$T_{bbb}$: a three $B-$meson bound state

Abstract

By solving exactly the Faddeev equations for the bound-state problem of three mesons, we demonstrate that current theoretical predictions pointing to the existence of a deeply-bound doubly bottom axial vector tetraquark lead to the existence of a unique bound state of three $B$ mesons. We find that the $B{B}^{\ast }{B}^{\ast }-B^{\ast }{B}^{\ast }{B}^{\ast }$ state with quantum numbers $(I)J^P=(1/2)2^{-}$, $T_{bbb}$, is about 90\,MeV below any possible three $B$-meson threshold for the reported binding of the doubly bottom axial vector tetraquark, $T_{bb}$.

11 pages, 2 figures, to appear in Phys. Lett. B

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Cited by in corpus (9)

• Pentaquark and Tetraquark states
• Few-body systems consisting of mesons
• Sum rules for $CP$ asymmetries of charmed baryon decays in the $SU(3{)}_F$ limit
• Triple-charm molecular states composed of $D^{\ast }{D}^{\ast }D$ and $D^{\ast }{D}^{\ast }{D}^{\ast }$
• Tri-meson bound state $BB{B}^{\ast }$ via delocalized $\pi$~Bond
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• Hidden and open heavy-flavor hadronic states
• Exotic Heavy Hadrons
• Tri-meson state $\bar{\mathbf{B}}{\bar{\mathbf{B}}}^{\ast }{\bar{\mathbf{B}}}^{\ast }$