Non-perturbative pion dynamics for the X(3872)
1 Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum Germany
2 Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
3 Forschungszentrum Jülich, Institute for Advanced Simulation, Institut für Kernphysik (Theorie) and Jülich Center for Hadron Physics, D-52425 Jülich, Germany
4 Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
5 National Research Nuclear University MEPhI, 115409, Moscow, Russia
6 Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Moscow Region, Russia
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Published online: 26 November 2014
We discuss the role of non-perturbative pion dynamics on the near-threshold resonant X(3872) charmonium state, which is assumed to be an S-wave DD̄* bound system. We calculate the contribution to the width of the X(3872) from the DD̄π intermediate state treated non-perturbatively and compare it with different approximate approaches. Further, we explore the quark-mass dependence of the pole position of the X(3872) state. We find that the trajectory of the X(3872) depends strongly on the assumed quark-mass dependence of the short-range interactions which can be determined in lattice QCD calculations.
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