The nucleon differential elastic scattering cross sections, the total proton reaction cross sections, and the single-particle energies of nucleon bound states for 40 Ca, 90 Zr, and 208 Pb nuclei are reanalyzed in terms of the dispersive optical model at energies ranging from -75 MeV to 60 MeV. The resultant real effective Woods-Saxon potential, which corresponds to the dispersive potential, is studied as dependent on A, Z, and E and on projectile specie (proton or neutron). For the first time, a parameterization of the Woods-Saxon real part of the nucleonnucleus optical potential is proposed for the 208 40 A nuclei at energy ranging from -60 MeV to +60 MeV, including a range near the Fermi energy. The parameterization reflects the dispersion relation between the real and imaginary parts of the optical model potential through the energy dependence of the radius parameter of the real part of the potential. The method to determine the imaginary part of the optical model potential, which is symmetrical relative to the Fermi energy, is also proposed for the 208 40 A nuclei. The differential elastic scattering cross sections, the total neutron interaction cross sections, the total proton reaction cross sections, and the single-particle energies of the nucleon bound states calculated in terms of the proposed nucleon-nucleus potential parameterization for some of the n,p+A ( 40 A) systems are compared with the available experimental data, yielding a fairly good agreement.

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Abstract. New data on proton and neutron single-particle energies E nlj of Si isotopes with neutron number N from 12 to 28 as well as occupation probabilities N nlj of single particle states of stable isotopes 28,30 Si near the Fermi energy were obtained by the joint evaluation of the stripping and pick-up reaction data and excited state decay schemes of neighboring nuclei. The evaluated data indicate following features of single-particle structure evolution: persistence of Z = 14 subshell closure with N increase, the new magicity of the number N = 16, and the conservation of the magic properties of the number N = 20 in Si isotopic chain. The features were described by the dispersive optical model. The calculation also predicts the weakening of N = 28 shell closure and demonstrates evolution of bubble-like structure of the proton density distributions in neutron-rich Si isotopes.PACS. 21.10.Pc Single-particle levels and strength functions -24.10.Ht Optical and diffraction models