Abstract
We study the three-body systems of $\bar{K}^{(*)}B^{(*)}\bar{B}^{(*)}$ by solving the Faddeev equations in the fixed-center approximation, where the light particle $\bar{K}^{(*)}$ interacts with the heavy bound states of $B\bar{B}$ ($B^*\bar{B}^*$) forming the clusters. In terms of the very attractive $\bar{K}^*B$ and $\bar{K}^*B^*$ subsystems, which are constrained by the observed $B_{s1}(5830)$ and $B_{s2}^*(5840)$ 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 $\bar{K}^*B\bar{B}$ and $\bar{K}^*B^*\bar{B}^*$ 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 $\bar{K}B^{(*)}$ and $\bar{K}\bar{B}^{(*)}$ via the hidden gauge symmetry in the heavy-quark sector, we also find two three-body $\bar{K}B\bar{B}$ and $\bar{K}B^{*}\bar{B}^*$ bound states.
Highlights
With the development of experiments, a large number of hadronic states have been reported [1], which provides an ideal playground to deepen our understanding of the nonperturbative quantum chromodynamics (QCD)
We study the three-body systems of KðÃÞBðÃÞBðÃÞ by solving the Faddeev equations in the fixed-center approximation, where the light particle KðÃÞ interacts with the heavy bound states of BB (BÃB Ã) forming the clusters
In terms of the very attractive K ÃB and K ÃBÃ subsystems, which are constrained by the observed Bs1ð5830Þ and BÃs2ð5840Þ states in experiment, we find two deep bound states, containing the hiddenbottom components, with masses 11002 Æ 63 MeV and 11078 Æ 57 MeV in the K ÃBBand K ÃBÃB Ã systems, respectively
Summary
With the development of experiments, a large number of hadronic states have been reported [1], which provides an ideal playground to deepen our understanding of the nonperturbative quantum chromodynamics (QCD). A different approach to solve the Faddeev equations was proposed to study the three-hadron systems [34,35,36], which relies on the on-shell two-body scattering amplitudes. Another approximation of the Faddeev equations, which is the so-called fixed-center approximation (FCA), has been employed in the studies of Kd interaction at low energies [37,38,39,40]. [27] to the bottom sector to investigate the possible bound states from the KðÃÞBðÃÞBðÃÞ systems with isospin I 1⁄4 1=2 using the fixed-center approximation of the Faddeev equations.
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