Femtoscopic study on $$DD^*$$ and $$D\bar{D}^*$$ interactions for $$T_{cc}$$ and X(3872)

Abstract

AbstractWe investigate $$DD^*$$ D D ∗ and $$D\bar{D}^*$$ D D ¯ ∗ momentum correlations in high-energy collisions to elucidate the nature of $$T_{cc}$$ T cc and X(3872) exotic hadrons. Single range Gaussian potentials with the channel couplings to the isospin partners are constructed based on the empirical data within the pure hadronic-molecule picture. The momentum correlation functions of the $$D^0D^{*+}$$ D 0 D ∗ + , $$D^+D^{*0}$$ D + D ∗ 0 , $$D^0\bar{D}^{*0}$$ D 0 D ¯ ∗ 0 , and $$D^+D^{*-}$$ D + D ∗ - pairs are computed with including the coupled-channel effects. We discuss how the nature of the exotic states are reflected in the behaviors of the correlation results.