Light-Front Quark Model Analysis of the \((\pi ^{0},\eta ,\eta ') \to \gamma ^{*}\gamma \) Transition Form Factors

Abstract

We investigate (π 0 , η, η ) → γ * γ transition form factor (TFF) for both space-and timelike regions using the light-front quark model (LFQM). For the low energy regime, we compare our LFQM results of the TFFs for low timelike momentum transfer region and the slope parameters at q 2 = 0 with the recent experimental data from the Dalize decays of (π 0 , η, η ). For the high energy regime, we show the asymptotic behavior of TFFs for both space-and time-like regions and compare them with the available experimental data.