Regular Article – Theoretical Physics
Quadruply charmed dibaryons as heavy quark symmetry partners of the DDK bound state
School of Physics, Beihang University, 100191, Beijing, China
2 Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, 100191, Beijing, China
3 School of Physics and Microelectronics, Zhengzhou University, 450001, Zhengzhou, Henan, China
4 Beijing Advanced Innovation Center for Big Data-Based Precision Medicine, School of Medicine and Engineering, Beihang University, 100191, Beijing, China
5 Department of Physics, Kyushu University, 819-0395, Fukuoka, Japan
6 RIKEN Nishina Center, RIKEN, 351-0198, Wako, Japan
Accepted: 16 September 2020
Published online: 29 September 2020
Both unitary chiral theories and lattice QCD simulations show that the DK interaction is attractive and can form a bound state, namely, . Assuming the validity of the heavy antiquark–diquark symmetry, the interaction is the same as the DK interaction, which implies the existence of a bound state with a binding energy of MeV. In this work, we study whether a three-body system binds. The interaction is described by exchanging , , , and mesons, with the corresponding couplings related to those of the NN interaction via the quark model. We indeed find a bound state, with quantum numbers , , and , and a binding energy of 80–118 MeV. With the same formalism, we find that the system also binds, yielding a state and a state with binding energies of 56–68 MeV and 56–67 MeV respectively. As a byproduct, we show the existence of a state with a binding energy of 35–43 MeV, consistent with the results of other theoretical works and experimental data, which serves as a consistency check on the predicted bound state.
© The Author(s) 2020
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