Jψdecays and pseudoscalar-meson mixing

Mixing of η-η′ mesons in decays into a vector and a pseudoscalar meson

“…We obtain θ P = −19.4 • ±1.4 • in agreement with θ P = −20.2 • from Ref. [5] (Solution II) but with a poor χ 2 = 12.3 for 4 d.o.f. A similar value, θ P ≃ −19 • , was obtained in Ref.…”

“…In this sense, we will follow quite closely the similar analyses in Refs. [3,4,5] except that the apparently negligible effects of non-ideal mixing in the vector-meson nonet will be now taken into account. Ignoring these effects, i.e., assuming that the physical ω and φ coincide precisely with the ideally mixed states ω 0 ≡ (uū + dd)/ √ 2 and φ 0 ≡ ss, lead to 5]).…”

“…Part of these data were already used in the analyses of Refs. [3,4,5]; our purpose here consists also in improving these analyses by using the complete set.Attempts to understand these decays in a phenomenological context started immediately after the appearence of the data and all these attempts were based on the same essential model with slight variations [3,4,5,7]. The dominant piece of the amplitude is unanimously assumed to proceed through the annihilation of the initial cc pair into the SU(3)-flavorless part of the final V P system via three (or more) gluons; we will denote this strong…”

“…Part of these data were already used in the analyses of Refs. [3,4,5]; our purpose here consists also in improving these analyses by using the complete set.…”

STUDY ON HADRONIC DECAY OF THE LOWEST LYING GLUEBALLS WITH JPC=even++ TO TWO PSEUDOSCALAR MESONS

“…10 the authors investigated the quarkonia-glueball content of η, η and ι by using the mixing scheme of η − η − ι presented in Ref. 9 and the data of the electromagnetic interaction processes such as ω → πγ, ρ → ηγ, π → γγ, φ → ηγ, η γ, η → γγ, η → ργ, γγ and J/ψ → ρη, ρη , ωπ 11 to fit the variables θ 1 , θ 2 and θ 3 in the parametrizations presented in Appendix A. The results are obtained as: x η = 0.730, y η = −0.677, z η = 0.094, x η = 0.564, y η = 0.675 and z η = 0.476 with χ 2 /DF (χ 2 per degree of freedom) of 2.19/5, which also suggests that the glueball component of the η cannot be neglected.…”