$\rho -\omega$ Mixing in $J/\psi \to VP$ Decays

Abstract

The study on $\rho -\omega$ mixing is mainly focused on vector mesons decay with isospin I=1, namely $\rho (\omega )\to {\pi }^{+}{\pi }^{-}$ process. In this paper, we present the study of $\rho -\omega$ mixing in $\rho (\omega )\to {\pi }^{+}{\pi }^{-}{\pi }^0$ (I=0) using a flavor parameterization model for $J/\psi \to VP$ 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 $\rho -\omega$ mixing polarization operator ${\Pi }_{\rho \omega }=0.006\pm 0.011{\text{GeV}}^2$. The branching ratios are also renewed when mixing effect is incorporated: $Br(J/\psi \to \omega {\pi }^0)=(3.64\pm 0.37)\times 10^{-4}$, $Br(J/\psi \to \omega \eta )=(1.48\pm 0.17)\times 10^{-3}$, $Br(J/\psi \to \omega {\eta }^{\prime })=(1.55\pm 0.56)\times 10^{-4}$; they are different from the corresponding PDG2012 values by 19%, 15% and 15%, respectively.

Comments: Submitted to Chinese Physics C (CPC). 8 pages, 3 figures (one of them with 5 subfigures), 3 tables