Dispersive coupled-channels optical-model potential with soft-rotator couplings for Cr, Fe, and Ni isotopes
Rui Li, Weili Sun, E. Sh. Soukhovitskiĩ, J. M. Quesada, and R. Capote
Accepted
An approximate Lane-consistent dispersive coupled-channel optical potential is derived that \mbox{describe} nucleon induced reactions on even iron isotopes. Realistic saturated couplings for $^{54,56,58}$Fe nuclei were built using nuclear wave functions of soft rotator model with the Hamiltonian parameters adjusted to reproduce the energy of the low-lying collective levels of these isotopes. E2-- and E3--transition probabilities between low-lying collective levels are well reproduced. The comprehensive experimental database used in the fitting process included all scattering data for neutron and proton scattering up to 200 MeV on iron nuclei. Derived potential is shown to be applicable to Ni and Cr isotopes, assuming the applicability of soft-rotator model to these nuclei, and to the odd $^{57}$Fe nucleus within the rigid rotor model. Approximate Lane consistency of the derived potential was validated by describing the quasi-elastic (p,n) scattering with excitation of isobaric analogue states. Elastic and inelastic analyzing powers both for neutron and proton induced reactions were shown to be in good agreement with experimental data demonstrating the reliability of derived dispersive spin-orbit potential.