Production of $f_0(1710)$, $f_0(1500)$, and $f_0(1370)$ in $J/ψ$ hadronic decays

Frank E. Close; Qiang Zhao

doi:10.1103/PhysRevD.71.094022

paper

Production of $f_{0} (1710)$ , $f_{0} (1500)$ , and $f_{0} (1370)$ in $J / ψ$ hadronic decays

arXiv:hep-ph/0504043 · doi:10.1103/PhysRevD.71.094022

Abstract

A coherent study of the production of $f_{0}^{i}$ ( $i = 1$ , 2, 3 corresponding to $f_{0} (1710)$ , $f_{0} (1500)$ , and $f_{0} (1370)$ ) in $J / ψ \to V f_{0} \to V P P$ is reported based on a previously proposed glueball and $Q Q ˉ$ nonet mixing scheme, and a factorization for the decay of $J / ψ \to V f_{0}^{i}$ , where $V$ denotes the isoscalar vector mesons $ϕ$ and $ω$ , and $P$ denotes pseudoscalar mesons. The results show that the $J / ψ$ decays are very sensitive to the structure of those scalar mesons, and suggest a glueball in the $1.5 - 1.7$ GeV region, in line with Lattice QCD. The presence of significant glueball mixings in the scalar wavefunctions produces peculiar patterns in the branching ratios for $J / ψ \to V f_{0}^{i} \to V P P$ , which are in good agreement with the recently published experimental data from the BES collaboration.

arXiv commentVersion accepted by PRD; Numerical results in Tab IV and VI changed due to correction of an error in quoting an experimental datum; Conclusion is not changed

Production of $f_{0} (1710)$ , $f_{0} (1500)$ , and $f_{0} (1370)$ in $J / ψ$ hadronic decays

Abstract

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Production of f0​(1710), f0​(1500), and f0​(1370) in J/ψ hadronic decays

Abstract

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Production of $f_{0} (1710)$ , $f_{0} (1500)$ , and $f_{0} (1370)$ in $J / ψ$ hadronic decays