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

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 $r⪆$ 0.5 fm.

Comments: 9 pages, 4 figures, contribution as a parallel talk to the 41st Lattice Conference (Lattice 2024), July 28 - August 3, 2024. Liverpool, United Kingdom