UNIFIED ANALYSIS OF THE STRUCTURES OF 3-BOSON AND 3-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 w ere studied in a unified way, though only qualitatively. It was found that the constraints imposed by quantum-mechanical symmetry on the wav e functions are embodied in inherent nodal surfaces, which affect the structures and the ways of excitation decisively. The origin of a numb er of rotational bands has been clarified. Features in the low-lying s pectrum have been revealed.