$1/N_c$ Nambu -- Jona-Lasinio model: $π^0$, $η$ and $η'$ mesons

We continue to study the properties of the light pseudoscalar nonet within the combined framework of Nambu – Jona-Lasinio model and $1 / N_{c}$ expansion, assuming that current quark masses count of order $O (1 / N_{c})$ . The masses, mixing angles and decay constants of the $π^{0}$ , $η$ and $η^{'}$ are calculated. The role of the $U (1)_{A}$ anomaly is emphasized. It is shown that the gluon anomaly suppresses the leading order effects that might otherwise be substantial for the $η \to 3 π$ amplitude. A detailed comparison with the known results of $1 / N_{c}$ chiral perturbation theory is made.

$1 / N_{c}$ Nambu -- Jona-Lasinio model: $π^{0}$ , $η$ and $η^{'}$ mesons

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$1 / N_{c}$ Nambu -- Jona-Lasinio model: $π^{0}$ , $η$ and $η^{'}$ mesons

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1/Nc1/Nc​ Nambu -- Jona-Lasinio model: π0π0, ηη and η′η′ mesons

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1/Nc1/Nc​ Nambu -- Jona-Lasinio model: π0π0, ηη and η′η′ mesons

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$1 / N_{c}$ Nambu -- Jona-Lasinio model: $π^{0}$ , $η$ and $η^{'}$ mesons

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$1 / N_{c}$ Nambu -- Jona-Lasinio model: $π^{0}$ , $η$ and $η^{'}$ mesons

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