Calculations of Di-Hadron Production via Two-Photon Processes in Relativistic Heavy-Ion Collisions

Two-photon processes in relativistic heavy-ion collisions have emerged as a critical probe of quantum electrodynamics in ultra-intense electromagnetic fields, with recent focus extending beyond dileptons to hadronic final states. At present, quantitative studies of di-hadron production via two-photon interactions remain scarce. In this work, we employ the Equivalent Photon Approximation and the two-photon fusion measurements from $e^{+}{e}^{-}$ collisions to obtain differential cross-section predictions for ${\pi }^{+}{\pi }^{-}$, $K^{+}{K}^{-}$, and $p\bar{p}$ pairs produced in ultra-peripheral $\mathrm{A}\mathrm{u}+\mathrm{A}\mathrm{u}$ collisions at $\sqrt{s_{NN}}=200\text{GeV}$ within the STAR acceptance, as well as in $\mathrm{P}\mathrm{b}+\mathrm{P}\mathrm{b}$ collisions at $\sqrt{s_{NN}}=5.36\text{TeV}$ within typical LHC acceptance. The calculations deliver the unified baseline for light-meson and baryon pairs in this environment, supplying benchmarks for upcoming STAR and LHC measurements and guiding future systematic investigations of hadronic two-photon processes at RHIC and LHC facilities.