High precision $^{113}$In($\alpha,\alpha$)$^{113}$In elastic scattering at energies around the Coulomb barrier for the astrophysical $\gamma$ process

Background: The gamma process in supernova explosions is thought to explain the origin of proton-rich isotopes between Se and Hg, the so-called p nuclei. The majority of the reaction rates for gamma process reaction network studies have to be predicted in Hauser-Feshbach statistical model calculations using global optical potential parametrizations. While the nucleon+nucleus optical potential is fairly well known, for the alpha+nucleus optical potential several different parametrizations exist and large deviations are found between the predictions calculated using different parameter sets. Purpose: By the measurement of elastic alpha-scattering angular distributions at energies around the Coulomb barrier a comprehensive test for the different global alpha+nucleus optical potential parameter sets is provided. Methods: Between 20 degrees and 175 degrees complete elastic alpha scattering angular distributions were measured on the In-113 p nucleus with high precision at E-c.m. = 15.59 and 18.82 MeV. Results: The elastic scattering cross sections of the In-113(alpha, alpha)In-113 reaction were measured for the first time at energies close to the astrophysically relevant energy region. The high precision experimental data were used to evaluate the predictions of the recent global and regional alpha+nucleus optical potentials. Parameters for a local alpha+nucleus optical potential were derived from the measured angular distributions. Conclusions: Predictions for the reaction cross sections of In-113(alpha, gamma)Sb-117 and In-113(alpha, n)Sb-116 at astrophysically relevant energies were given using the global and local optical potential parametrizations.