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oai:docta.ucm.es:20.500.14352/349302023-08-28T10:04:19Zcom_20.500.14352_14col_20.500.14352_15

Identification of non-ordinary mesons from the dispersive connection between their poles and their Regge trajectories: The f_0(500) resonance Londergan, J. T. Nebreda Manjón, Jenifer Peláez Sagredo, José Ramón Szczepaniak, A. P. 51-73 Light scalar mesons Multiquark hadrons Decays Física-Modelos matemáticos Física matemática © 2013 The Authors. J.R.P. and J.N. are supported by the Spanish project FPA2011-27853-C02-02 and the EU FP7 HadronPhysics3 project. J.N. acknowledges funding by the Deutscher Akademischer Austauschdienst (DAAD), the Fundación Ramón Areces and the hospitality of Bonn and Indiana Universities. A.P.S. is supported in part by the U.S. Department of Energy under Grant DE-FG0287ER40365. J.T.L. is supported by the U.S. National Science Foundation under grant PHY-1205019. 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 ρ(770) resonance pole in ππ scattering, we obtain its linear Regge trajectory, characteristic of ordinary quark–antiquark states. In contrast, the f_0(500) pole—the sigma meson—which dominates scalar isoscalar ππ scattering, yields a nonlinear trajectory with a much smaller slope at the f0(500) mass. Conversely, imposing a linear Regge trajectory for the f0(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. Unión Europea. FP7 Ministerio de Economía y Competitividad (MINECO) Deutscher Akademischer Austauschdienst (DAAD) Fundación Ramón Areces U.S. National Science Foundation U.S. Department of Energy Depto. de Física Teórica Fac. de Ciencias Físicas TRUE pub 2023-06-19T14:57:10Z 2023-06-19T14:57:10Z 2014-02-05 journal article https://hdl.handle.net/20.500.14352/34930 0370-2693 10.1016/j.physletb.2013.12.061 eng HadronPhysics3 (283286) FPA2011-27853-C02-02 DE-FG0287ER40365 PHY-1205019 Atribución 3.0 España https://creativecommons.org/licenses/by/3.0/es/ open access application/pdf Elsevier Science BV