Pi- Eta Mixing from QCD Sum Rules

Abstract

The $q^2$ dependence of the $\pi$-$\eta$ mixing amplitude is examined with the use of QCD sum rules. The linear slope of the mixing function $\theta (q^2)$ is found to be much smaller than that for $\rho$-$\omega$ mixing. Thus the mixing amplitude is approximately the same in the space-like region as in the time-like one, and one may neglect the $q^2$ dependence of the mixing. A comparison between a hadron-meson, an effective chiral model, and the QCD sum rules approaches is made.

14 pages (written in REVTEX) + 1 fig. (available as hardcopy only on request), preprint no.DOE/ER/40561-133-INT94-0053

References in corpus (7)

• The Momentum Dependence of the $\rho -\omega$ Mixing Amplitude in a Hadronic Model
• Constraints on the momentum dependence of rho-omega mixing
• The Off Shell $\rho$-$\omega$ Mixing in the QCD Sum Rules
• Charge-Symmetry Breaking, Rho-Omega Mixing and the Quark Propagator
• Off-shell Behavior of the $\pi -\eta$ Mixing Amplitude
• $q^2$-Dependence of Meson Mixing in Few-Body Charge Symmetry Breaking: ${\pi }^o-\eta$ Mixing to One Loop in Chiral Perturbation Theory
• Modelling the Off-Shell Dependence of ${\pi }^o-\eta$ Mixing with Quark Loops

Cited by in corpus (8)

• The Mixed-Isospin Vector Current Correlator in Chiral Perturbation Theory and QCD Sum Rules
• Two Model-Independent Results for the Momentum Dependence of Rho-Omega Mixing
• The $B_K$ Kaon Parameter in the Chiral Limit
• Isospin-Violating Meson-Nucleon Vertices as an Alternate Mechanism of Charge-Symmetry Breaking
• On eta-pi mixing close to the eta-Helium threshold
• In-medium Σ^0-ΛMixing in QCD Sum Rules
• Isospin-Breaking Vacuum-to-Pi^0,Eta Pseudoscalar Matrix Elements at Next-to-Leading Order in the Chiral Expansion
• QCD Sum Rules for the Isospin-Breaking Axial Correlator with Correct Chiral Behavior