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

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

2003-11-19

arxiv.org/abs/nucl-th/0311063v1

Few Body Syst. 34 (2004) 209-235

Physics

Nuclear Physics

Nuclear Theory

24 pages, 11 figures, to be published in Few-Body Systems

Scientific paper

10.1007/s00601-003-0020-4

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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