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f_{0}(1370) Controversy from Dispersive Meson-Meson Scattering Data Analyses.

J R Peláez1, A Rodas2,3, J Ruiz de Elvira1,4

  • 1Departamento de Física Teórica and IPARCOS, Universidad Complutense de Madrid, E-28040 Madrid, Spain.

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This study confirms the existence of the f0(1370) resonance using advanced dispersion relation analyses of meson-meson scattering data. Findings provide crucial insights into particle physics and resonance properties.

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Area of Science:

  • Particle Physics
  • Hadron Spectroscopy

Background:

  • The f0(1370) resonance has been a subject of debate in particle physics.
  • Understanding meson-meson scattering is crucial for hadron spectroscopy.

Purpose of the Study:

  • To establish the existence of the f0(1370) resonance.
  • To determine its pole parameters and couplings using dispersive analyses.

Main Methods:

  • Novel approach using forward dispersion relations for inelastic resonances.
  • Analysis of meson-meson scattering data (ππ and ππ→KK̄).
  • Extrapolation with partial-wave dispersion relations and other continuation methods.

Main Results:

  • Established the existence of the f0(1370) resonance.
  • Determined pole parameters in ππ scattering: (1245±40)-i(300_{-70}^{+30}) MeV.
  • Identified a pole in ππ→KK̄ data analysis: (1380_{-60}^{+70})-i(220_{-70}^{+80}) MeV.

Conclusions:

  • The existence of the f0(1370) resonance is confirmed through model-independent dispersive and analytic methods.
  • Lingering tension in pole parameters between ππ and KK̄ channels suggests data limitations.
  • Provides crucial data for understanding hadron spectroscopy and resonance phenomena.