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

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.

8 pages, 4 figures

References in corpus (9)

• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• A low-lying scalar meson nonet in a unitarized meson model
• A Theory of Scalar Mesons
• Precise determination of the f0(600) and f0(980) pole parameters from a dispersive data analysis
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Systematics of radial and angular-momentum Regge trajectories of light non-strange q\bar{q}-states
• Strong and electromagnetic decays of the light scalar mesons interpreted as tetraquark states
• Nature of the sigma meson as revealed by its softening process
• Structure of Light Scalar Mesons from D_s and D^0 Non-Leptonic Decays

Cited by in corpus (27)

• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• 50 Years of Quantum Chromodynamics
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• Gauge/gravity dual dynamics for the strongly coupled sector of composite Higgs models
• A chiral covariant approach to $\rho \rho$ scattering
• Novel approaches in Hadron Spectroscopy
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• Four-quark states from functional methods
• Determination of the lightest strange resonance $K_0^{\ast }(700)$ or $\kappa$, from a dispersive data analysis
• The $\sigma$-meson: four-quark vs. two-quark components and decay width in a Bethe-Salpeter approach
• Understanding the Nature of $\Lambda (1405)$ through Regge Physics
• Meson spectra of asymptotically free gauge theories from holography
• Structure of the meson Regge trajectories
• The non-ordinary Regge behavior of the K*0(800) or Kappa-meson versus the ordinary K*0(1430)
• New analysis of $\eta \pi$ tensor resonances measured at the COMPASS experiment
• The radial Regge trajectories and leptonic widths of the isovector mesons
• Dispersive calculation of complex Regge trajectories for the lightest $f_2$ resonances
• 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
• A Holographic Study of the Gauged NJL Model
• The sigma meson from QCD sum rules for large-$N_c$ Regge spectra
• Regge phenomenology of the $N^{\ast }$ and ${\Delta }^{\ast }$ poles
• Test of semi-local duality in a large $N_C$ framework
• Abelian Decomposition and Glueball-Quarkonium Mixing in QCD
• Calculation of Regge trajectories of strange resonances and identification of the K0*(800) as a non-ordinary meson
• The Joint Physics Analysis Center: Recent results