Complex Angular Momenta and the Problem of Exotic States

Details Complex Angular Momenta and the Problem of Exotic States Complex Angular Momenta and the Problem of Exotic States

2005-12-22

arxiv.org/abs/hep-ph/0512298v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

To appear in the Gribov Memorial Volume (Proceedings of the Gribov-75 Memorial Workshop on Quarks, Hadrons, and Strong Interac

Scientific paper

After some brief personal recollections about V.N.Gribov, I demonstrate that his results and ideas on complex angular momenta may be applied in unfamiliar directions. As an example, it is shown, that any strong interaction amplitude, satisfying dispersion relation (in momentum transfer), has infinite number of energy-plane poles, both for exotic and non-exotic quantum numbers. This result ensures the necessary condition for existence of exotic hadrons. However, without more detailed knowledge of dynamics one cannot secure sufficient conditions for the exotics existence.

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