Abstract

We consider the relation between energy level patterns of rigid structures and those of systems in which the particle motions are uncorrelated. Defining an ideal model system of the non-rigid limit for N identical particles, we exhibit the correlation diagram connecting this limit to an ideal rigid system for N = 3. States of the two limits are related in a simple manner. Vibration-rotation levels for three identical spin-0 and spin-1/2 particles are classified explicitly, according to their quantum numbers in both limits.

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