Determination of Deformation Parameters ofNe20andNe22by Inelastic Scattering of Polarized Protons

Abstract

Measurements of cross sections and analyzing powers have been made for the inelastic scattering of 24.5-MeV polarized protons leading to the lowest $0^{+}$, $2^{+}$, and $4^{+}$ states in ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ and ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$. The results for both ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ and ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$ are best reproduced when the full Thomas form of the deformed, spin-dependent optical potential is employed in a coupled-channel calculation. In contrast to ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$, the results for ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$ indicate that only a small hexadecapole deformation is needed to reproduce both the cross sections and the analyzing powers for the ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$ ground-state rotational band.