A coherent study of ${\chi }_{c0,2}\to VV$, $PP$ and $SS$

Abstract

We investigate the decays of ${\chi }_{c0,2}$ into vector meson pairs ($VV$), pseudoscalar pairs ($PP$), and scalar pairs ($SS$) in a general factorization scheme. The purpose is to clarify the role played by the OZI-rule violations and SU(3) flavour breakings in the decay transitions, and their correlations with the final state meson wavefunctions. For ${\chi }_{c0,2}\to VV$ and $PP$, we obtain an overall self-contained description of the experimental data. Applying this factorization to ${\chi }_{c0}\to f_0^i{f}_0^j$, where $i,j=1,2,3$ denotes $f_0(1710)$, $f_0(1500)$ and $f_0(1370)$, respectively, we find that specific patterns will arise from the model predictions for the decay branching ratio magnitudes, and useful information about the structure of those three scalars can be abstracted.

Revtex, 8 pages, 3 figures; Typos corrected, version accepted by Phys. Rev. D

References in corpus (7)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Resonances in $J/\psi \to \varphi {\pi }^{+}{\pi }^{-}$ and $\varphi K^{+}{K}^{-}$
• Production of $f_0(1710)$, $f_0(1500)$, and $f_0(1370)$ in $J/\psi$ hadronic decays
• The $\sigma$ pole in $J/\psi \to \omega {\pi }^{+}{\pi }^{-}$
• Mechanisms for ${\chi }_{cJ}\to \varphi \varphi$ Decays
• Study of $J/\psi \to \omega K^{+}{K}^{-}$
• Observation of $K^{\ast }(892{)}^0{\bar{K}}^{\ast }(892{)}^0$ in ${\chi }_{cJ}$ Decays

Cited by in corpus (21)

• The Status of Glueballs
• Branching fraction measurements of χ_{c0} and χ_{c2} to π^0π^0 and ηη
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Decays of $J/\psi$ and ${\psi }^{\prime }$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing
• The evasion of helicity selection rule in ${\chi }_{c1}\to VV$ and ${\chi }_{c2}\to VP$ via intermediate charmed meson loops
• χ_{c0,2} decay into light meson pairs and its implication of the scalar meson structures
• A study of the Okubo-Zweig-Iizuka rule violations in ${\eta }_c\to VV$
• Updated study of the ${\eta }_c$ and ${\eta }_c^{\prime }$ decays into light vector mesons
• chi_cJ Decays to h^+h^-h^0
• chi_{cJ} Decays to h^+h^-h^0
• Measurement of χ_cJ--> K+K-K+K-
• chi_c0 and chi_c2 Decays into eta eta, eta eta', and eta' eta' Final States
• Observation of OZI suppressed decays ${\chi }_{cJ}\to \omega \varphi$
• On the momentum-dependence of $K^{-}$-nuclear potentials
• Probing scalar meson structures in ${\chi }_{c1}$ decays into pseudoscalar and scalar
• $\rho -\omega$ Mixing in $J/\psi \to VP$ Decays
• Study of Scalar Mesons at BES-II
• Observation of ${\chi }_{c2}\to {\eta }^{\prime }{\eta }^{\prime }$ and ${\chi }_{c0,2}\to \eta {\eta }^{\prime }$
• Low-lying exotic mesons in the coupled-channel formalism
• Study the decays of ${\chi }_{cJ}(J=0,1,2)$ to light meson pairs with SU(3) flavor symmetry/breaking analysis
• Resonance contributions from ${\chi }_{c0}$ in the charmless three-body hadronic $B$ meson decays