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

Abstract

We investigate $D{D}^{\ast }$ and $D{\bar{D}}^{\ast }$ momentum correlations in high-energy collisions to elucidate the nature of $T_{cc}$ and $X(3872)$ exotic hadrons. Single range Gaussian potentials with the channel couplings to the isospin partners are constructed based on the empirical data. The momentum correlation functions of the $D^0{D}^{\ast +}$, $D^{+}{D}^{\ast 0}$, $D^0{\bar{D}}^{\ast 0}$, and $D^{+}{D}^{\ast -}$ 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.

Comments: 6 pages, 2 figures