Preferred shapes and modes of internal motion in a system of three identical fermions

Abstract

The states havingL=0, even parity,S=1/2 or 3/2 of a model system of three identical fermions have beeninvestigated. The pairwise interaction adopted has a repulsive core and an attractive tail. Information on the preferred shapes and on internal motions have been extracted from the wave functions. A comparison is made among the states having symmetric, mixed-symmetric and antisymmetric spatial permutation symmetry. It is found that the symmetry plays an essential role in determining the microscopic structures.