Abstract
Abstract We apply the tensor version of the antisymmetrized quasi-cluster model (AQCM-T) to $^4\textrm{He}$ and $^8\textrm{Be}$ while focusing on the $NN$ correlations in $\alpha$ clusters. We adopt the $NN$ interactions including realistic ones containing a repulsive core for the central part in addition to the tensor part. In $^4\textrm{He}$, the $pn$ pair in the $^3D$ channel has been known to play a decisive role in the tensor correlation and the framework is capable of treating not only this channel but also the $NN$ correlations in the $^1S$ and $^3S$ channels. In $^8\textrm{Be}$, when two $\alpha$ clusters approach, the $^3D$ pair is suppressed because of the Pauli blocking effect, which also induces a decrease in the $^3S$ component through the $^3S$–$^3D$ coupling. These coherent effects result in the reduction of the attractive effect of the central-even interaction in the middle-range region and keep the distance between two $\alpha$ clusters.
Highlights
The 4He nucleus is a strongly bound many-nucleon system in the light mass region, the α clusters can be basic building blocks of the nuclear structure
Nucleons are correlated owing to the repulsive core in the short-range part of the central interaction, and this effect is not explicitly treated in the conventional structure models including cluster models
Concerning the rank one non-central interaction, the spin-orbit interaction, we proposed the antisymmetrized quasi cluster model (AQCM) [23,24,25,26,27,28,29,30,31,32,33,34]
Summary
The 4He nucleus is a strongly bound many-nucleon system in the light mass region, the α clusters can be basic building blocks of the nuclear structure. Nucleons are correlated owing to the repulsive core in the short-range part of the central interaction, and this effect is not explicitly treated in the conventional structure models including cluster models. These days, such N N correlation is widely discussed based on modern ab initio theories in very light nuclei and in medium-heavy nuclei [9,10,11,12,13].
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