Abstract
Elastic and inelastic scattering of 800 MeV protons from the axially deformed nucleus ${}^{26}\mathrm{Mg}$ is analyzed using optical potentials obtained from the relativistic impulse approximation (RIA) in Dirac coupled channel formalism. A rotational collective model is used to obtain the transition optical potentials for the low-lying excited states of the ground-state rotational band. The theoretical results agree with the experimental data for the elastic and the ${2}^{+}$ state, and reproduce the ${4}^{+}$ excited state reasonably well. In order to check these RIA results we perform Dirac phenomenological (DP) analysis of the data and obtain the best fit Lorentz scalar and vector optical potentials. RIA and DP optical potentials are compared with those of a similar treatment for 800 MeV protons scattering from ${}^{24}\mathrm{Mg}.$
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