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6He+6He clustering of 12Be in a microscopic algebraic approach

G. F. Filippov·Yu. A. Lashko·S. V. Korennov·K. Kato
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Abstract

The norm kernel of the A=12 system composed of two 6He clusters, and the L=0 basis functions (in the SU(3) and angular momentum-coupled schemes) are analytically obtained in the Fock--Bargmann space. The norm kernel has a diagonal form in the former basis, but the asymptotic conditions are naturally defined in the latter one. The system is a good illustration for the method of projection of the norm kernel to the basis functions in the presence of SU(3) degeneracy that was proposed by the authors. The coupled-channel problem is considered in the Algebraic Version of the resonating-group method, with the multiple decay thresholds being properly accounted for. The structure of the ground state of 12Be obtained in the approximation of zero-range nuclear force is compared with the shell-model predictions. In the continuum part of the spectrum, the S-matrix is constructed, the asymptotic normalization coefficients are deduced and their energy dependence is analyzed.

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G. F. Filippov, Yu. A. Lashko, S. V. Korennov, K. Kato. 2003-11-19. 6He+6He clustering of 12Be in a microscopic algebraic approach. https://doi.org/10.1007/s00601-003-0020-4

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