arXiv · 1403.2790
Regge trajectory of the f_0(500) resonance from a dispersive connection to its pole
Abstract
We report here 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 {\rho}(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. This provides a strong indication of the non-ordinary nature of the sigma meson.
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J. Nebreda, J. T. Londergan, J. R. Pelaez, A. P. Szczepaniak. 2014-03-12. Regge trajectory of the f_0(500) resonance from a dispersive connection to its pole. https://doi.org/10.1142/9789814618229_0026
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