A Phenomenological Optical Model Potential for ¹²C(⁶Li,⁶Li')

    An effective potential for the scattering of ¹²C(⁶Li, ⁶Li') was developed utilizing a phenomenological optical model (OM) potential. The OM potential was developed using elastic cross section data from a past experiment with a 343 MeV ⁶Li beam. The measurements were taken at the Research Center of Nuclear Physics. Momentum analyzing spectra underwent the standard ROOT based particle identification (PID), spectra straightening, and instrumental background subtraction processes. The phenomenological OM potentials consist of a Woods-Saxon form factor for the real and imaginary central potentials along with a Coulomb potential. The OM potential was able to reproduce the elastic cross sections with a reduced chi squared of χ² = 233 and reproduced the angular distribution of the 4.4 MeV 2₁⁺, 7.6 MeV 0₁⁺, and the 9.6 MeV 3₁^- states with minor caveats. An automated fitting routine was developed utilizing the nuclear interaction program ECIS, that both aided the development of this OM and can be applied towards scattering processes with heavier nuclei.