Abstract

Differential cross sections for elastic and inelastic \ensuremath{\alpha}- scattering on $^{36}\mathrm{Ar}$ have been measured at 40, 48, and 54 MeV. The data have been analyzed in the coupled-channel approach using double-folded optical \ensuremath{\alpha}${\mathrm{\ensuremath{-}}}^{36}$Ar potentials considering the model of the symmetric rotator and the harmonic vibrator. The octupole transition probability deduced in the harmonic-vibrator model is almost identical to the value obtained from electromagnetic probes. In the symmetric-rotator model only the choice of negative ${\mathrm{\ensuremath{\beta}}}_{2}$ and ${\mathrm{\ensuremath{\beta}}}_{4}$ deformation parameters results in consistent fits to the data at all incident energies. This unambiguously proves the oblate shape of $^{36}\mathrm{Ar}$. The volume integrals and rms radii of the extracted optical potentials fit well into the systematics obtained for lighter sd-shell nuclei.

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