B to eta' + X and The QCD Anomaly

preprint1997arXivOpen access

Abstract

Mechanisms for the observed large Br(B→η′+Xs)Br(B \to η' +X_s) are examined. We propose that the dominant fraction of the B→η′+XsB \to η' +X_s rate is due mainly to b→sg∗b \to s g^*, where g∗g^* is an off-shell gluon, followed by g∗→gη′g^* \to gη' via the anomalous coupling of the η′η' to two gluons. The calculated rate for B→η′+XsB \to η'+X_s is in rough accord with experiment using a fairly constant glue-glue-η′η' form factor. This behavior of the form factor may be indicative of glueball dominance of the channel. Searches via the modes η′h+h−η' h^+h^- (h=πh=π or KK) may be worthwhile. Charmonia contributions [i.e B→ηc,ψ(→η′+X)+XsB \to η_c, ψ(\to η'+X) +X_s] can only account for at most 20% of the central value of the signal. Implications for B→η′+XdB \to η' +X_d and for the corresponding ηη modes are also given.

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