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The role of the pion in the lineshape of the X(3872)

Angelo Esposito, Davide Germani, Alfredo Glioti, Antonio D. Polosa, Riccardo Rattazzi, Michele Tarquini

21/6/23 Published in : arXiv:2307.11400

We determine the contribution of long-range pion interactions to the X(3872) dynamics, assuming it is a loosely bound D^0 \bar{D}^{*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) with a term associated with, but not precisely corresponding to, the D^* width. Our approach can also be applied to the recently discovered T_{cc}^+ states.

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  • Holography and bulk-boundary correspondence

Softening the UV without New Particles

Perturbations of Cosmological Redshift Drift

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