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Published on: November 15, 2013
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.
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.
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.
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