6He+6He clustering of 12Be in a microscopic algebraic approach
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.
Keywords
Cite
@article{arxiv.nucl-th/0311063,
title = {6He+6He clustering of 12Be in a microscopic algebraic approach},
author = {G. F. Filippov and Yu. A. Lashko and S. V. Korennov and K. Kato},
journal= {arXiv preprint arXiv:nucl-th/0311063},
year = {2009}
}
Comments
24 pages, 11 figures, to be published in Few-Body Systems