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Title: Identification of non-ordinary mesons from the dispersive connection between their poles and their Regge trajectories: The f{sub 0}(500) resonance

We show how the Regge trajectory of a resonance can be obtained from its pole in a scattering process and analytic constraints in the complex angular momentum plane. The method is suited for resonances that dominate an elastic scattering amplitude. In particular, from the {rho}(770) resonance pole in {pi}{pi} scattering, we obtain its linear Regge trajectory, characteristic of ordinary quark–antiquark states. In contrast, the f{sub 0}(500) pole—the sigma meson—which dominates scalar isoscalar {pi}{pi} scattering, yields a nonlinear trajectory with a much smaller slope at the f{sub 0}(500) mass. Conversely, imposing a linear Regge trajectory for the f{sub 0}(500), with a slope of typical size, yields an elastic amplitude at odds with the data. This provides strong support for the non-ordinary nature of the sigma meson.
 [1] ;  [2] ;  [2] ;  [3]
  1. Universidad Complutense de Madrid (Spain)
  2. Indiana Univ. (United States)
  3. JLAB, Indiana Univ. (United States)
Publication Date:
OSTI Identifier:
Report Number(s):
JLAB-THY-14-1837; DOE/OR-23177-2999
Journal ID: ISSN 0370-2693; TRN: US1400171
DOE Contract Number:
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics Letters. Section B; Journal Volume: 729
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Regge theory; Light scalar mesons