Following our previous work [C. Y. Liu, Mod. Phys. Lett. A 36, 2150080 (2021), doi:10.1142/S0217732321500802], we investigate the masses of some pseudoscalar mesons which have the anomalous decays from axial anomaly (the Adler–Bell–Jackiw anomaly). We apply a non-perturbative mass formula to study the neutral single flavor pseudoscalar meson [Formula: see text]. We find the mass of pseudoscalar meson [Formula: see text] which can solve the problem of double [Formula: see text] production in [Formula: see text] annihilation at [Formula: see text] and obtain the mass of pseudoscalar meson [Formula: see text] which is the same as the invariant mass of [Formula: see text] pairs produced in association with [Formula: see text] jet in [Formula: see text]-collisions at the LHC. We generalize this formula to three flavors pseudoscalar mesons, we obtain the mass of [Formula: see text] meson [Formula: see text] which is almost the same as the experimental value [Formula: see text].