By breaking the initial SU(N) symmetry, we derive the Lagrangian governing the dynamics of the massive scalar particles, which can be treated as the octet of the pseudoscalar mesons. The contribution of both the quark-gluon interaction and self-interaction gluon fields into the masses of the octet of particles is considered. Provided that the hadronization of the confinement matter into the pion triplet occurs, the coupling constant is evaluated in the developed model.
1.A. V. Koshelkin, Phys.Rev.D, v.92 , 045017 (2015).