Production of the $T_{cc}^{+}$ state in the $\gamma p\to D^{+}{\bar{T}}_{cc}^{-}{\Lambda }_c^{+}$ reaction

Abstract

Stimulated by the recent LHCb observation of a new exotic charged structure $T_{cc}^{+}$, we propose to use the central diffractive mechanism existing in the $\gamma p\to D^{+}{\bar{T}}_{cc}^{-}{\Lambda }_c^{+}$ (${\bar{T}}_{cc}$ is antiparticle of $T_{cc}^{+}$) reaction to produce $T_{cc}^{+}$. Our theoretical approach is based on the chiral unitary theory where the $T_{cc}^{+}$ resonance is dynamically generated. With the coupling constant of the $T_{cc}^{+}$ to $D{D}^{\ast }$ channel obtained from chiral unitary theory, the total cross sections of the $\gamma p\to D^{+}{\bar{T}}_{cc}^{-}{\Lambda }_c^{+}$ reaction are evaluated. Our study indicates that the cross section for $\gamma p\to D^{+}{\bar{T}}_{cc}^{-}{\Lambda }_c^{+}$ reaction are of the order of 1.0 pb, which is accessible at the proposed EicC~\cite{Anderle:2021wcy} and US-EIC~\cite{Accardi:2012qut} due to the higher luminosity. If measured in future experiments, the predicted total cross sections can be used to test the (molecular) nature of the $T_{cc}^{+}$.