Quark-loop dominance in the SU(3) σ model

Lai Him Chan, Louisiana State University


This work examines the quark-loop contributions in the renormalizable SU(3) σ model. Radiative meson-decay rates are found to be in good agreement with experiments. The quark-loop contribution is shown to dominate the vector form factor and, in the Padé approximation, the vector form factor exhibits the picture of vector dominance. To this order of approximation, the closeness between the calculated and the known values of mρ, mω, m, and Γρ provides further evidence that quarks have three colors. © 1977 The American Physical Society.