Doubly Heavy Tetraquarks in the Born-Oppenheimer approximation

Abstract

Tetraquarks QQq*q* are found to be described remarkably well with the Quantum Chromodynamics version of the Hydrogen bond, as treated with the Born-Oppenheimer approximation. We show the robustness of the method by computing the mass of the observed Tcc tetraquark following two different paths. Relying on this, we provide a prediction for the mass of the expected Tbb particle. The average sizes of tetraquarks are estimated to be approximately 3 - 5 GeV**-1. As a consequence hyperfine separations are not expected to be sizeable. We discussed possible reasons why LHCb has observed only one state in the DD* spectrum.

8 pages, 1 figure. Corrections made. Improved draft. To appear in PLB

References in corpus (12)

• Observation of an exotic narrow doubly charmed tetraquark
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Cited by in corpus (13)

• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Doubly-Charged $T_{cc}^{++}$ States in the Dynamical Diquark Model
• Doubly charmed dibaryon states
• Tetraquarks in the Born-Oppenheimer approximation
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Model-independent predictions for decays of double-heavy hadrons into pairs of heavy hadrons
• A short review on the compositeness of the $X(3872)$
• The Pentaquark Spectrum from Fermi Statistics
• Investigation on the bottom analogs of the $T_{cc}^{+}$
• A Simple Model of Pentaquarks
• Prediction of an $I(J^P)=0(1^{-})$ $\bar{b}\bar{b}ud$ Tetraquark Resonance Close to the $B^{\ast }{B}^{\ast }$ Threshold Using Lattice QCD Potentials
• Lattice study of scattering phase shifts for $D{D}^{\ast }$ and $B{B}^{\ast }$ systems using twisted boundary conditions: Search for bound state formation
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions