Charge symmetry breaking via rho-omega mixing from model quark-gluon dynamics

Abstract

The quark-loop contribution to the ${\rho }^0-\omega$ mixing self-energy function is calculated using a phenomenologically successful QCD-based model field theory in which the ${\rho }^0$ and $\omega$ mesons are composite $\bar{q}q$ bound states. In this calculation the dressed quark propagator, obtained from a model Dyson-Schwinger equation, is confining. In contrast to previous studies, the meson-$\bar{q}q$ vertex functions are characterised by a strength and range determined by the dynamics of the model; and the calculated off-mass-shell behaviour of the mixing amplitude includes the contribution from the calculated diagonal meson self-energies. The mixing amplitude is shown to be very sensitive to the small isovector component of dynamical chiral symmetry breaking. The spacelike quark-loop mixing-amplitude generates an insignificant charge symmetry breaking nuclear force.

11 Pages, 3 figures uuencoded and appended to this file, REVTEX 3.0. ANL-PHY-7718-TH-94, KSUCNR-004-94. [!! PostScript file format corrected. Retrieve by anonymous ftp from theory.phy.anl.gov (130.202.20.190), directory pub: mget wpfig*.ps Three files.]

References in corpus (6)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• q\bar q$ bound states in the Bethe-Salpeter formalism
• pi-pi scattering in a QCD based model field theory
• The Off Shell $\rho$-$\omega$ Mixing in the QCD Sum Rules
• Charge-Symmetry Breaking, Rho-Omega Mixing and the Quark Propagator
• $q^2$-Dependence of Meson Mixing in Few-Body Charge Symmetry Breaking: ${\pi }^o-\eta$ Mixing to One Loop in Chiral Perturbation Theory

Cited by in corpus (37)

• Rho-omega mixing, vector meson dominance and the pion form-factor
• Hadron Physics from the Global Color Model of QCD
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Electromagnetic Pion Form Factor and Neutral Pion Decay Width
• Model gluon propagator and pion and rho-meson observables
• Constraints on the momentum dependence of rho-omega mixing
• Flavour symmetry breaking and meson masses
• Rho-omega Mixing and the Pion Electromagnetic Form-Factor
• Analysis of rho-omega interference in the pion form-factor
• Pion Loop Contribution to Rho-Omega Mixing and Mass Splitting
• Off-Shell Axial Anomaly via the γ^* π^0 -> γTransition
• Extracting the rho-omega mixing amplitude from the pion form-factor
• A Non-perturbative Treatment of Heavy Quarks and Mesons
• Charge-Symmetry-Breaking Potentials from Isospin-Violating Meson-Baryon Coupling Constants
• Matter induced rho-omega mixing
• The Mixed-Isospin Vector Current Correlator in Chiral Perturbation Theory and QCD Sum Rules
• Rho-Omega Mixing via QCD Sum Rules with Finite Mesonic Widths
• Two Model-Independent Results for the Momentum Dependence of Rho-Omega Mixing
• Meson Transition Form Factors From A QCD Model Field Theory
• $\rho \omega$--Mixing and the Pion Electromagnetic Form Factor in the Nambu--Jona-Lasinio Model
• Mesonic Width Effects on the Momentum Dependence of the Rho-Omega Mixing Matrix Element
• Comparison of Chiral Perturbation Theory and QCD Sum Rule Results for Pseudoscalar Isoscalar-Isovector Mixing
• Isospin-Violating Meson-Nucleon Vertices as an Alternate Mechanism of Charge-Symmetry Breaking
• Isospin Breaking and $\omega$->$\pi \pi$ Decay
• Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
• Tri-meson-mixing of $\pi$-$\eta$-${\eta }^{\prime }$ and $\rho$-$\omega$-$\varphi$ in the light-cone quark model
• Extracting Br(omega->pi^+ pi^-) from the Time-like Pion Form-factor
• Isospin Violations in the Pion-Nucleon System
• Critical coupling for chiral symmetry breaking in QCD motivated models
• Relativistic deformed mean-field calculation of binding energy differences of mirror nuclei
• The Okamoto-Nolen-Schiffer anomaly without rho-omega mixing
• Vector Meson Mixing and Charge Symmetry Violation
• Vector Meson Dominance and Rho-Omega Mixing
• On extracting the rho-omega mixing amplitude from the pion form-factor
• Isospin-Breaking Vacuum-to-Pi^0,Eta Pseudoscalar Matrix Elements at Next-to-Leading Order in the Chiral Expansion
• Isospin breaking from diquark clustering
• A Pionic Hadron Explains the Muon Magnetic Moment Anomaly