Triple-charm molecular states composed of $D^*D^*D$ and $D^*D^*D^*$
Abstract: Inspired by the newly observed T + cc state, we systematically investigate the S -wave triple-charm molecular states composed of
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Cited by 3 publications
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The three pentaquark states, $$P_c(4312)$$ P c ( 4312 ) , $$P_c(4440)$$ P c ( 4440 ) and $$P_c(4457)$$ P c ( 4457 ) , discovered by the LHCb Collaboration in 2019, can be arranged into a complete heavy quark spin symmetry multiplet of hadronic molecules of $$\bar{D}^{(*)}\Sigma _{c}^{(*)}$$ D ¯ ( ∗ ) Σ c ( ∗ ) . In the heavy quark mass limit, the $$\Sigma _{c}^{(*)}$$ Σ c ( ∗ ) baryons can be related to the doubly charmed tetraquark states of isospin 1, i.e., $$T_{\bar{c}\bar{c}}^{(*)}$$ T c ¯ c ¯ ( ∗ ) ( $$T_{\bar{c}\bar{c}}^{0}$$ T c ¯ c ¯ 0 , $$T_{\bar{c}\bar{c}}^{1}$$ T c ¯ c ¯ 1 , $$T_{\bar{c}\bar{c}}^{2}$$ T c ¯ c ¯ 2 ), via heavy antiquark diquark symmetry, which dictates that the $$\bar{D}^{(*)}\Sigma _{c}^{(*)}$$ D ¯ ( ∗ ) Σ c ( ∗ ) interactions are the same as the $$\bar{D}^{(*)}T_{\bar{c}\bar{c}}^{(*)}$$ D ¯ ( ∗ ) T c ¯ c ¯ ( ∗ ) interactions up to heavy antiquark diquark symmetry breakings. In this work, we employ the contact-range effective field theory to systematically study the $$\bar{D}^{(*)}T_{\bar{c}\bar{c}}^{(*)}$$ D ¯ ( ∗ ) T c ¯ c ¯ ( ∗ ) systems, and we show the existence of a complete heavy quark spin symmetry multiplet of hadronic molecules composed of a doubly charmed tetraquark state and a charmed meson. These are a new kind of hadronic molecules and, if discovered, can lead to a better understanding of the many exotic hadrons discovered so far. In addition, we summarise the triply charmed hexaquark states formed by different combinations of hadrons. In particular, we show that $$\bar{\Omega }_{ccc}{p}$$ Ω ¯ ccc p system can bind by the Coulomb force, which is analogous to a hydrogenlike atom.
The three pentaquark states, $$P_c(4312)$$ P c ( 4312 ) , $$P_c(4440)$$ P c ( 4440 ) and $$P_c(4457)$$ P c ( 4457 ) , discovered by the LHCb Collaboration in 2019, can be arranged into a complete heavy quark spin symmetry multiplet of hadronic molecules of $$\bar{D}^{(*)}\Sigma _{c}^{(*)}$$ D ¯ ( ∗ ) Σ c ( ∗ ) . In the heavy quark mass limit, the $$\Sigma _{c}^{(*)}$$ Σ c ( ∗ ) baryons can be related to the doubly charmed tetraquark states of isospin 1, i.e., $$T_{\bar{c}\bar{c}}^{(*)}$$ T c ¯ c ¯ ( ∗ ) ( $$T_{\bar{c}\bar{c}}^{0}$$ T c ¯ c ¯ 0 , $$T_{\bar{c}\bar{c}}^{1}$$ T c ¯ c ¯ 1 , $$T_{\bar{c}\bar{c}}^{2}$$ T c ¯ c ¯ 2 ), via heavy antiquark diquark symmetry, which dictates that the $$\bar{D}^{(*)}\Sigma _{c}^{(*)}$$ D ¯ ( ∗ ) Σ c ( ∗ ) interactions are the same as the $$\bar{D}^{(*)}T_{\bar{c}\bar{c}}^{(*)}$$ D ¯ ( ∗ ) T c ¯ c ¯ ( ∗ ) interactions up to heavy antiquark diquark symmetry breakings. In this work, we employ the contact-range effective field theory to systematically study the $$\bar{D}^{(*)}T_{\bar{c}\bar{c}}^{(*)}$$ D ¯ ( ∗ ) T c ¯ c ¯ ( ∗ ) systems, and we show the existence of a complete heavy quark spin symmetry multiplet of hadronic molecules composed of a doubly charmed tetraquark state and a charmed meson. These are a new kind of hadronic molecules and, if discovered, can lead to a better understanding of the many exotic hadrons discovered so far. In addition, we summarise the triply charmed hexaquark states formed by different combinations of hadrons. In particular, we show that $$\bar{\Omega }_{ccc}{p}$$ Ω ¯ ccc p system can bind by the Coulomb force, which is analogous to a hydrogenlike atom.
Inspired by the experimental discoveries of T cc , Σ c (2800), and Λ 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) and 1 2 ( 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.
The three-body ηK * K * , πK * K * and KK * K * systems are investigated within the framework of fixedcenter approximation to the Faddeev equations, where K * K * is treated as the scalar meson f0(1710). The interactions between π, η, K and K * are taking from the chiral unitary approach. By scattering the η meson on the clusterized (K * K * ) f 0 (1710) system, we find a peak in the modulus squared of the three-body scattering amplitude and it can be associated as a bound state with quantum numbers I G (J P C ) = 0 + (0 −+ ). Its mass and width are around 2054 MeV and 60 MeV, respectively. This state could be associated to the η(2100) meson. For the π(K * K * ) f 0 (1710) scattering, we find a bump structure around 1900-2000 MeV with quantum numbers 1 − (0 −+ ). While for the K(K * K * ) f 0 (1710) system, there are three structures. One of them is much stable and its mass is about 2130 MeV. It is expected that these theoretical predictions here could be tested by future experimental measurements, such as by the BESIII, BelleII and LHCb collaborations.
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