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Title: Regge trajectories of ordinary and non-ordinary mesons from their scattering poles

Our results on obtaining the Regge trajectory of a resonance from its pole in a scattering process and from analytic constraints in the complex angular momentum plane are presented. The method, suited for resonances that dominate an elastic scattering amplitude, has been applied to the ρ(770), f{sub 2}(1270), f{sub 2}(1525) and f{sub 0}(500) resonances. Whereas for the first three we obtain linear Regge trajectories, characteristic of ordinary quark-antiquark states, for the latter we find a non-linear trajectory with a much smaller slope at the resonance mass. We also show that if a linear trajectory with a slope of typical size is imposed for the f{sub 0}(500), the corresponding amplitude is at odds with the data. This provides a strong indication of the non-ordinary nature of the sigma meson.
Authors:
 [1] ;  [2] ;  [2] ;  [3] ; ;  [4] ;  [5] ;  [2] ;  [5] ;  [2] ;  [2]
  1. Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502 Kyoto (Japan)
  2. (United States)
  3. (Spain)
  4. Departamento de Física Teórica II, Universidad Complutense de Madrid, 28040 Madrid (Spain)
  5. Center for Exploration of Energy and Matter, Indiana University, Bloomington, IN 47403 (United States)
Publication Date:
OSTI Identifier:
22499039
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1701; Journal Issue: 1; Conference: 11. conference on quark confinement and hadron spectrum, Saint Petersburg (Russian Federation), 8-12 Sep 2014; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; ANGULAR MOMENTUM; ELASTIC SCATTERING; F2-1270 MESONS; LIMITING VALUES; MASS; NONLINEAR PROBLEMS; QUARK-ANTIQUARK INTERACTIONS; REGGE TRAJECTORIES; RESONANCE