Tri-meson bound state $BB{B}^{\ast }$ via delocalized $\pi$~Bond

Abstract

During the last decades, numerous exotic states which cannot be explained by the conventional quark model have been observed in experiment. Some of them can be understood as two-body hadronic molecules, such as the famous $X(3872)$, analogous to deuteron in nuclear physics. Along the same line, the existence of the triton leaves an open question whether there is a bound state formed by three hadrons. Since, for a given potential, a system with large reduced masses is more easier to form a bound state, we study the $BB{B}^{\ast }$ system with the one-pion exchange potential as an exploratory step by solving the three-body Schrödinger Equation. We predict that a tri-meson molecular state for the $BB{B}^{\ast }$ system is probably existent as long as the molecular states of its two-body subsystem $B{B}^{\ast }$ exist.

arXiv comment20 pages, 20 figures

References in corpus (56)

• Heavy quarkonium: progress, puzzles, and opportunities
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Heavy-Quark QCD Exotica
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• A review of the open charm and open bottom systems
• Baryon spectroscopy
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
• Strange dibaryon resonance in the anti-KNN--piYN system
• Born-Oppenheimer Approximation for the XYZ Mesons
• Nucleon mass from a covariant three-quark Faddeev equation
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Weak decays of heavy hadrons into dynamically generated resonances
• On unifying the description of meson and baryon properties
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Three-body calculation of the Delta-Delta dibaryon candidate D(03) at 2.37 GeV
• Resonance energy of the barKNN-piYN system
• A New Hadron Spectroscopy
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• The Y(4260) as a $J/\psi K\bar{K}$ system
• A description of the f2(1270), rho3(1690), f4(2050), rho5(2350) and f6(2510) resonances as multi-rho(770) states
• The Spin-orbit force, recoil corrections and possible $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ molecular states
• Delta and Omega masses in a three-quark covariant Faddeev approach
• Effective Theory of 3H and 3He
• Nucleon Solution of the Faddeev Equation in the Nambu-Jona-Lasinio Model
• Limits to the Fixed Center Approximation to Faddeev equations: the case of the $\varphi (2170)$
• Faddeev fixed-center approximation to the $N\bar{K}K$ system and the signature of a $N^{\ast }(1920)(1/2^{+})$ state
• $K^{\ast }$ mesons with hidden charm arising from $KX(3872)$ and $K{Z}_c(3900)$ dynamics
• Theoretical study of the $KK\bar{K}$ system and dynamical generation of the K(1460) resonance
• Three-particle bound states in a finite volume: unequal masses and higher partial waves
• 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
• $NDK$, $\bar{K}DN$ and $ND\bar{D}$ molecules
• A new perspective on the Faddeev equations and the $\bar{K}NN$ system from chiral dynamics and unitarity in coupled channels
• Plausible explanation of the ${\Delta }_{5/2^{+}}(2000)$ puzzle
• Improved Fixed Center Approximation of the Faddeev equations for the $\bar{K}NN$ system with S=0
• Theoretical support for the $\pi (1300)$ and the recently claimed $f_0(1790)$ as molecular resonances
• Double heavy tri-hadron bound state via delocalized $\pi$ bond
• Study of the $DKK$ and $DK\bar{K}$ systems
• Super Efimov effect for mass-imbalanced systems
• On the binding of the $BD\bar{D}$ and $BDD$ systems
• $\Omega NN$ and $\Omega \Omega N$ states
• A New Approach to the 3D Faddeev Equation for Three-Body Scattering
• Threshold Effects and the Line Shape of the X(3872) in Effective Field Theory
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• Solving Three-Cluster OCM Equations in the Faddeev Formalism
• Low Energy Proton-Deuteron Scattering with a Coulomb-Modified Faddeev Equation
• Three-quark confinement potential from the Faddeev equation
• $T_{bbb}$: a three $B-$meson bound state

Cited by in corpus (7)

• Few-body systems consisting of mesons
• Triple-charm molecular states composed of $D^{\ast }{D}^{\ast }D$ and $D^{\ast }{D}^{\ast }{D}^{\ast }$
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Hidden and open heavy-flavor hadronic states
• Finding Interaction Mechanism between Exotic Molecule and Conventional Hadron
• Exotic Heavy Hadrons
• Tri-meson state $\bar{\mathbf{B}}{\bar{\mathbf{B}}}^{\ast }{\bar{\mathbf{B}}}^{\ast }$