Clustering effects inCr48composite nuclei produced via theMg24+Mg24reaction

Abstract

The nuclear properties of $^{48}\mathrm{Cr}$ composite $\ensuremath{\alpha}$-like nuclei produced at 60 MeV of excitation energy via the $^{24}\mathrm{Mg}+^{24}\mathrm{Mg}$ reaction were investigated. This excitation energy corresponds to a resonance with a narrow width (170 keV) observed in the elastic and inelastic channels, which was interpreted as a highly deformed state. To gain insight on the deformation of this state exclusive measurements of light charged particles were carried out with $8\ensuremath{\pi}\mathrm{LP}$ apparatus at Laboratori Nazionali di Legnaro and compared to statistical model predictions. The measured of $\ensuremath{\alpha}$-particle energy spectra, $\ensuremath{\alpha}$-evaporation residues, $\ensuremath{\alpha}\text{\ensuremath{-}}\ensuremath{\alpha}$, and $\ensuremath{\alpha}\text{\ensuremath{-}}\ensuremath{\alpha}\text{\ensuremath{-}}\ensuremath{\alpha}$ correlations indicate the limitation of the rotating liquid drop model in describing the nuclear shape of the compound nucleus along the decay cascade. To reproduce the full set of experimental data very elongated nuclear shapes had to be considered, with an axis ratio $3:1$ at the resonance angular momentum. This large deformation is consistent with previous findings for $\ensuremath{\alpha}$-like nuclei and with the predictions of the cranked cluster model.