PoS(LATTICE 2015)095 Exploring possibly existing qq ¯ b ¯ b tetraquark states with qq = ud , ss, cc Antje Peters ∗ a , Pedro Bicudo b , Krzysztof Cichy a,c , Björn Wagenbach a , Marc Wagner a a Goethe-Universität Frankfurt am Main, Institut für Theoretische Physik, Max-von-Laue-Straße 1, D-60438 Frankfurt am Main, Germany b CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal c Adam Mickiewicz University, Faculty of Physics, Umultowska 85, 61-614 Poznan, Poland E-mail: peters@th.physik.uni-frankfurt.de, bicudo@tecnico.ulisboa.pt, kcichy@th.physik.uni-frankfurt.de, wagenbach@th.physik.uni-frankfurt.de, mwagner@th.physik.uni-frankfurt.de 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 ¯ b ¯ b tetraquark. We find a bound state for qq =(ud − du)/ √ 2 with corresponding quantum numbers I (J P )= 0(1 + ) and evidence against the existence of bound states with isospin I = 1 or qq ∈{cc, ss}. The 33rd International Symposium on Lattice Field Theory 14 -18 July 2015 Kobe International Conference Center, Kobe, Japan ∗ Speaker. c  Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). http://pos.sissa.it/