Neutron number dependence of interference in two-neutron transfer reactions and the nuclear deformation

By making use of a simple model for the nuclear deformation, the neutron number dependence of the form factors for inelastic scattering and two-neutron transfer processes are discussed for even-even deformed nuclei in the rare earth region. The form factor amplitudes are expressed in terms of the Legendre polynomials, whose argument is a function of the neutron number. It is easy to understand, in the perturbative sense, a neutron number dependence of the interference between the direct and two-step processes observed in (p,t) reactions leading to the 0sub(g)+ and 21+ states. The interference for the 21+ state in deformed nuclei shows a striking parallelism with that for the quadrupole vibrational state in spherical nuclei. (auth.)