Non-ordinary nature of the f_0(500) resonance from its Regge trajectory

Abstract

We report our results on how to obtain the Regge trajectory of a resonance from its pole in a scattering process by imposing analytic constraints in the complex angular momentum plane. The method, suited for resonances that dominate an elastic scattering amplitude, has been applied to the ρ(770) and the f_0(500) resonances. Whereas for the former we obtain a linear Regge trajectory, characteristic of ordinary quark-antiquark states, for the latter we find a non-linear trajectory with a much smaller slope at the resonance mass. Moreover, we show that if a linear trajectory with a slope of typical size is imposed for the f_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.

5 pages, 2 figures, to appear in the proceedings of the "XV International Conference on Hadron Spectroscopy-Hadron 2013". arXiv admin note: substantial text overlap with arXiv:1403.2790