https://doi.org/10.1140/epjc/s10052-020-08483-w
Regular Article – Theoretical Physics
Quadruply charmed dibaryons as heavy quark symmetry partners of the DDK bound state
1
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
Received:
4
June
2020
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
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
