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Model gluon propagator and pion and ρ-meson observables

1996; American Institute of Physics; Volume: 53; Issue: 1 Linguagem: Inglês

10.1103/physrevc.53.390

1538-4497

M. R. Frank, Craig D. Roberts,

High-Energy Particle Collisions Research

A one parameter, model confined-gluon propagator is employed in a phenomenological application of the Dyson-Schwinger and Bethe-Salpeter equations to the calculation of a range of \ensuremath{\pi}- and \ensuremath{\rho}-meson observables. Good agreement is obtained with the data. The calculated quark propagator does not have a singularity on the real-${\mathit{p}}^{2}$ axis. A mass formula for the pion, involving only the vacuum, dressed quark propagator, is presented and shown to provide an accurate estimate of the mass obtained via a direct solution of the Bethe-Salpeter equation. \textcopyright{} 1996 The American Physical Society.