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Antistatic-antistatic $\bar Q \bar Q qq$ potentials for $u$, $d$ and $s$ light quarks from lattice QCD

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arxiv 2409.10786 v1 pith:T4IK22TR submitted 2024-09-16 hep-lat hep-ph

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

We report on our ongoing lattice QCD computation of antistatic-antistatic potentials in the presence of two light quarks using the CLS $N_f=2$ gauge configurations and the OpenQ*D codebase. We utilize a set of 16 creation operators, corresponding to 8 sectors characterized by angular momentum and parity quantum numbers for light quarks $qq = (ud - du) / \sqrt{2}$ (isospin $0$), $qq \in \{ uu , (ud + du) / \sqrt{2}, dd \}$ (isospin $1$) and $qq \in \{ us , ds \}$ (isospin $1/2$ and strangeness $-1$). We improve on previous work by considering a large number of off-axis separations of the static antiquarks and by using tree-level improvement. The resulting potentials provide vague indication for one-pion exchange at $\bar Q \bar Q$ separations $r \gtrapprox$ 0.5 fm.

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  1. $\bar{b}\bar{b}ud$ 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.

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