Nebreda Manjón, JeniferCarrasco, J. A.Londergan, J. T.Peláez Sagredo, José RamónSzczepaniak, Adam P.2023-06-182023-06-182016978-0-7354-1348-110.1063/1.4938632https://hdl.handle.net/20.500.14352/24870© 2016 AIP Publishing LLC. Conference on Quark Confinement and Hadron Spectrum (11ª. 2014. San Petersburgo, Rusia). J.N. wants to thank the organizers of the conference for giving her the opportunity to present this work. J.R.P. and J.N. are supported by the Spanish project FPA2011-27853-C02-02. JN 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.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), ƒ_2(1270), ƒ_2(1525) and ƒ_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 ƒ_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.engbook parthttp://dx.doi.org/10.1063/1.4938632http://scitation.aip.org/http://arxiv.org/abs/1412.5894#open access51-73Regge TheoryLight scalar mesons.Física-Modelos matemáticosFísica matemática