Consistent description for cluster dynamics and single-particle correlation

Abstract

Cluster dynamics and single-particle correlation are simultaneously treated for the description of the ground state of ${}^{12}\mathrm{C}$. The recent development of the antisymmetrized quasi cluster model (AQCM) makes it possible to generate $jj$-coupling shell-model wave functions from $\alpha$ clusters models. The cluster dynamics and the competition with the $jj$-coupling shell-model structure can be estimated rather easily. In the present study, we further include the effect of single-particle excitation; the mixing of the two-particle-two-hole excited states is considered. The single-particle excitation is not always taken into account in the standard cluster model analyses, and the two-particle-two-hole states are found to strongly contribute to the lowering of the ground state owing to the pairing-like correlations. By extending AQCM, all of the basis states are prepared on the same footing, and they are superposed based on the framework of the generator coordinate method (GCM).

8 pages, 4 figures

References in corpus (8)

• Structure and rotations of the Hoyle state
• Evidence for Triangular D_3h Symmetry in 12C
• Pair decay width of the Hoyle state and carbon production in stars
• Simplified modeling of cluster-shell competition in ${}^{20}$Ne and ${}^{24}$Mg
• Effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in ${}^{12}$C
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