Extraction of optical model parameters for $^{\mathrm{90}}$Zr($^{\mathrm{6}}$Li,$^{\mathrm{6}}$Li') at 60 MeV/u using a Markov Chain Monte Carlo algorithm*

The nuclear incompressibility is a fundamental property of nuclear matter which is critical for modeling astrophysical processes. The isoscalar giant monopole resonance (ISGMR) is the most direct means to extract the incompressibility from finite nuclei. $^{\mathrm{6}}$Li can be used in studies of the ISGMR with radioactive ion beams. However, before measurements with radioactive ion beams may begin, the optical model parameters for $^{\mathrm{6}}$Li scattering need to be determined. To determine the optical model parameters, the elastic angular distributions of the $^{\mathrm{90}}$Zr($^{\mathrm{6}}$Li,$^{\mathrm{6}}$Li') reaction were measured using the Grand Raiden spectrometer at the Research Center for Nuclear Physics at Osaka University. Experimental density distributions were used for the projectile and target nuclei to generate realistic volume potentials for the DWBA calculations. The optical model code, ECIS, and a Markov Chain Monte Carlo (MCMC) algorithm were employed to constrain the remaining optical model parameters for the reaction. The MCMC algorithm sampled from the 11-dimensional parameter space to visualize parameter probability distributions, from which the ideal optical model parameters were extracted. The results and implications for future work will be presented.