Pion loop contribution to {rho}-{omega} mixing and mass splitting
- Center for Nuclear Research, Department of Physics, Kent State University, Kent, Ohio 44242 (United States)
We study the self-energy amplitudes for the {rho}-{omega} meson system produced by an effective field theory model at the quark level characterized by a finite range quark-quark interaction and an isospin breaking bare quark mass difference m{sub u}{minus}m{sub d}. Dynamical effects associated with confinement and dressing of quarks and the finite size of the produced {bar q}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{sub {omega}} and g{sub {rho}{pi}{pi}}. Calculations are carried out up to the one-pion-loop level and the predictions for {rho}{sup 0}-{omega} mixing, mass splitting, the {rho} width and the symmetry breaking {omega}{pi}{pi} coupling constant and form factor are presented. The contribution of the direct {omega}{r_arrow}{pi}{pi} process relative to the {omega}{r_arrow}{rho}{r_arrow}{pi}{pi} process is discussed within this model. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 515652
- Journal Information:
- Physical Review, C, Vol. 55, Issue 3; Other Information: PBD: Mar 1997
- Country of Publication:
- United States
- Language:
- English
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