RT Journal Article
T1 Identification of non-ordinary mesons from the dispersive connection between their poles and their Regge trajectories: The f_0(500) resonance
A1 Londergan, J. T.
A1 Nebreda Manjón, Jenifer
A1 Peláez Sagredo, José Ramón
A1 Szczepaniak, A. P.
AB 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.
PB Elsevier Science BV
SN 0370-2693
YR 2014
FD 2014-02-05
LK https://hdl.handle.net/20.500.14352/34930
UL https://hdl.handle.net/20.500.14352/34930
LA eng
NO © 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.
NO Unión Europea. FP7
NO Ministerio de Economía y Competitividad (MINECO)
NO Deutscher Akademischer Austauschdienst (DAAD)
NO Fundación Ramón Areces
NO U.S. National Science Foundation
NO U.S. Department of Energy
DS Docta Complutense
RD 6 abr 2025