Wood–Saxon alpha potential for p-nuclei 106Cd and 113In

Alpha elastic scattering of [Formula: see text]-nuclei was studied for calculating optical potentials. Choice of the [Formula: see text]-optical potentials is important to measure the reaction rates of [Formula: see text]-process. [Formula: see text] and [Formula: see text] elastic scattering cross-section data were used to determine the potential parameter sets at [Formula: see text][Formula: see text]MeV for [Formula: see text] and [Formula: see text], 18.8[Formula: see text]MeV for [Formula: see text] system. A Wood–Saxon potential form factor is used for both real and imaginary parts. The potential parameters extracted in the present study exhibit a satisfactory result with respect to existing global potential parameters.

Analyses of alpha–alpha elastic scattering data in the energy range 53.4–119.9 MeV

The differential and reaction cross sections for alpha–alpha elastic scattering at energies ranging from 50 to 120 MeV (lab. system) have been clearly explained for the first time, by using a new optical potential type. This potential, which is different from all other proposed potentials, is composed of two real parts: one is an attractive squared Woods–Saxon and the other is a repulsive core of the Woods–Saxon form in addition to a surface Woods–Saxon form for the imaginary part. The nature of the real part has been determined from available phase shifts through using inverse scattering theory for the identical particles at a fixed energy, adopting the framework of the Schrödinger equation. It is found that the repulsive real part is essential for improving the fit to the measured elastic differential cross sections, and in explaining the kink that appears at r < 1.0 fm in the shape of the real part of the potential. Using this new potential, our calculated reaction cross sections are in reasonable agreement with the ones reported by both Darriulat et al. (Phys. Rev. 137, B315 (1965). doi:10.1103/PhysRev.137.B315) and Brown and Tang (Nucl. Phys. A, 170, 225 (1971). doi:10.1016/0375-9474(71)90633-6 ).