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arxiv: 1404.6058 · v1 · pith:5HJV2EALnew · submitted 2014-04-24 · ✦ hep-ph · nucl-th

The non-ordinary Regge behavior of the f₀(500) meson

classification ✦ hep-ph nucl-th
keywords reggemesontrajectorynon-ordinaryslopeallowsanotherbehavior
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We review how the Regge trajectory of an elastic resonance can be obtained just from its pole position and coupling, by means of a dispersive formalism. This allows to deal correctly with the finite widths of resonances in Regge trajectories. For the $\rho(770)$ meson this method leads to the ordinary linear Regge trajectory with a universal slope. In contrast, for the $f_0(500)$ meson, the resulting Regge trajectory is non-linear and with much smaller slope. This is another strong indication of the non-ordinary nature of the lightest scalar meson.

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