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High Energy Physics - Phenomenology

arXiv:1311.7552 (hep-ph)
[Submitted on 29 Nov 2013]

Title:Identification of non-ordinary mesons from the dispersive connection between their poles and their Regge trajectories: the f0(500) resonance

Authors:J.T. Londergan, J. Nebreda, J.R. Pelaez, A. Szczepaniak
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Abstract:We show how the Regge trajectory of a resonance can be obtained from its pole in a scattering process and analytic constraints in the complex angular momentum plane. The method is suited for resonances that dominate an elastic scattering amplitude. In particular, from the rho(770) resonance pole in pion-pion scattering, we obtain its linear Regge trajectory, characteristic of ordinary quark-antiquark states. In contrast, the f0(500) pole -the sigma meson- which dominates scalar isoscalar pion-pion scattering, yields a non-linear trajectory with a much smaller slope at the f0(500) mass. Conversely, imposing a linear Regge trajectory for the f0(500), with a slope of typical size, yields an elastic amplitude at odds with the data. This provides strong support for the non-ordinary nature of the sigma meson.
Comments: 8 pages, 4 figures
Subjects: High Energy Physics - Phenomenology (hep-ph); Nuclear Theory (nucl-th)
Cite as: arXiv:1311.7552 [hep-ph]
  (or arXiv:1311.7552v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1311.7552
Related DOI: https://doi.org/10.1016/j.physletb.2013.12.061

Submission history

From: Jenifer Nebreda [view email]
[v1] Fri, 29 Nov 2013 13:05:58 UTC (251 KB)
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