Probing the G (3900) state in heavy-ion collisions

We investigate the interactions of the recently confirmed exotic hadron $G(3900)$ with the hadronic medium composed of light mesons produced in heavy-ion collisions. Using an effective Lagrangian approach, we compute both vacuum and thermally averaged cross sections for processes such as G(3900) + π→ D⁽⁾ + D̄⁽⁾ and their inverse reactions. Following recent proposals, the $G(3900)$ is interpreted as a P-wave DD̄^*/D^*D̄ molecular state. The resulting thermally averaged cross sections are employed in a rate equation to determine the time evolution of the $G(3900)$ multiplicity, with initial conditions provided by statistical and coalescence hadronization models. We compute the number of $G(3900)$'s produced in central Pb-Pb collisions at √sNN = 5.02 TeV and compare it with the number of produced Zc(3900)'s . We obtain a considerably smaller final yield of $G(3900)$ compared to Zc(3900).