Abstract
The study on \$\rho-ømega\$ mixing is mainly focused on vector mesons decay
with isospin I=1, namely \$\rho(ømega)\to\pi^+\pi^-\$ process. In this paper, we
present the study of \$\rho-ømega\$ mixing in \$\rho(ømega)\to\pi^+\pi^-\pi^0\$
(I=0) using a flavor parameterization model for \$J/\psiVP\$ process. By
fitting theoretical frame to PDG data, we obtain the SU(3)-breaking effect
parameters \$s\_V=0.030.12,\ s\_P=0.170.17\$ and the \$\rho-ømega\$ mixing
polarization operator \$\Pi\_ømega=0.0060.011\textGeV^2\$.
The branching ratios are also renewed when mixing effect is incorporated:
\$Br(J/\psiømega\pi^0) = (3.64 0.37)10^-4\$, \$Br(J/\psi\to
ømega\eta) = (1.48 0.17)10^-3\$, \$Br(J/\psi\to
ømega\eta^\prime) = (1.550.56)10^-4\$; they are different from
the corresponding PDG2012 values by 19\%, 15\% and 15\%, respectively.
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