Transition form-factor of $\gamma \to 3\pi$ in nonlocal quark model

Abstract

The transition form factor of a gamma into three pions $F_{3\pi }$ are studied in a framework of nonlocal chiral quark model. In local limit the result is agreement with chiral perturbative theory and reproduce Wess-Zumino-Witten anomaly. Availability of nonlocality not change a value of transition form factor in chiral limit. On the physical threshold of reaction, the transition form factor $F_{3\pi }$ is obtained close to the experimental data on account of current mass of quark.

7 pages (3 Figures)

References in corpus (11)

• Extracting the chiral anomaly from gamma pi --> pi pi
• The $\pi \pi \to \pi {\gamma }^{\star }$ amplitude and the resonant $\rho \to \pi {\gamma }^{\star }$ transition from lattice QCD
• The resonant ${\pi }^{+}\gamma \to {\pi }^{+}{\pi }^0$ amplitude from Quantum Chromodynamics
• On covariant nonlocal chiral quark models with separable interactions
• Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
• The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
• The light-by-light contribution to the muon (g-2) from lightest pseudoscalar and scalar mesons within nonlocal chiral quark model
• The chiral condensate from renormalization group optimized perturbation
• Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model
• Matching lightcone- and anomaly-sum-rule predictions for the pion-photon transition form factor
• Vector and axial vector mesons in a nonlocal chiral quark model

Cited by in corpus (1)

• Strong Decays of observed ${\Lambda }_c$ Baryons in the ${}^3{P}_0$ Model