$\alpha$-cluster decay from ${}^{24}$Mg resonances produced in ${}^{12}$C(${}^{16}$O,${}^{24}$Mg)$\alpha$ reaction

Abstract

A transfer reaction and cluster-decay experiment, ${}^{12}$C(${}^{16}$O,${}^{24}$Mg$\to$$\alpha$+${}^{20}$Ne)$\alpha$, was performed at a beam energy of 96 MeV. Both recoil and decay $\alpha$ particles were detected in coincidence, allowing us to deduce the energy-momentum of a ${}^{20}$Ne fragment. A number of resonant states of ${}^{24}$Mg were reconstructed up to an excitation energy of approximately 30 MeV. Owing to the experimentally achieved excellent resolutions of the $Q$-value and excitation-energy spectra, the relative decay widths for each resonant state in ${}^{24}$Mg to various final states of ${}^{20}$Ne were extracted, alone with the total decay width. The obtained results provide good testing ground for theoretical descriptions of the multiple clustering configurations in ${}^{24}$Mg.

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