The non-ordinary Regge behavior of the f₀(500) meson
classification
✦ hep-ph
nucl-th
keywords
reggemesontrajectorynon-ordinaryslopeallowsanotherbehavior
read the original abstract
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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