Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars

Abstract

Recently, the BES collaboration has published an extensive partial wave analysis of experimental data on J/psi -> phi pi+pi-, J/psi -> omega pi+pi-, J/psi -> phi K+K- and J/psi -> omega K+K-. These new results are analyzed here, with full account of detection efficiencies, in the framework of a chiral unitary description with coupled-channel final state interactions between pi-pi and K-bar K pairs. The emission of a dimeson pair is described in terms of the strange and nonstrange scalar form factors of the pion and the kaon, which include the final state interaction and are constrained by unitarity and by matching to the next-to-leading-order chiral expressions. This procedure allows for a calculation of the S-wave component of the dimeson spectrum including the f_0(980) resonance, and for an estimation of the low-energy constants of Chiral Perturbation Theory, in particular the large N_c suppressed constants L_4^r and L_6^r. The decays in question are also sensitive to physics associated with OZI violation in the 0++ channel. It is found that the S-wave contributions to phi pi+pi-, phi K+K- and omega pi+pi- given by the BES partial-wave analysis may be very well fitted up to a dimeson center-of-mass energy of ~1.2 GeV, for a large and positive value of L_4^r and a value of L_6^r compatible with zero. An accurate determination of the amount of OZI violation in the J/psi -> phi pi+pi- decay is achieved, and the S-wave contribution to omega K+K- near threshold is predicted.

arXiv comment18 pages, 6 figures, title changed, accepted version for PRD

References in corpus (53)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• ππscattering
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Meson-Meson interaction in a non-perturbative chiral approach
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
• Resurrection of the Sigma Meson
• Chiral Perturbation Theory for the Quenched Approximation of QCD
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• A low-lying scalar meson nonet in a unitarized meson model
• Quenched Chiral Logarithms
• Resonances in $J/\psi \to \varphi {\pi }^{+}{\pi }^{-}$ and $\varphi K^{+}{K}^{-}$
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• Partially Quenched Gauge Theories and a Application to Staggered Fermions
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• $\pi \pi$ Scattering in Three Flavour ChPT
• Physical Results from Unphysical Simulations
• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• Partially quenched chiral perturbation theory without ${\Phi }_0$
• J/Ψ\to ϕππ(K \bar{K}) decays, chiral dynamcis and OZI violation
• Light scalars as tetraquarks or two-meson states from large Nc and unitarized Chiral Perturbation Theory
• KK bar scattering amplitude to one loop in chiral perturbation theory, its unitarization and pion form factors
• Radiative decay of rho^0 and phi mesons in a chiral unitary approach
• The $\sigma$ pole in $J/\psi \to \omega {\pi }^{+}{\pi }^{-}$
• $K_{\ell 4}$ Form-Factors and $\pi$-$\pi$ Scattering
• Theoretical Study of the γγ-->meson-meson Reaction
• Final State Interactions in Hadronic D decays
• Rescattering and chiral dynamics in B\to ρπdecay
• $\pi K$ Scattering in Three Flavour ChPT
• Scalar form factors of light mesons
• Effective Chiral Lagrangians and Lattice QCD
• Long-distance effects and final state interactions in B to pion pion K and B to K anti-K K decays
• Unitary chiral dynamics in J/Psi to VPP decays and the role of scalar mesons
• The phi --> gamma K0 bar(K0) Decay
• The Vector and Scalar Form Factors of the Pion to Two Loops
• On The Origin of the OZI Rule in QCD
• Scalar Form Factors in SU(3) Chiral Perturbation Theory
• Low Energy Constants from Kl4 Form-Factors
• Study of $J/\psi \to \omega K^{+}{K}^{-}$
• Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants
• VMD, the WZW Lagrangian and ChPT: The Third Mixing Angle
• Flavour Stability of the Chiral Vacuum and Scalar Meson Dynamics
• The quadratic scalar radius of the pion and the mixed $\pi -K$ radius
• The scalar radius of the pion
• Decay Constants of Pseudoscalar Mesons to Two Loops in Three-Flavor Partially Quenched $\chi$PT
• Is strong CP invariance due to a massless up quark?
• The Pseudoscalar Meson Mass to Two Loops in Three-Flavor Partially Quenched $\chi$PT
• Masses and Decay Constants of Pseudoscalar Mesons to Two Loops in Two-Flavor Partially Quenched Chiral Perturbation Theory
• N_f Dependence of the Quark Condensate from a Chiral Sum Rule
• Quark mass dependence of pseudoscalar masses and decay constants on a lattice
• M_pi^2 versus m_q: comparing CP-PACS and UKQCD data to Chiral Perturbation Theory
• Unitary chiral dynamics in $J/\Psi$ decays into $VPP$ and the role of the scalar mesons

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