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

TL;DR

This paper predicts the existence of double-charm heptaquark molecular states composed of two D mesons and a nucleon, using a one-boson-exchange model and Gaussian expansion method, with potential detection at LHC.

Contribution

It introduces a novel theoretical prediction of double-charm heptaquark molecular states with specific quantum numbers, expanding the understanding of exotic hadronic matter.

Findings

Identified two potential $DD^*N$ molecular states with specific quantum numbers.

Calculated binding energies and root-mean-square radii supporting molecular nature.

States are promising candidates for experimental search at LHC.

Abstract

Inspired by the experimental discoveries of $T_{cc}$, $\Sigma_c(2800)$, and $\Lambda_c(2940)$ 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 $I(J^P)=\frac{1}{2}(\frac{1}{2}^-)$ and $\frac{1}{2}(\frac{3}{2}^-)$ $DD^*N$ 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.