  The contribution of pseudoscalar pole diagrams to the hadronic light-by-light
corrections of order alpha^3 E_F to the ground state hyperfine splitting in
hydrogenic atom is calculated in the pseudoscalar pole terms approximation. The
vector dominance model for the form factor of the transition of a pseudoscalar
meson into two photons is used. With the account of new experimental data on
the cross sections sigma (e^+e^-\to \rho, \omega \to \pi^0(\eta)\gamma) in the
SND and CMD-2 experiments some other hadronic corrections to the muonium
hyperfine splitting are calculated.
