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- Title
Quadruply charmed dibaryons as heavy quark symmetry partners of the DDK bound state.
- Authors
Wu, Tian-Wei; Liu, Ming-Zhu; Geng, Li-Sheng; Hiyama, Emiko; Valderrama, Manuel Pavon; Wang, Wen-Ling
- Abstract
Both unitary chiral theories and lattice QCD simulations show that the DK interaction is attractive and can form a bound state, namely, D s 0 ∗ (2317) . Assuming the validity of the heavy antiquark–diquark symmetry, the Ξ cc K ¯ interaction is the same as the DK interaction, which implies the existence of a Ξ cc K ¯ bound state with a binding energy of 49 - 64 MeV. In this work, we study whether a Ξ cc Ξ cc K ¯ three-body system binds. The Ξ cc Ξ cc interaction is described by exchanging π , σ , ρ , and ω mesons, with the corresponding couplings related to those of the NN interaction via the quark model. We indeed find a Ξ cc Ξ cc K ¯ bound state, with quantum numbers J P = 0 - , I = 1 2 , S = 1 and C = 4 , and a binding energy of 80–118 MeV. With the same formalism, we find that the Ξ cc Ξ ¯ cc K ¯ system also binds, yielding a I (J P) = 1 2 (0 +) state and a 1 2 (1 +) state with binding energies of 56–68 MeV and 56–67 MeV respectively. As a byproduct, we show the existence of a N N K ¯ 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 Ξ cc Ξ cc K ¯ bound state.
- Subjects
BINDING energy; BOUND states; QUANTUM numbers; QUARKS; LATTICE theory; QUARK models
- Publication
European Physical Journal C -- Particles & Fields, 2020, Vol 80, Issue 9, pN.PAG
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-020-08483-w