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The GlueX experiment at Jefferson Lab studies photoproduction of mesons using linearly polarized 8.5GeV photons impinging on a hydrogen target which is contained within a detector with near-complete coverage for charged and neutral particles. We present measurements of spin-density matrix elements for the photoproduction of the vector meson 𝜌(770). The statistical precision achieved exceeds that of previous experiments for polarized photoproduction in this energy range by orders of magnitude. We confirm a high degree of 𝑠-channel helicity conservation at small squared four-momentum transfer 𝑡 and are able to extract the 𝑡 dependence of natural- and unnatural-parity exchange contributions to the production process in detail. We confirm the dominance of natural-parity exchange over the full 𝑡 range. We also find that helicity amplitudes in which the helicity of the incident photon and the photoproduced 𝜌⁡(770) differ by two units are negligible for −𝑡<0.5GeV2/𝑐2. 

The explicit breaking of the axial symmetry by quantum fluctuations gives rise to the so-called axial anomaly. This phenomenon is solely responsible for the decay of the neutral pion π 0 into two photons (γγ), leading to its unusually short lifetime. We precisely measured the decay width Γ of the π 0 →   γ γ process. The differential cross sections for π 0 photoproduction at forward angles were measured on two targets, carbon-12 and silicon-28, yielding Γ ( π 0 →   γ γ ) = 7.798 ± 0.056 ( stat . ) ± 0.109 ( syst . )  eV , where stat. denotes the statistical uncertainty and syst. the systematic uncertainty. We combined the results of this and an earlier experiment to generate a weighted average of Γ ( π 0 →   γ γ ) = 7.802 ± 0.052 ( stat . ) ± 0.105 ( syst . )  eV . Our final result has a total uncertainty of 1.50% and confirms the prediction based on the chiral anomaly in quantum chromodynamics.