COMPARISON OF THE STRUCTURES OF AN ATOMIC 3-VALENCE-ELECTRON SYSTEM WITH A NUCLEAR 3-VALENCE-NEUTRON SYSTEM

A comparison has been made between the states of a 3-valence-electron system and a 3-valence-neutron system. The fermions are supposed to move in a sphere. The structures and internal motions of the head-states (the lowest of a given 2S+1L(pi)) of these systems having L = 0, S = 1/2 and 3/2, and even and odd parity have been investigated. We have found that the symmetry governing the particular quantum system plays an essential role. In particular, all the nodal surfaces in the head-states originate from symmetry but not from dynamics. Consequently, the head-states of different dynamic systems have similar structures and similar internal motions.