The Momentum Dependence of the $\rho -\omega$ Mixing Amplitude in a Hadronic Model

Abstract

We calculate the momentum dependence of the $\rho -\omega$ mixing amplitude in a purely hadronic model. The basic assumption of the model is that the mixing amplitude is generated by $N\bar{N}$ loops and thus driven entirely by the neutron-proton mass difference. The value of the amplitude at the $\omega$-meson point is expressed in terms of only the $NN\omega$ and the $NN\rho$ coupling constants. Using values for these couplings constrained by empirical two-nucleon data we obtain a value for the mixing amplitude in agreement with experiment. Extending these results to the spacelike region, we find a $\rho -\omega$ contribution to the NN interaction that is strongly suppressed and opposite in sign relative to the conventional contribution obtained from using the constant on-shell value for the mixing amplitude.

11 pages, SCRI-122192

Cited by in corpus (51)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Rho-omega mixing, vector meson dominance and the pion form-factor
• The nucleon-nucleon interaction
• Self-consistent description of finite nuclei based on a relativistic quark model
• Charge Symmetry Breaking and QCD
• Constraints on the momentum dependence of rho-omega mixing
• The Off Shell $\rho$-$\omega$ Mixing in the QCD Sum Rules
• Rho-omega Mixing and the Pion Electromagnetic Form-Factor
• Analysis of rho-omega interference in the pion form-factor
• Charge symmetry breaking of the nucleon-nucleon interaction: $\rho$-$\omega$ mixing VERSUS nucleon mass splitting
• Extracting the rho-omega mixing amplitude from the pion form-factor
• Charge-Asymmetry of the Nucleon-Nucleon Interaction
• Off-shell Behavior of the $\pi -\eta$ Mixing Amplitude
• Rho-Omega Mixing Off Shell and Charge Symmetry Breaking In the N-N Potential
• Matter induced rho-omega mixing
• Charge-Symmetry-Breaking Potentials from Isospin-Violating Meson-Baryon Coupling Constants
• 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
• Pionic dispersion relations in the presence of a weak magnetic field
• $\rho \omega$--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
• Pi- Eta Mixing from QCD Sum Rules
• Isospin Breaking and $\omega$->$\pi \pi$ Decay
• Isospin Violations in the Pion-Nucleon System
• Off-Shell Rho-Omega Mixing Through Quark Loops With Non-Perturbative Meson Vertex And Quark Mass Functions
• Modern nucleon-nucleon interactions and charge-symmetry breaking in nuclei
• Up-Down Quark Mass Difference Effect in Nuclear Many-Body Systems
• Meson mixing amplitudes in asymmetric nuclear matter
• Matter induced charge symmetry breaking and pion form factor in nuclear medium
• Weak magnetic field corrections to light vector or axial mesons mixings and vector meson dominance
• Relativistic deformed mean-field calculation of binding energy differences of mirror nuclei
• Few Body Reserch - Summary
• Vector Meson Mixing and Charge Symmetry Violation
• $\rho$-$\omega$ mixing and spin dependent CSV potential
• Effects of medium-induced $\rho -\omega$ meson mixing on the equation of state in isospin-asymmetric nuclear matter
• The Okamoto-Nolen-Schiffer anomaly without rho-omega mixing
• Temperature and Density Effects on the Nucleon Mass Splitting
• On extracting the rho-omega mixing amplitude from the pion form-factor
• $\rho$-mass Modification in $H{e}^3$ - a Signal of Restoration of Chiral Symmetry or Test for Nuclear Matter Models ?
• Scalar and vector meson propagation in asymmetric nuclear matter
• The impact of charge symmetry and charge independence breaking on the properties of neutrons and protons in isospin-asymmetric nuclear matter
• Competition between homogeneous and local processes in a diffusive many-body system
• ${\rho }^0-\omega$ mixing in the presence of a weak magnetic field
• Isospin breaking from diquark clustering
• Matter induced charge symmetry violating NN potential
• $\pi$-$\eta$ mixing and charge symmetry violating NN potential in matter
• Charge symmetry breaking effects of $\omega$-${\rho }^0$ mixing in relativistic mean-field model