Axial Currents of Virtual Charm in Light Quark Processes

Abstract

The systematic investigations of the role of the virtual charm axial currents in the decay of $B$-mesons to $η'$ $K$ 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 $η'$ to the charm axial current and found $f_{η'}^{(c)} (μ\simeq m_c) = - (12.3 \sim 18.4 {\rm MeV}), $ providing a possibility for the explanations of the recent experimental data on $B \to η' K$-decay. Analogous calculations of the virtual charm content of the nucleon spin leads to $Δc (μ\simeq m_c) = - (0.015 \sim 0.024),$ which is one order of magnitude smaller than the analogous contribution of the strange quark.