Elastic scattering of 3He nuclei on 13C nuclei at 50 and 60 MeV and V-W ambiguity in choosing optical potentials

Study of the 13C(3He, α)12C reaction at energies of 50 and 60 MeV

“…The angular distribution for the reaction ( 3 He, α) with the transition to the ground (0 + ) state of 12 C, measured at a beam energy of 50 MeV (figure 3), has a rainbow-like form. This is similar to the behavior of elastic scattering at the same energy, where the effects of a nuclear rainbow are well pronounced [21]. For the ground state populated by the ( 3 He, α) reaction, as found in the elastic scattering, a minimum is observed, followed by a broad maximum at an angle of ∼45°and a smooth exponential decay (toward large angles).…”

“…The main ingredients required to perform CCBA calculations are: the 3 He+ 13 C (entrance channel) and α+ 12 C (exit channel) potentials at appropriate energies, as well as 12 C+n and 3 He+n binding potentials. For this purpose, the 3 He+ 13 C experimental angular distributions at 50.5 and 60 MeV [21] are reanalyzed semi-microscopically using the double folding optical model DFOM as shown in figure 5. In this model, the real part of the potential is constructed by folding 3 He and 13 C ground state densities with the nucleon-nucleon CDM3Y4 interaction [23] in addition to an imaginary surface term with the conventional Woods-Saxon (WS) shape and spin-orbit term due to the spin (1/2) of 3 He.…”