# Nonlocalized cluster dynamics and nuclear molecular structure

Abstract : A container picture is proposed for understanding cluster dynamics where the clusters make nonlocalized motion occupying the lowest orbit of the cluster mean-field potential characterized by the size parameter $''B"$ in the THSR (Tohsaki-Horiuchi-Schuck-R\"{o}pke) wave function. The nonlocalized cluster aspects of the inversion-doublet bands in $^{20}$Ne which have been considered as a typical manifestation of localized clustering are discussed. So far unexplained puzzling features of the THSR wave function, namely that after angular-momentum projection for two cluster systems the prolate THSR wave function is almost 100$\%$ equivalent to an oblate THSR wave function is clarified. It is shown that the true intrinsic two-cluster THSR configuration is nonetheless prolate. The proposal of the container picture is based on the fact that typical cluster systems, 2$\alpha$, 3$\alpha$, and $\alpha$+$^{16}$O, are all well described by a single THSR wave function. It will be shown for the case of linear-chain states with two and three $\alpha$-clusters as well as for the $\alpha$+$^{16}$O system that localization is entirely of kinematical origin, that is, due to the inter-cluster Pauli repulsion. It is concluded that this feature is general for nuclear cluster states.
Document type :
Journal articles

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Contributor : Sophie Heurteau <>
Submitted on : Monday, January 6, 2014 - 2:36:53 PM
Last modification on : Thursday, November 19, 2020 - 3:52:33 PM

### Citation

B. Zhou, Y. Funaki, H. Horiuchi, Zhuoxiang Ren, G. Röpke, et al.. Nonlocalized cluster dynamics and nuclear molecular structure. Physical Review C, American Physical Society, 2014, 89, pp.034319. ⟨10.1103/PhysRevC.89.034319⟩. ⟨in2p3-00924166⟩

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