Unified Analysis of the Structures of Three-Boson and Three-Fermion Systems

A model system of three identical particles was examined to understand the features of its structure. The low-lying states having different sets of quantum numbers and obeying different permutation symmetries were studied in a unified way, though only qualitatively. It was found that the constraints imposed by quantum-mechanical symmetry on the wave functions are embodied in inherent nodal surfaces, which affect the structures and the ways of excitation decisively. The origin of a number of rotational bands has been clarified. Features in the low-lying spectrum have been revealed.