Microscopic Three-Cluster Theory with Applications to 6HE and 6BE

We introduce a fully microscopic three-cluster model for light nuclei. The three-cluster continuum is described by Hyperspherical Harmonics. The dynamical equations are solved by the Modified J-Matrix Method. We apply the methodology to the resonances of ⁶He and ⁶Be as well as to the S-factor of the reaction 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.