https://doi.org/10.1140/epjc/s10052-017-4994-3
Regular Article - Theoretical Physics
The non-ordinary Regge behavior of the
or
-meson versus the ordinary
Departamento de Física Teórica II and UPARCOS, Universidad Complutense de Madrid, Madrid, 28040, Spain
* e-mail: jrpelaez@fis.ucm.es
Received:
24
March
2017
Accepted:
15
June
2017
Published online:
28
June
2017
The Regge trajectory of an elastic resonance can be calculated from dispersion theory, instead of fitted phenomenologically, using only its pole parameters as input. This also provides a correct treatment of resonance widths in Regge trajectories, essential for very wide resonances. In this work we first calculate the Regge trajectory, finding the ordinary almost real and linear behavior, typical of
resonances. In contrast, for the
meson, the resulting Regge trajectory is non-linear and has a much smaller slope than ordinary resonances, being remarkably similar to that of the
or
meson. The slope of these unusual Regge trajectories seems to scale with the meson masses rather than with scales typical of quark degrees of freedom. We also calculate the range of the interaction responsible for the formation of these resonances. Our results strongly support a non-ordinary, predominantly meson–meson-like, interpretation for the lightest strange and non-strange resonances.
© The Author(s), 2017