B to eta' + X and The QCD Anomaly

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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19 pages, 5 figures

Scientific paper

10.1016/S0370-2693(97)00592-3

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

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