Mass Ratio of Quarks

The concept of "convective" currents proportional to the total momentum of a spin-½ particle-anti-particle fermion system, which was recently investigated by Barut, Cordero, and Ghirardi, is applied to a quark triplet system. The "convective" currents in the triplet system are introduced as an extra ${\mathrm{SU}}_3$ symmetry-breaking term. The field equation thus obtained involves certain constants; our particular choice of these constants leads to a relation for the quark masses that fixes the ratio $\frac{m_1}{m_3}$, where $m_1=m_2$ is the mass of the light quarks, and $m_3$ is the mass of the heavy "strange" quark. The derived mass ratios provide a consistent interpretation of the mass spectra of pseudoscalar and vector mesons and the octet and decuplet baryons, if we assume that the mass of a composite elementary particle is directly proportional to the sum of the masses of its quark content.