$ρ-ω-$Interference in $J/ψ-$Decays and $ρ\to π^+π^-π^0$ Decay

Liu Fang; Li Jin; Yi-Bin Huang; Mu-Lin Yan

paper

$ρ - ω -$ Interference in $J / ψ -$ Decays and $ρ \to π^{+} π^{-} π^{0}$ Decay

arXiv:hep-ph/0401019

Abstract

We study $ρ - ω -$ interference by analyzing $J / ψ \to π^{+} π^{-} π^{0} π^{0}$ . PDG-2002 data on $J / ψ$ decays into $P P$ and $P V$ ( $P$ denotes pseudoscalar mesons; $V$ , vector mesons) are used to fit a generic model which describes the $J / ψ$ decays. From the fits, we obtain anomalously large branching ratio $B r (ρ^{0} \to π^{+} π^{-} π^{0}) \sim 1 0^{- 3} - 1 0^{- 2}$ . A theoretical analysis for it is also provided, and the prediction is in good agreement with the anomalously large $B r (ρ^{0} \to π^{+} π^{-} π^{0})$ . By the fit, we also get the $η - η^{'} -$ mixing angle $θ = - 19.6 8^{o} \pm 1.4 9^{o}$ and the constituent quark mass ratio $m_{u} / m_{s} \sim 0.6$ which are all reasonable.

LaTeX file, no figure, to appear in the High Energe Phys and Nuclear Phys (Beijing)

ρ−ω−Interference in J/ψ−Decays and ρ→π+π−π0 Decay

Abstract

$ρ - ω -$ Interference in $J / ψ -$ Decays and $ρ \to π^{+} π^{-} π^{0}$ Decay