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

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• Structure and rotations of the Hoyle state
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• Evidence for Triangular D_3h Symmetry in 12C
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• Simplified modeling of cluster-shell competition in ${}^{20}$Ne and ${}^{24}$Mg
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• Isoscalar monopole and dipole excitations of cluster states and giant resonances in ${}^{12}$C
• Consistent description of 12C and 16O using finite range three-body interaction
• The possibility of ${}^{14}$C cluster as a building block of medium mass nuclei
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Cited by in corpus (7)

• Density profiles near nuclear surface of ${}^{44,52}$Ti: An indication of $\alpha$ clustering
• Imprints of $\alpha$ clustering in the density profiles of ${}^{12}$C and ${}^{16}$O
• Evidence of bicluster structure in the ground state of ${}^{20}$Ne
• Role of Tensor Interaction as Salvation of Cluster Structure in ${}^{44}$Ti
• Cluster-shell competition and effect of adding hyperons
• Persistence of cluster structure in the ground state of ${}^{11}$B
• On deformability of atoms---comparative study between atoms and atomic nuclei