Double-charm and hidden-charm hexaquark states under the complex scaling method

Abstract

We investigate the double-charm and hidden-charm hexaquarks as molecules in the framework of the one-boson-exchange potential model. The multichannel coupling and $S-D$ wave mixing are taken into account carefully. We adopt the complex scaling method to investigate the possible quasibound states, whose widths are from the three-body decay channel ${\Lambda }_c{\Lambda }_c\pi$ or ${\Lambda }_c{\bar{\Lambda }}_c\pi$. For the double-charm system of $I(J^P)=1(1^{+})$, we obtain a quasibound state, whose width is 0.50 MeV if the binding energy is -14.27 MeV. And the $S$-wave ${\Lambda }_c{\Sigma }_c$ and ${\Lambda }_c{\Sigma }_c^{\ast }$ components give the dominant contributions. For the $1(0^{+})$ double-charm hexaquark system, we do not find any pole. We find more poles in the hidden-charm hexaquark system. We obtain one pole as a quasibound state in the $I^G(J^{PC})=1^{+}(0^{--})$ system, which only has one channel $({\Lambda }_c{\bar{\Sigma }}_c+{\Sigma }_c{\bar{\Lambda }}_c)/\sqrt{2}$. Its width is 1.72 MeV with a binding energy of -5.37 MeV. But, we do not find any pole for the scalar $1^{-}(0^{-+})$ system. For the vector $1^{-}(1^{-+})$ system, we find a quasibound state. Its energies, widths and constituents are very similar to those of the $1(1^{+})$ double-charm case. In the vector $1^{+}(1^{--})$ system, we get two poles -- a quasibound state and a resonance. The quasibound state has a width of 0.6 MeV with a binding energy of -15.37 MeV. For the resonance, its width is 2.72 MeV with an energy of 63.55 MeV relative to the ${\Lambda }_c{\bar{\Sigma }}_c$ threshold. And its partial width from the two-body decay channel $({\Lambda }_c{\bar{\Sigma }}_c-{\Sigma }_c{\bar{\Lambda }}_c)/\sqrt{2}$ is apparently larger than the partial width from the three-body decay channel ${\Lambda }_c{\bar{\Lambda }}_c\pi$.

References in corpus (21)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Evidence for a Bound H-dibaryon from Lattice QCD
• ABC Effect in Basic Double-Pionic Fusion --- Observation of a new resonance?
• A survey of heavy-heavy hadronic molecules
• Double-Pionic Fusion of Nuclear Systems and the ABCEffect -- Aproaching a Puzzle by Exclusive and Kinematically Complete Measurements
• Exotic tetraquark states with the $qq\bar{Q}\bar{Q}$ configuration
• Lambda-Lambda interaction from relativistic heavy-ion collisions
• Doubly-heavy tetraquarks
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Hadronic Molecular States Composed of Heavy Flavor Baryons
• Heavy molecules and one-$\sigma /\omega$-exchange model
• A Uniform Description of the States Recently Observed at B-factories
• Double-charm tetraquark under the complex scaling method
• Production of exotic tetraquarks $QQ\bar{q}\bar{q}$ in heavy-ion collisions at the LHC
• Hidden-bottom and -charm hexaquark states in QCD sum rules
• Strong decays of double-charmed pseudoscalar and scalar $cc\overline{u}\overline{d}$ tetraquarks
• Search for doubly-heavy dibaryons in a quark model
• Study of ${\Lambda }_c$${\Lambda }_c$ dibaryon and ${\Lambda }_c$${\bar{\Lambda }}_c$ baryonium states via QCD sum rules
• Doubly charmed multibaryon systems
• Where are the hidden-charm hexaquarks?
• Probing double hadron resonances by the complex scaling method

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• Probing exotic $J^{PC}$ resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
• Heavy Hexaquarks in the Flux Tube Model
• Prospects for compact hexaquarks under the limitation imposed by quark confinement