The algebraic model for scattering in three-s-cluster systems: resonances in the three-cluster continuum of 6He and 6Be

摘要

Abstract: The resonance states embedded in the three-cluster continuum of He-6 and Be-6 are obtained in the algebraic version of the resonating group method. The model accounts for a correct treatment of the Pauli principle. It also provides the correct three-cluster continuum boundary conditions by using a hyperspherical harmonics basis. The model reproduces the observed resonances well and achieves good agreement with other models. A better understanding for the process of formation and decay of the resonance states in six-nucleon systems is obtained.