We study the potential of X(3872) at finite temperature in the Born-Oppenheimer approximation
under the assumption that it is a tetraquark. We argue that, at large number of colors, it is a good
approximation to assume that the potential consists in a real part plus a constant imaginary term.
The real part is then computed adapting an approach by Rothkopf and Lafferty and using as input
lattice QCD determinations of the potential for hybrids. This model allows us to qualitatively
estimate at which temperature range the formation of a heavy tetraquark is possible, and to
propose a qualitative picture for the dissociation of the state in a medium. Our approach can be
applied to other suggested internal structures for the X(3872) and to other exotic states. This work
summarizes the results of [1].
