Antiheavy-Antiheavy-Light-Light Four-Quark Bound States

Abstract

We present our recent results on antiheavy-antiheavy-light-light tetraquark systems using lattice QCD. Our study of the $\bar{b}\bar{b}us$ four-quark system with quantum numbers $J^P=1^{+}$ and the $\bar{b}\bar{c}ud$ four-quark systems with $I(J^P)=0(0^{+})$ and $I(J^P)=0(1^{+})$ utilizes scattering operators at the sink to improve the extraction of the low-lying energy levels. We found a bound state for $\bar{b}\bar{b}us$ with $E_{\text{bind},\bar{b}\bar{b}us}=(-86\pm 22\pm 10)\text{MeV}$, but no indication for a bound state in both $\bar{b}\bar{c}ud$ channels. Moreover, we show preliminary results for $\bar{b}\bar{b}ud$ with $I(J^P)=0(1^{+})$, where we used scattering operators both at the sink and the source. We found a bound state and determined its infinite-volume binding energy with a scattering analysis, resulting in $E_{\text{bind},\bar{b}\bar{b}ud}=(-103\pm 8)\text{MeV}$.

Comments: 9 pages, 3 figures, talk given at "The 39th International Symposium on Lattice Field Theory", 08th-13th August 2022, Bonn, Germany