$\bar{b}\bar{b}ud$ 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

Jakob Hoffmann; Lasse MÃ¼ller; Marc Wagner

paper

$b ˉ b ˉ u d$ Tetraquarks with $I (J^{P}) = 0 (1^{-})$ and $b ˉ c ˉ u d$ Tetraquarks with $I (J^{P}) = 0 (0^{+})$ and $I (J^{P}) = 0 (1^{+})$ from Lattice QCD Antistatic-Antistatic Potentials

arXiv:2501.16188

Abstract

We study heavy spin effects in $b ˉ b ˉ u d$ and $b ˉ c ˉ u d$ four-quark systems using the Born-Oppenheimer approximation and existing antistatic-antistatic potentials computed with lattice QCD. We report about a recent refined investigation of the $b ˉ b ˉ u d$ system with $I (J^{P}) = 0 (1^{-})$ , where we predicted a tetraquark resonance slightly above the $B^{*} B^{*}$ threshold. Furthermore, we extend our Born-Oppenheimer approach to $b ˉ c ˉ u d$ four-quark systems. For quantum numbers $I (J^{P}) = 0 (0^{+})$ as well as $I (J^{P}) = 0 (1^{+})$ we find virtual bound states rather far away from the lowest meson-meson thresholds.

9 pages, 2 figures

bˉbˉud Tetraquarks with I(JP)=0(1−) and bˉcˉud Tetraquarks with I(JP)=0(0+) and I(JP)=0(1+) from Lattice QCD Antistatic-Antistatic Potentials

Abstract

$b ˉ b ˉ u d$ Tetraquarks with $I (J^{P}) = 0 (1^{-})$ and $b ˉ c ˉ u d$ Tetraquarks with $I (J^{P}) = 0 (0^{+})$ and $I (J^{P}) = 0 (1^{+})$ from Lattice QCD Antistatic-Antistatic Potentials