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Abstract: A large symmetry group is perhaps experimentally observed in excited hadronswhich includes the chiral group U2 L x U2 R as a subgroup. To possess thislarge symmetry a dynamical model for excited hadrons, presumably a stringmodel, should explain formation of chiral multiplets and, at the same time,predict coinciding slopes of the angular and radial Regge trajectories. This ispossible only if both the dynamics of the string and the chirality of thequarks at the ends of the string are considered together. We construct amodel-independent unitary transformation from the relativistic chiral basis tothe ^{2S+1}L J basis, commonly used in hadronic phenomenology as well as in thestring models, and demonstrate that a hadron belonging to the given chiralrepresentation is a fixed superposition of the basis vectors with different Lsand Ss. Thus the description of highly excited hadron in terms of a fixed L isnot compatible with chiral symmetry and has to be disregarded in favour of thedescription in terms of the total hadron spin J. Therefore, dynamics of thestring must deliver the principal quantum number ~n+J, in order chiralmultiplets with different spins to become degenerate, as required by the largesymmetry group.



Autor: L. Ya. Glozman Univ. Graz, A. V. Nefediev ITEP, Moscow

Fuente: https://arxiv.org/







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