Exploring possibly existing $qq\bar{b}\bar{b}$ tetraquark states with $qq=ud,ss,cc$

Abstract

We compute potentials of two static antiquarks in the presence of two quarks $qq$ of finite mass using lattice QCD. In a second step we solve the Schrödinger equation, to determine, whether the resulting potentials are sufficiently attractive to host a bound state, which would indicate the existence of a stable $qq\bar{b}\bar{b}$ tetraquark. We find a bound state for $qq=(ud-du)/\sqrt{2}$ with corresponding quantum numbers $I(J^P)=0(1^{+})$ and evidence against the existence of bound states with isospin $I=1$ or $qq\in \{cc,ss\}$

Comments: 7 pages, 3 figures, presented at the 33rd International Symposium on Lattice Field Theory, 14 -18 July 2015, Kobe International Conference Center, Kobe, Japan