On flavor mixing by an effective Light-Cone QCD-Hamiltonian

Abstract

The $\uparrow\downarrow$-model has produced the physical masses of all flavor-asymmetric mesons like the $π^\pm$ or the $ρ^\pm$. Can the same model also account for the flavor-symmetric mesons like the $π^0$ or the $ρ^0$? -- By adjusting one parameter in a $5\times5$-matrix, the $π$-$η$ degeneracy is lifted and the $η-η'$ splitting falls into the right ball park. The isospin triplets for pions and rhos are caused the mass-degeneracy of the up and down quark.