Dispersive Optical Potential Regional Research And Analysis Of Polarization Phenomena

A coupled-channels optical model using matrix elements derived by the soft-rotator model is employed to simultaneously describe the low-lying collective level nuclear structure, and the nucleon scattering data at positive energies. We firstly adjusted the soft rotator model Hamiltonian parameters, with the consideration of both quadrupole and octupole dynamic vibrations, to fit the experimentally observed collective levels of54,56,58Fe isotopes. The assignments of the SRM quan-tum numbers for these isotopes allow us to search for the Hamiltonian parameters. These parameters reproduces well the experimental levels with deviations lower than10%. On the other hand, two approaches are used to calculate the effective deformation parameters, equivalent to those deformation parameters β2and β3in the rigid rotor model. The effective β2calculated by our two approaches is within5%of those determined from experimental data. The effective β3is con-sistent with those experimental data, with the largest deviation being lower than10%for54-58Fe nuclei, except for the case of56Fe.This work also derived an approximate Lane-consistent dispersive coupled-channel optical potential that describe nucleon induced reactions on even iron isotopes. Realistic saturated couplings for54,56,58Fe nuclei were built using nuclear wave functions of soft rotator model. The comprehensive experimental database used in the fitting process included all scattering data for neutron and proton scattering up to200MeV 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 odd57Fe nucleus within the rigid rotor model.Meanwhile, a computational method to derive analyzing power in the actual coupled-channel calculations has been given following the Tamura formalism. This method had been incorporated into OPTMAN code.Finally, this potential is used to analyze the total cross sections, proton re-action cross sections, nucleon elastic/inelastic angular distributions,(p,n) data as well as analyzing powers mainly for Fe isotopes. The spherical and DWBA results are also compared. The results show the good agreement is achieved for almost all types of experimental data. Particularly, approximate Lane consis-tency of the derived potential was validated by describing the quasi-elastic (p,n) scattering with excitation of isobaric analogue states. Elastic and inelastic ana-lyzing 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.