Abstract

The radiative transitions ψ′→γ+χ J and χ J →γ+ψ are studied in the quark model with the ψ and ψ′ interpreted conventionally as3 S 1 $$c\bar c$$ states and the χ J as3 P J $$c\bar c$$ states. In particular, the effect of3 S 1−3 D 1 mixing on the decay widths is calculated. The photon angular distributions in these decays are also studied and are found to be a more sensitive test of3 D 1 admixtures in the Ψ states. The3 D 1 content of the Ψ is found to be large but the estimate is very sensitive to the photon angular distributions. More precise measurements could help to explain the large ψ″ leptonic width.

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