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The norm kernel of the A = 12 system composed of two 6 He 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 12 Be obtained in the approximation of zero-range nuclear force is compared with the shellmodel 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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We describe an 2 ' formalism for the continuum spectrum of coupled collective states in light nuclei. In particular, we consider the application to the monopole and quadrupole modes in 'He. We compute the phaseshifts and perform an extensive analysis of the resonance wavefunctions.