Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems

Abstract

We study the three-body systems of ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ by solving the Faddeev equations in the fixed-center approximation, where the light particle ${\bar{K}}^{(\ast )}$ interacts with the heavy bound states of $B\bar{B}$ ($B^{\ast }{\bar{B}}^{\ast }$) forming the clusters. In terms of the very attractive ${\bar{K}}^{\ast }B$ and ${\bar{K}}^{\ast }{B}^{\ast }$ subsystems, which are constrained by the observed $B_{s1}(5830)$ and $B_{s2}^{\ast }(5840)$ states in experiment, we find two deep bound states, containing the hidden-bottom components, with masses $11002\pm 63$ MeV and $11078\pm 57$ MeV in the ${\bar{K}}^{\ast }B\bar{B}$ and ${\bar{K}}^{\ast }{B}^{\ast }{\bar{B}}^{\ast }$ systems, respectively. The two corresponding states with higher masses of the above systems are also predicted. In addition, using the constrained two-body amplitudes of $\bar{K}{B}^{(\ast )}$ and $\bar{K}{\bar{B}}^{(\ast )}$ via the hidden gauge symmetry in the heavy-quark sector, we also find two three-body $\bar{K}B\bar{B}$ and $\bar{K}{B}^{\ast }{\bar{B}}^{\ast }$ bound states.

Version to be published in Phys. Rev. D

References in corpus (20)

• Exotics: Heavy Pentaquarks and Tetraquarks
• Dynamically Generated Open and Hidden Charm Meson Systems
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Four-Quark Hadrons: an Updated Review
• Dynamically generated 1^+ heavy mesons
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Three body resonances in two meson-one baryon systems
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Study of $B{\bar{B}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ interactions in $I=1$ and relationship to the $Z_b(10610)$, $Z_b(10650)$ states
• The $\bar{K}NN$ system with chiral dynamics
• Molecular structure of the Bs0*(5725) and Bs1(5778) bottom-strange mesons
• Hidden-charm pentaquarks and their hidden-bottom and $B_c$-like partner states
• Hadronic molecules with both open charm and bottom
• On the nature of the K*2(1430), K*3(1780), K*4(2045), K*5(2380) and K*6 as K*--multi-rho states
• Plausible explanation of the ${\Delta }_{5/2^{+}}(2000)$ puzzle
• Study of the $DKK$ and $DK\bar{K}$ systems
• Faddeev fixed center approximation to $\pi \bar{K}{K}^{\ast }$ system and the ${\pi }_1(1600)$
• Looking for bound states and resonances in the ${\eta }^{\prime }K\bar{K}$ system

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• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
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• Three-body model for $K(1460)$ resonance
• The analysis of the excited bottom and bottom strange states $B_1(5721)$, $B_2^{\ast }(5747)$, $B_{s1}(5830)$, $B_{s2}^{\ast }(5840)$, $B_J(5840)$ and $B_J(5970)$ in B meson family
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole