Study of ${}^{113}$In($\alpha ,\alpha$) elastic scattering to determine $\alpha$-optical potential relevant for astrophysical $\gamma$-process

Abstract

The $\alpha$-optical potential is one of the key input parameters used to measure the reaction rate of the ($\gamma ,\alpha$)-process using the Hauser-Feshbach(HF) statistical model and the principle of detailed balance. $\alpha$-elastic scattering experiment on ${}^{113}$In $p$-nucleus was carried out in the energy range E${}_{lab}$=26$-$32 MeV. The vacuum evaporation technique was used to prepare the ${}^{113}$In target~($\sim$86 $\mu$g/cm${}^2$). An energy-dependent local optical potential parameters set was obtained by analysing the experimental elastic scattering angular distribution data. The local potential parameters are extrapolated for lower energies and are used to measure the ${}^{113}$In($\alpha ,\gamma$) reaction cross-section.