APPLICATION OF THE ALT-GRASSBERGER-SANDHAS EQUATIONS TO THE 3-ALPHA MODEL

The three-alpha model of the C-12 nucleus is calculated by solving the Alt-Grassberger-Sandhas (AGS) equations with effective cluster-cluste r potentials directly derived from the resonating-group method and mod ified by the orthogonality-condition model or the fish-bone optical mo del techniques. Instead of using Kukulin's pseudo-potential projection method for the Pauli-forbidden state, which is approximative but the only method used up to now, we introduce a new exact method to give th e transition matrices. The dependence of the C-12 binding energy on th e strength of Serber force is shown.