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We investigate four-quark systems consisting of two heavy anti-bottom quarks and two light up/down quarks. We propose to solve a coupled Schr\"odinger equation for the anti-bottom-anti-bottom separation using potentials computed via lattice QCD in the limit of static anti-bottom quarks. This coupled Schr\"odinger equation allows to incorporate effects due to the heavy anti-bottom spins. First exploratory numerical tests are discussed.

Refined Lattice/Model Investigation of $u d \bar {b} \bar {b}$ Tetraquark Candidates with Heavy Spin Effects Taken into Account