Alpha-Like Spatial Four-Body Correlations in Light Nuclei

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Abstract
Spatially correlated modes of the extra four particles in the core plus four-particle system are investigated on the basis of the (major-shell-mixing) shell-model picture. New bases of the four-body configurations are introduced to represent both the shell-model character and the α-like-clustering nature of the four particles. The bases define a subspace in which the single-particle shell-model states are vertically truncated with the [4] symmetry. The model is applied to the study of the low-lying even-parity levels of 20Ne, reproducing well the levels in the ground band with the use of the residual interaction much weaker than that used in the sd shell model. Spatial correlations and higher-shell-mixing effects in the calculated states are investigated from the various viewpoints.

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