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Relativistic rotator. II. The simplest representation spaces

Arno BöhmCenter for Particle Theory, The University of Texas at Austin, Austin, Texas 78712Mark LoeweCenter for Particle Theory, The University of Texas at Austin, Austin, Texas 78712L. C. BiedenharnCenter for Particle Theory, The University of Texas at Austin, Austin, Texas 78712H. van DamCenter for Particle Theory, The University of Texas at Austin, Austin, Texas 78712
1983en
ABI

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As a continuation of the preceding paper in which the quantum relativistic rotator was described within the framework of quantum constrained Hamiltonian mechanics, here its simplest representation spaces are derived. They are shown to be discrete direct sums of irreducible representations of the Poincar\'e group, which shows that hadrons can be interpreted as different mass-spin levels of a quantum relativistic rotator.

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