Covariant tensor formalism for partial wave analyses of ψψ decays into γBBˉγB\bar B, γγVγγV and ψ(2S)→γχc0,1,2ψ(2S)\toγχ_{c0,1,2} with χc0,1,2→KKˉπ+π−χ_{c0,1,2}\to K\bar K π^+π^- and 2π+2π−2π^+2π^-

preprint2005arXivOpen access

Abstract

With accumulation of high statistics data at BES and CLEO-c, many new interesting channels can get enough statistics for partial wave analysis (PWA). Among them, ψ→γppˉ,γΛΛˉ,γΣΣˉ,γΞΞˉψ\to γp\bar p, γΛ\bar Λ, γΣ\barΣ, γΞ\bar Ξ channels provide a good place for studying baryon-antibaryon interactions; the double radiative decays ψ→γγVψ\toγγV with V≡ρ,ω,ϕV\equiv ρ,ω,ϕ have a potential to provide information on the flavor content of any meson resonances (R) with positive charge parity (C=+C=+) and mass above 1 GeV through ψ→γR→γγVψ\toγR \toγγV; ψ(2S)→γχc0,1,2ψ(2S)\toγχ_{c0,1,2} with χc0,1,2→KKˉπ+π−χ_{c0,1,2}\to K\bar K π^+π^- and 2π+2π−2π^+2π^- decays are good processes to study χcJχ_{cJ} charmonium decays. Using the covariant tensor formalism, here we provide theoretical PWA formulae for these channels.

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