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We refine our previous study of a $u d \bar{b} \bar{b}$ tetraquark resonancewith quantum numbers $I(J^{P})=0(1^{-})$, which is based on antiheavy-antiheavylattice QCD potentials, by including heavy quark spin effects via the massdifference of the $B$ and the $B^{*}$ meson. This leads to a coupled channelSchr\"odinger equation, where the two channels correspond to $BB$ and$B^{*}B^{*}$, respectively. We search for $\mbox{T}$ matrix poles in thecomplex energy plane, but do not find any indication for the existence of atetraquark resonance in this refined coupled channel approach. We also vary theantiheavy-antiheavy potentials as well as the $b$ quark mass to furtherunderstand the dynamics of this four-quark system.

Inclusion of heavy spin effects in the $u d \bar{b} \bar{b}$ $I(J^{P})=0(1^{-})$ four-quark channel in the Born-Oppenheimer approximation