paper

Nucleon-nucleus real potential of Woods-Saxon shape between -60 and +60 MeV for the 40<A<208 nuclei

arXiv:nucl-th/0212098 · doi:10.1088/0954-3899/29/6/318

Abstract

The nucleon differential elastic scattering cross sections, the total proton reaction cross sections, and the single-particle energies of nucleon bound states for 40Ca, 90Zr and 208Pb are reanalyzed in terms of the dispersive optical model at energy ranging from -75 MeV to +60 MeV. The resultant real effective Woods-Saxon potential, which corresponds to the dispersive optical model potential, is studied as dependent on A, Z, and E and on projectile type (proton or neutron). For the first time, a parameterization of the Woods-Saxon real part of the nucleon-nucleus potential is proposed for the 40<A<208 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 40<A<208 nuclei. The differential elastic scattering cross sections, the total 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<208) systems are compared with the available experimental data, yielding a fairly good agreement.

arXiv comment25 pages with 6 figures, numeration of the figures is corrected, minor grammatical changes

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