LORENTZ MULTIPLET STRUCTURE OF BARYON SPECTRA AND RELATIVISTIC DESCRIPTION

The pole positions of the various baryon resonances are known to revea l well-pronounced clustering, so-called Hohler clusters. For nonstrang e baryons, the Hohler clusters are shown to be identical to Lorentz mu ltiplets of the type {j, j} x [{1/2, 0} + {0, 1/2}] with j being a hal f-integer. For the Lambda hyperons below 1,800 MeV, these clusters are shown to be of the type {1, 0} + {0, 1} x [{1/2, 0} + {0, 1/2}] while above 1,800 MeV they are parity duplicated {J, O} + {O, J} higher-spi n (Weinberg-Ahluwalia) states. Therefore, for Lambda hyperons the rest oration of chiral symmetry takes place above 1,800 MeV. Finally, it is demonstrated that the description of spin-3/2 particles in terms of a second rank antisymmetric Lorentz tensor with Dirac spinor components does not contain any off-shell parameters and avoids the main difficu lties of the Rarita-Schwinger description based on a four-vector with Dirac spinor components.