2020 journal article

Chiral anomaly and the pion properties in the light-front quark model

PHYSICAL REVIEW D, 102(3).

By: H. Choi* & C. Ji*

co-author countries: Korea (Republic of) 🇰🇷
Source: Web Of Science
Added: August 24, 2020

We explore the link between the chiral symmetry of QCD and the numerical results of the light-front quark model, analyzing both the two-point and three-point functions of the pion. Including the axial-vector coupling as well as the pseudoscalar coupling in the light-front quark model, we discuss the implication of the chiral anomaly in describing the pion decay constant, the pion-photon transition form factor and the electromagnetic form factor of the pion. In constraining the model parameters, we find that the chiral anomaly plays a critical role and the analysis of ${F}_{\ensuremath{\pi}\ensuremath{\gamma}}({Q}^{2})$ in timelike region is important. Our results indicate that the constituent quark picture is effective for the low and high ${Q}^{2}$ ranges implementing the quark mass evolution effect as ${Q}^{2}$ grows.