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arxiv: 1508.00343 · v1 · pith:62NCXHMDnew · submitted 2015-08-03 · ✦ hep-lat · hep-ph

Exploring possibly existing q q bar b bar b tetraquark states with q q = ud, ss, cc

classification ✦ hep-lat hep-ph
keywords boundexistencepotentialsstatestatestetraquarkantiquarksattractive
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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 Schr\"odinger equation, to determine, whether the resulting potentials are sufficiently attractive to host a bound state, which would indicate the existence of a stable $q q \bar b \bar b$ 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 $qq \in \{cc,ss \}$

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