The Modified J-Matrix Approach Applied to Three-Cluster Systems

We introduce a fully microscopic three-cluster model for light nuclei and discuss the dynamical equations for scattering. The three-cluster continuum is described by Hyperspherical Harmonics. The dynamical equations are solved by the Modified J-Matrix Method, which includes potential asymptotic information for fast convergence. We apply the methodology to the resonances of ⁶He and ⁶Be as well as to the S-factor of the reactions ³H(³H, 2n)⁴He and ³He(³He, 2p)⁴He in which the three-cluster description is used for the exit channel. The results are in good agreement with the experimental data.