Dispersive Optical Potential Study for Proton-Nucleus Scattering Using Dispersion Relations

Usually in nucleon-nucleon reactions, optical potential is used to study the nuclear structures resulting from these reactions. As this potential during the reaction is subject to dispersion by the nuclei surface as well as the total size of the nucleus, it is very important to calculate the dispersive behaviour. We present an analytical and numerical expressions used to evaluate the dispersive contribution to the real potential of the imaginary part and surface contribution and applied to 9B+14C at energy 60 MeV. For both imaginary volume and surface potentials, solutions to the nuclear optical model dispersion relation have been obtained. For the volume imaginary term, a typical Brown-Rho shape has been considered with the parameters (n=2,m=2,4), and for the surface contribution, a Brown-Rho shape multiplied by the decreasing exponential. For exponent with any even value appearing in these forms, the analytical solutions are valid. The energy representation of the real and imaginary parts of the OMP is carried out by these approaches.