Axial Currents of Virtual Charm in Light Quark Processes

Details Axial Currents of Virtual Charm in Light Quark Processes Axial Currents of Virtual Charm in Light Quark Processes

1998-08-10

arxiv.org/abs/hep-ph/9808290v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, revtex, new references and PACS Codes added, minor corrections are made

Scientific paper

The systematic investigations of the role of the virtual charm axial currents in the decay of $B$-mesons to $\eta '$ $K$ and the spin structure of the nucleon are performed. We reduce the divergence of the virtual charm axial current to a specific gluon operator. Since this operator receives the main contribution from topologically nontrivial components of the QCD vacuum, we rederive the Dyakonov-Petrov Effective Action, based on the instanton QCD vacuum model. This action is applied to the calculations of the coupling of $\eta '$ to the charm axial current and found $f_{\eta '}^{(c)} (\mu \simeq m_c) = - (12.3 \sim 18.4 {\rm MeV}), $ providing a possibility for the explanations of the recent experimental data on $B \to \eta ' K$-decay. Analogous calculations of the virtual charm content of the nucleon spin leads to $\Delta c (\mu \simeq m_c) = - (0.015 \sim 0.024),$ which is one order of magnitude smaller than the analogous contribution of the strange quark.

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