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

摘要

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 $J/\psi\to V f_0 \to V PP$ isreported based on a previously proposed glueball and $Q\bar{Q}$ nonet mixingscheme, and a factorization for the decay of $J/\psi\to V f_0^i$, where $V$denotes the isoscalar vector mesons $\phi$ and $\omega$, and $P$ denotespseudoscalar mesons. The results show that the $J/\psi$ decays are verysensitive to the structure of those scalar mesons, and suggest a glueball inthe $1.5-1.7$ GeV region, in line with Lattice QCD. The presence of significantglueball mixings in the scalar wavefunctions produces peculiar patterns in thebranching ratios for $J/\psi\to V f_0^i\to VPP$, which are in good agreementwith the recently published experimental data from the BES collaboration.