Inclusive Photon Spectra and High-Energy Multiplicities

The consequences of Feynman scaling are examined for photon spectra at $x=0\mathrm{}$ arising from ${\pi }^0$ decays. A consistency condition on the photon distribution is obtained. The lowtransverse-momentum region is examined in detail and the contribution of bremsstrahlung computed to be $\frac{\left(\frac{k}{{\sigma }_{\mathrm{tot}}}\right)d\sigma }{d^{3}k}=\left(\frac{\alpha }{{\pi }^{2}k_{\perp }^{}{}_{}{}^2}\right)〈{\left(\Delta Q_R\right)}^2〉$, where $\Delta Q_R$ is the final right-moving charge minus the initial right-moving charge. This relation, together with the consistency condition, provides a new means of obtaining pertinent multiplicity information at very high energies.