Be-$\alpha$ correlations in the linear-chain structure of C isotopes

Abstract

We investigate the linear-chain structures in highly excited states of ${}^{14}$C using a generalized molecular orbital model, by which we incorporate an asymmetric configuration of three $\alpha$ clusters in the linear-chain states. By applying this model to the ${}^{14}$C system, we study the ${}^{10}$Be+$\alpha$ correlation in the linear-chain state of ${}^{14}$C. To clarify the origin of the ${}^{10}$Be+$\alpha$ correlation in the ${}^{14}$C linear-chain state, we analyze linear $3\alpha$ and $3\alpha +n$ systems in a similar way. We find that a linear 3$\alpha$ system prefers the asymmetric 2$\alpha +\alpha$ configuration, whose origin is the many body correlation incorporated by the parity projection. This configuration causes an asymmetric mean field for two valence neutrons, which induces the concentration of valence neutron wave functions around the correlating 2$\alpha$. A linear-chain structure of ${}^{16}$C is also discussed.

13 pages, 8 figures

References in corpus (2)

• Cluster structures of excited states in ${}^{14}$C
• Quadrupole Deformation $\beta$ and $\gamma$ Constraint in a Framework of Antisymmetrized Molecular Dynamics

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• 3alpha clustering in the excited states of 16C
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• Three-body decay of linear-chain states in ${}^{14}$C
• Characteristic αand ^{6}He decays of the linear-chains in ^{16}C
• Cluster structures and monopole transitions of ${}^{14}$C
• Shape of 13C studied by the real-time evolution method
• Correlated-Gaussian approach to linear-chain states -Case of four $\alpha$-particles-
• ${}^{10}$B+$\alpha$ states with chain-like structures in ${}^{14}$N
• Drastic change in inelastic scattering depending on the development of dineutron correlation in ${}^{10}$Be