Amplitudes for the analysis of the decay $J/\psi \to K^{+}{K}^{-}{\pi }^0$

Abstract

We construct an analytical model for two channel, two-body scattering amplitudes, and then apply it in the description of the three-body $J/\psi \to K^{+}{K}^{-}{\pi }^0$ decay. In the construction of the partial wave amplitudes, we combine the low energy resonance region with the Regge asymptotic behavior determined from direct two-body production. We find that resonance production in the $K\pi$ channel in $J/\psi$ decays seems to differ from that observed in direct $K\pi$ production, while the mass distribution in the $K\bar{K}$ channel may be compatible.

References in corpus (8)

• Toward the excited meson spectrum of dynamical QCD
• The pion-pion scattering amplitude
• Regge analysis of pion-pion (and pion-kaon) scattering for energy s^{1/2}>1.4 GeV
• Observation of a broad 1^-- resonant structure around 1.5 GeV/$c^2$ in the K^+K^- mass spectrum in J/psi --> K^+K^-pi^0
• The role of P-wave inelasticity in J/psi to pi+pi-pi0
• X(1576) and the Final State Interaction Effect
• P-wave pi pi amplitude from dispersion relations
• A possible explanation of a broad $1^{--}$ resonant structure around 1.5GeV

Cited by in corpus (9)

• The pion-kaon scattering amplitude constrained with forward dispersion relations up to 1.6 GeV
• 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 $K_0^{\ast }(700)$
• Pole position of the $a_1(1260)$ resonance in a three-body unitary framework
• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Visualizing resonances in finite volume
• A coupled-channel formalism for three-body final state interaction
• Analytic continuation of Pasquier inversion representation of Khuri-Treiman equation
• Tunneling time in coupled-channel systems
• Khuri-Treiman analysis of $J/\psi \to {\pi }^{+}{\pi }^{-}{\pi }^0$