6He + 6He Clustering of 12Be in a Microscopic Algebraic Approach |
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Authors: | G. F. Filippov Yu. A. Lashko S. V. Korennov K. Katō |
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Affiliation: | (1) Bogolyubov Institute for Theoretical Physics, 14-b Metrolohichna Street, Kiev-143, Ukraine;(2) Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles, B-1050 Brussels, Belgium;(3) Graduate School of Science, Hokkaido University, 060-0810 Sapporo, Japan |
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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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