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The Search for Beauty-fully Bound Tetraquarks Using Lattice Non-Relativistic QCD

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arxiv 1710.03236 v2 pith:NTZUDQDI submitted 2017-10-09 hep-lat hep-exhep-ph

Ciaran Hughes , Estia Eichten , Christine T. H. Davies This is my paper · ORCID
classification hep-lathep-exhep-ph
keywords boundlatticetetraquarkbelowchannelslowestmultiplenon-interacting
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Motivated by multiple phenomenological considerations, we perform the first search for the existence of a $\bar{b}\bar{b}bb$ tetraquark bound state with a mass below the lowest non-interacting bottomonium-pair threshold using the first-principles lattice non-relativistic QCD methodology. We use a full $S$-wave colour/spin basis for the $\bar{b}\bar{b}bb$ operators in the three $0^{++}$, $1^{+-}$ and $2^{++}$ channels. We employ four gluon field ensembles at multiple lattice spacing values ranging from $a = 0.06 - 0.12$ fm, all of which include $u$, $d$, $s$ and $c$ quarks in the sea, and one ensemble which has physical light-quark masses. Additionally, we perform novel exploratory work with the objective of highlighting any signal of a near threshold tetraquark, if it existed, by adding an auxiliary potential into the QCD interactions. With our results we find no evidence of a QCD bound tetraquark below the lowest non-interacting thresholds in the channels studied.

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Forward citations

Cited by 4 Pith papers

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

  1. Light quark fragmentation into S-wave fully charmed tetraquark

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Light quark fragmentation into S-wave fully-charmed tetraquarks is computed at leading order in NRQCD, giving production rates between the gluon and charm channels at the LHC and EIC.

  2. Lattice calculation of the $\eta_c\eta_c$ and $J/\psi J/\psi$ s-wave scattering length

    hep-lat 2024-11 conditional novelty 6.0 of 10

    A continuum-extrapolated lattice calculation gives a^{0+}_{eta_c eta_c} = -0.104(09) fm and a^{2+}_{J/psi J/psi} = -0.165(16) fm, indicating repulsive interactions.

  3. Symmetry Analysis of Compact Tetraquark States and Implications for the Fully Charmed Candidates $X(6600)$, $X(6900)$, and $X(7100)$

    hep-ph 2026-07 unverdicted novelty 5.0 of 10

    Symmetry analysis of compact tetraquarks shows low-energy states favor J^P=2+ and places X(6600), X(6900), X(7100) among the lower levels of the fully charmed spectrum.

  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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