Double-charm heptaquark states composed of two charmed mesons and one nucleon

Inspired by the experimental discoveries of Tcc, ςc(2800), and Λc(2940) and the theoretical picture where they are DD∗, DN, and D∗N molecular candidates, we investigate the double-charm heptaquark system of DD∗N. We employ the one-boson-exchange model to deduce the pairwise D-D∗, D-N, and D∗-N potentials and then study the DD∗N system with the Gaussian expansion method. We find two good hadronic molecular candidates with I(JP)=12(12+) and 12(32+) DD∗N with only S-wave pairwise interactions. The conclusion remains unchanged even taking into account the S-D mixing and coupled channel effects. In addition to providing the binding energies, we also calculate the root-mean-square radii of the DD∗N system, which further support the molecular nature of the predicted states. They can be searched for at the upcoming LHC run 3 and run 4.