Including heavy spin effects in the prediction of a $\bar{b}\bar{b}ud$ tetraquark with lattice QCD potentials

Abstract

We investigate spin effects in four-quark systems consisting of two heavy anti-bottom quarks and two light up/down quarks. To this end we use the Born-Oppenheimer approximation. We utilize potentials of two static antiquarks in the presence of two quarks of finite mass computed via lattice QCD and solve a coupled-channel Schrödinger equation for the anti-bottom-anti-bottom separation. Without taking heavy quark spins into account this approach predicted a $ud\bar{b}\bar{b}$ tetraquark bound state with quantum numbers $I(J^P)=0(1^{+})$. We now extend this Born-Oppenheimer approach with coupled channel Schrödinger equations allowing us to incorporate effects due to the heavy $\bar{b}$ spins. We confirm the existence of the $ud\bar{b}\bar{b}$ tetraquark.

9 pages, 4 figures, 1 table

References in corpus (11)

• Big-Bang Nucleosynthesis
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• Observation of a new charged charmoniumlike state in B -> J/psi K pi decays
• Nonperturbative determination of the QCD potential at O(1/m)
• Spin-dependent potentials from lattice QCD
• Stability of multiquarks in a simple string model
• Study of the $Z_c^{+}$ channel using lattice QCD
• The static-light meson spectrum from twisted mass lattice QCD
• Doubly heavy hadrons and the domain of validity of doubly heavy diquark--anti-quark symmetry
• Microscopic calculation of the decay of Jaffe-Wilczek tetraquarks, and the Z(4433)
• Refined lattice/model investigation of $ud\bar{b}\bar{b}$ tetraquark candidates with heavy spin effects taken into account

Cited by in corpus (10)

• Pentaquark and Tetraquark states
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
• Stability of tetrons
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Bottomonium resonances with $I=0$ from lattice QCD correlation functions with static and light quarks
• Tetraquark and two-meson states at large $N_{\mathrm{c}}$
• Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry Analysis
• Investigation of Doubly Heavy Tetraquark Systems using Lattice QCD