Width of exotics from QCD sum rules : Tetraquarks or molecules?

We investigate the widths of the recently observed charmonium like resonances $X(3872)$, $Z(4430)$, and ${Z}_{2}(4250)$ using QCD sum rules. Extending previous analyses regarding these states as diquark-antiquark states or molecules of $D$ mesons, we introduce the Breit-Wigner function in the pole term. We find that introducing the width increases the mass at the small Borel window region. Using the operator-product expansion up to dimension 8, we find that the sum rules based on interpolating current with molecular components give a stable Borel curve from which both the masses and widths of these resonances can be well obtained. Thus the QCD sum rule approach strongly favors the molecular description of these states.