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BB interactions with static bottom quarks from Lattice QCD

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arxiv 1510.03441 v1 pith:ALMJUGTA submitted 2015-10-12 hep-lat hep-ph

classification hep-lathep-ph
keywords attractivepotentialsquarkschannelsstatebottomisospinlattice
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The isospin, spin and parity dependent potential of a pair of $B$ mesons is computed using Wilson twisted mass lattice QCD with two flavours of degenerate dynamical quarks. The $B$ meson is addressed in the static-light approximation, i.e.\ the $b$ quarks are infinitely heavy. From the results of the $B\,B$ meson-meson potentials, a simple rule can be deduced stating which isospin, spin and parity combinations correspond to attractive and which to repulsive forces. We provide fits to the ground state potentials in the attractive channels and discuss the potentials in the repulsive and excited channels. The attractive channels are most important since they can possibly lead to a bound four-quark state, i.e.\ a $\bar{b}\bar{b}ud$ tetraquark. Using these attractive potentials in the Schr\"odinger equation, we find indication for such a tetraquark state of two static bottom antiquarks and two light $u/d$ quarks with mass extrapolated down to the physical value.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Systematic Study of Coupled-Channel Dynamics in Doubly Heavy Hadronic Molecules

    hep-ph 2026-05 unverdicted novelty 7.0 of 10

    Explicit coupled-channel dynamics modifies pole structures and can eliminate or shift higher-lying states in doubly heavy systems, while single-channel models suffice only for near-threshold states like T_cc.

  2. $\bar{b}\bar{b}ud$ Tetraquarks with $I(J^P)=0(1^-)$ and $\bar{b}\bar{c}ud$ Tetraquarks with $I(J^P)=0(0^+)$ and $I(J^P)=0(1^+)$ from Lattice QCD Antistatic-Antistatic Potentials

    hep-lat 2025-01 conditional novelty 6.0 of 10

    Using Born-Oppenheimer potentials from lattice QCD, the authors predict a bbar-bbar-ud tetraquark resonance near B*B* and virtual bound states for bbar-c-ud tetraquarks.

  3. $\boldsymbol{\chi_{c1}}(3872)$ and its Partners in the Diabatic Born-Oppenheimer Approximation for QCD

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    χ_c1(3872) is treated as a bound state in adjoint-meson Born-Oppenheimer potentials within a diabatic model, with calculated spin splittings and decay widths for its multiplet and bottom analogs after tuning to threshold.

  4. Lattice perspectives on doubly heavy tetraquarks

    hep-lat 2025-02 accept novelty 1.0 of 10

    A review of lattice QCD results concludes that doubly heavy tetraquarks Tbb(ud/us) are firmly predicted as bound states, Tcc appears as a virtual state at nonphysical masses, and Tbc is under active study.

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