Abstract
We determine the contribution of long-range pion interactions to the X(3872) dynamics, assuming it is a loosely bound D0D¯⁎0 molecule. Our result is based on the distorted wave Born approximation in non-relativistic quantum mechanics. Despite their long-range nature, we find that pion interactions cannot produce a large and negative effective range. Nonetheless, they introduce imaginary parts. In particular, they contribute to the total decay width of the X(3872) a term associated with, but not precisely corresponding to, the D⁎ width. Our approach can also be applied to the recently discovered Tcc+ state.
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