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Identification of non-ordinary mesons from the dispersive connection between their poles and their Regge trajectories: The f_0(500) resonance

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Londergan, J. T. and Nebreda Manjón, Jenifer and Peláez Sagredo, José Ramón and Szczepaniak, A. P. (2014) Identification of non-ordinary mesons from the dispersive connection between their poles and their Regge trajectories: The f_0(500) resonance. Physics letters B, 729 . pp. 9-14. ISSN 0370-2693

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Official URL: http://dx.doi.org/10.1016/j.physletb.2013.12.061


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Abstract

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.


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© 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.

Uncontrolled Keywords:Light scalar mesons; Multiquark hadrons; Decays
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:33833
Deposited On:04 Nov 2015 14:56
Last Modified:10 Dec 2018 15:09

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