Hyperdeformed states in 36Ar and 48Cr in the cranked cluster model

The pure harmonic oscillator model predicts a family of axially symmetric hyperdeformed states with 3:1 major to minor axis ratios. Two members of this family have previously been identified in 12C and 24Mg within the Bloch-Brink alpha-cluster model. Here we present cranked cluster model calculations for similar hyperdeformed states in 36Ar and 48Cr. We suggest that the configuration in 48Cr is associated with resonances observed in 24Mg+24Mg scattering, while that in 36Ar may be involved in the excitation of the 12C+12C barrier resonances reported recently in the 12C(24Mg, 12C, 12C)12C reaction and also the excitation of those resonance previously observed in the 20Ne+16O reaction. (orig.)