The non-ordinary Regge behavior of the K*0(800) or Kappa-meson versus the ordinary K*0(1430)

Abstract

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 K*0(1430) Regge trajectory, finding the ordinary almost real and linear behavior, typical of quark-antiquark resonances. In contrast, for the K*0(800) meson, the resulting Regge trajectory is non-linear and has a much smaller slope than ordinary resonances, being remarkably similar to that of the f0(500) or sigma 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.

11 pages, 5 Figures. Extended discussion on applicability regime and minor typos corrected. Version to appear in EPJC

References in corpus (10)

• A low-lying scalar meson nonet in a unitarized meson model
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• The pion-kaon scattering amplitude constrained with forward dispersion relations up to 1.6 GeV
• Two chiral nonet model with massless quarks
• $K_0^{\ast }(800)$ as a companion pole of $K_0^{\ast }(1430)$
• Strange resonance poles from $K\pi$ scattering below 1.8 GeV
• Model for light scalars in QCD

Cited by in corpus (11)

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• Determination of the lightest strange resonance $K_0^{\ast }(700)$ or $\kappa$, from a dispersive data analysis
• $S$-wave $K\pi$ contributions to the hadronic charmonium $B$ decays in the perturbative QCD approach
• Structure of the meson Regge trajectories
• Line-shape and poles of the $\psi (3770)$
• The light scalars: four- vs. two-quark states in the complex energy plane from Bethe-Salpeter equations
• Global analysis of charge exchange meson production at high energies
• Inverse Mass Hierarchy of Light Scalar Mesons Driven by Anomaly-Induced Flavor Breaking
• Regge phenomenology of the $N^{\ast }$ and ${\Delta }^{\ast }$ poles