Source Dependent Photon Confinement Model (PCM) Correction to the Two Source Photonuclear Amplitude

In ultra-peripheral heavy ion collisions, either nucleus can act as the photon emitter while the other acts as the photonuclear target, producing a coherent two source interference pattern and an impact-parameter-dependent azimuthal anisotropy. I present a source-dependent Photon-Confinement Model (PCM) correction applied directly to the individual production amplitudes rather than using ad hoc momentum shifts. By introducing source dependent phase modifications, I demonstrate that the leading-order PCM correction scales as 1/b² in the weak-confinement limit. This provides a rigorous, falsifiable theoretical framework to evaluate confinement-induced modifications against experimentally observed azimuthal anisotropies.

Ultra peripheral collisions, photonuclear amplitude, two source interference, azimuthal anisotropy (a2), and the Photon Confinement Model (PCM)

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