Cluster structures and superdeformation in ${}^{28}$Si

Abstract

We have studied positive-parity states of ${}^{28}$Si using antisymmetrized molecular dynamics (AMD) and multi-configuration mixing (MCM) with constrained variation. Applying constraints to the cluster distance and the quadrupole deformation of the variational calculation, we have obtained basis wave functions that have various structures such as $\alpha$-${}^{24}$Mg and ${}^{12}$C-${}^{16}$O cluster structures as well as deformed structures. Superposing those basis wave functions, we have obtained a oblate ground state band, a $\beta$ vibration band, a normal-deformed prolate band, and a superdeformed band. It is found that the normal-deformed and superdeformed bands contain large amounts of the ${}^{12}$C-${}^{16}$O and $\alpha$-${}^{24}$Mg cluster components, respectively. The results also suggest the presence of two excited bands with the developed $\alpha$-${}^{24}$Mg cluster structure, where the inter-cluster motion and the ${}^{24}$Mg-cluster deformation play important roles.

24 pages, 10 figures

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Cited by in corpus (20)

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• Cluster formations in deformed states for ${}^{28}$Si and ${}^{32}$S
• Alpha clustering in ${}^{28}$Si probed through the identification of high-lying $0^{+}$ states
• Inversion doublets of reflection-asymmetric clustering in 28Si and their isoscalar monopole and dipole transitions
• Beyond-mean-field study of the hyperon impurity effect in hypernuclei with shape coexistence
• The possibility of ${}^{14}$C cluster as a building block of medium mass nuclei
• Isoscalar giant monopole resonance in ${}^{24}$Mg and ${}^{28}$Si: Effect of coupling between the isoscalar monopole and quadrupole strength
• ${}^{12}\mathbf{C}+{}^{16}\mathbf{O}$ molecular resonances at deep sub-barrier energy
• Isoscalar monopole and dipole transitions in ${}^{24}$Mg, ${}^{26}$Mg and ${}^{28}$Si
• ${}^{16}$O + ${}^{16}$O molecular structures of positive- and negative-parity superdeformed bands in ${}^{34}$S
• Triaxial superdeformation in ${}^{40}$Ar
• Search for Jacobi shape transition in A $\sim 30$ nuclei
• Present status of nuclear cluster physics and experimental perspectives
• Transition properties of low-lying states in ${}^{28}$Si probed via inelastic proton and alpha scattering
• High spin structures in the $A\approx 40$ mass region: from superdeformation to extreme deformation and clusterization (an example of ${}^{28}$Si)
• alpha+28Si and 16O+16O molecular states, and their isoscalar monopole strengths
• $\alpha$-cluster excited states in ${}^{32}$S
• Clustering effects induced by light nuclei