$ρ- ω$ Mixing in $J/ψ\to VP$ Decays

Abstract

The study on $ρ-ω$ mixing is mainly focused on vector mesons decay with isospin I=1, namely $ρ(ω)\toπ^+π^-$ process. In this paper, we present the study of $ρ-ω$ mixing in $ρ(ω)\toπ^+π^-π^0$ (I=0) using a flavor parameterization model for $J/ψ\to VP$ process. By fitting theoretical frame to PDG data, we obtain the SU(3)-breaking effect parameters $s_V=0.03\pm 0.12,\ s_P=0.17\pm 0.17$ and the $ρ-ω$ mixing polarization operator $Π_{ρω}=0.006\pm 0.011\text{\text{GeV}}^2$. The branching ratios are also renewed when mixing effect is incorporated: $Br(J/ψ\to ωπ^0) = (3.64 \pm 0.37)\times 10^{-4}$, $Br(J/ψ\to ωη) = (1.48 \pm 0.17)\times 10^{-3}$, $Br(J/ψ\to ωη^{\prime}) = (1.55\pm 0.56)\times 10^{-4}$; they are different from the corresponding PDG2012 values by 19%, 15% and 15%, respectively.