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Contributions of semi-hadronic states $Pγ;Sγ, π^+π^-γ$ to amm of muon, in frames of Nambu-Jona-Lasinio model

We calculate the contribution of semi-hadronic states with pseudoscalar $P=π^0, η$ and scalar ($σ$(550))meson accompanied with real photon as an intermediate state of a heavy photon to the anomalous magnetic moment of muon. We consider the intermediate states with $π_0$ and $σ$ as a hadrons in frames of Nambu-Jona-Lasinio model. The contribution of $π_0γ$ state is in agreement with results obtained in previous theoretical considerations as well as with experimental data $a_μ^{π_0γ}\approx 4.5 \times 10^{-10}$, besides we estimate $a_μ^{ηγ}=0.7 \times 10^{-10}, a_μ^{σγ} \sim 1.5 \times 10^{-11}, a_μ^{π^+π^-γ} \sim 3.2 \times 10^{-10}.$ We discass as well the LbL mechanism with $a_μ^{lbl}=10.5 \cdot 10^{-10}.$