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

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

2010-12-20

arxiv.org/abs/1012.4311v2

Phys.Rev.C83:054319,2011

Physics

Nuclear Physics

Nuclear Theory

6 pages, 7 figures

Scientific paper

10.1103/PhysRevC.83.054319

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.

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