  We have investigated the single and double diffractive production of
dileptons and photons in ultra-peripheral collisions at the Large Hadron
Collider (LHC). Utilizing advanced theoretical models that integrate quantum
electrodynamics (QED) and Quantum Chromodynamics (QCD) frameworks, we analyze
the differential cross sections of these processes, with particular emphasis on
the role of the Pomeron and resolved Pomeron structures, as well as resolved
photon structures. Our research employs diffractive production mechanisms to
predict dilepton and photon production rates under various LHC energy
scenarios. Our results demonstrate distinct production patterns for single and
double diffractive processes, highlighting their potential as probes for
studying the electromagnetic structure of heavy ions and the dynamics of soft
interactions in high-energy collisions. This paper provides new insights into
the photon-mediated and Pomeron-mediated production mechanisms and sets the
stage for future experimental investigations at collider facilities.
