Classification of Three-Particle States According to SU3

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Abstract
It is shown that the set of states for three noninteracting particles can be put into a one‐to‐one correspondence with the set of irreducible representations of SU3. This classification leads to three‐particle angular momentum states which treat all particles on an equal footing. The states exhibit the maximum localization compatible with a given total energy, momentum, and angular momentum. Only nonrelativistic particles are treated.