Finite-range distorted-wave Born-approximation analysis of strongly oscillating angular distributions of heavy-ion reactions

Angular distributions of the ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{36}{}_{}{}^{}\mathrm{Ar}$ reaction are characterized by strong oscillations for the ground state and to a lesser extent for the first excited state for $E_{\mathrm{lab}}=45\mathrm{}$ MeV. We show that such a process can be described by a finite-range no recoil distorted-wave Born-approximation analysis using weakly absorbing optical model potentials and an $\alpha$-particle cluster model description of the nuclei involved. Good fits to the data were obtained with this model. The influence of different choices of optical model potentials is examined.