Abstract
Radiative decay of the $\ensuremath{\rho}$ meson has been studied within the framework of the four-point function of currents obeying $\mathrm{SU}(2)\ensuremath{\bigotimes}\mathrm{SU}(2)$ chiral algebra. A hard-pion calculation of the decay amplitude by means of the four-point function shows the correct gauge-invariant electromagnetic structure of the radiative process, while the same amplitude evaluated in the off-shell limits ${q}^{2}\ensuremath{\rightarrow}0$, ${p}^{2}\ensuremath{\rightarrow}0$ for the pions fails to account for the dominant dynamical features, such as the internal bremsstrahlung mechanism and gauge invariance. A comparative study of both on-shell and off-shell current-algebra predictions for decay rates and the photon energy spectrum have been presented, along with the results of the vector-meson pole-dominance model.
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