Kl. Mitchell et Pc. Tandy, PION LOOP CONTRIBUTION TO P-OMEGA MIXING AND MASS SPLITTING, Physical review. C. Nuclear physics, 55(3), 1997, pp. 1477-1491
We study the self-energy amplitudes for the rho-omega meson system pro
duced by an effective held theory model at the quark level characteriz
ed by a finite range quark-quark interaction and an isospin breaking b
are quark mass difference m(u)-m(d). Dynamical effects associated with
confinement and dressing of quarks and the finite size of the produce
d (q) over bar q meson modes are treated. Parameters of this approach,
previously constrained by soft pion physics, are here supplemented in
a minimal way to reproduce m(omega) and g(rho pi pi). Calculations ar
e carried out up to the one-pion-loop level and the predictions for rh
o(0)-omega mixing, mass splitting, the rho width and the symmetry brea
king omega pi pi coupling constant and form factor are presented. The
contribution of the direct omega-->pi pi process relative to the omega
-->rho-->pi pi process is discussed within this model.