Cluster formations in deformed states for ${}^{28}$Si and ${}^{32}$S

Abstract

We study cluster formation in strongly deformed states for ${}^{28}$Si and ${}^{32}$S using a macroscopic-microscopic model. The study is based on calculated total-energy surfaces, which are the sums of deformation-dependent macroscopic-microscopic potential-energy surfaces and rotational-energy contributions. We analyze the angular-momentum-dependent total-energy surfaces and identify the normal- and super-deformed states in ${}^{28}$Si and ${}^{32}$S, respectively. We show that at sufficiently high angular momenta strongly deformed minima appear. The corresponding microscopic density distributions show cluster structure that closely resemble the ${}^{16}$O+${}^{12}$C and ${}^{16}$O+${}^{16}$O configurations. At still higher deformations, beyond the minima, valleys develop in the calculated surfaces. These valleys lead to mass divisions that correspond to the target-projectile configurations for which molecular resonance states have been observed. We discuss the relation between the one-body deformed minima and the two-body molecular-resonance states.

6 pages, 7 figures

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• Alpha-particle condensation: a nuclear quantum phase transition
• Optimization of basis functions for the multi-configuration mixing using the Replica Exchange Monte-Carlo method and its application to ${}^{12}$C
• Search for three alpha states around an ${}^{16}$O core in ${}^{28}$Si
• Search for Jacobi shape transition in A $\sim 30$ nuclei
• Present status of nuclear cluster physics and experimental perspectives
• Signature of clustering in quantum many body systems probed by the giant dipole resonance
• Monopole and dipole transitions of the cluster states of 18O
• alpha+28Si and 16O+16O molecular states, and their isoscalar monopole strengths
• Electromagnetic Decay of Molecular States
• Clustering effects induced by light nuclei
• Search for 28Si cluster states through the 12C+16O radiative capture