrons to the ground state. This estimate is in agreementwith the experimental data obtained for the ratio of the cross section for theexcitation of 0+state in the (p,t) reaction in the energy region of doublepairing gap to the cross section for the excitation of the ground state forsuperfluid nuclei of the rare-earth and actinide regions.

Kinetic model of excitation of pairing vibrations in superfluid nuclei