Meson mass spectrum and the Fermi coupling Gurjav Ganbold

A new insight into the problem of hadron mass spectrum is provided in the framework of the covariant confined quark model. Along the compositeness condition enabling the elimination of the renormalization constant of the elementary hadron wave function in the Yukawa-type theory, we employ another equation which relates the meson mass function to the Fermi coupling of the relevant four-fermion interaction. Both equations guarantee that the Yukawa-type theory is equivalent to the Fermi-type theory, thereby providing an interpretation of the meson field as the bound state of constituent fermions (quarks). We evaluate the Fermi coupling G as a function of the meson mass M and vary the values of the mass so that to obtain a smooth behavior of G(M). The conventional (pseudoscalar and vector) meson mass spectrum estimated in this manner is found to be in good agreement with the latest experimental data in a wide range of mass scale. We also compare the behavior of the obtained G(M) with the strong QCD coupling as calculated in a QCD-inspired approach