Münster 2017 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 28: Hadron Structure and Spectroscopy IV

HK 28.5: Talk

Wednesday, March 29, 2017, 18:00–18:15, F 5

Description of the X(3872) using a Galilean-invariant EFT — •Wael Elkamhawy, Maximilian Jansen, and Hans-Werner Hammer — Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany

The proximity of the D⁰D^*0 threshold to the mass of the X(3872) suggests the interpretation of the X(3872) as a hadronic molecule of neutral D^(*) mesons. In this molecular picture, the X(3872) is either a loosely bound state or a shallow resonance. The corresponding energy is small compared to the energy scale set by charged D^(*) mesons. Exploiting this separation of scales, we construct a low-energy effective field theory for neutral charm mesons and pions exhibiting exact Galilean invariance. We discuss the implications of exact Galilean invariance on the dynamics of the X(3872). This theory provides a systematically improvable description of the X(3872). It is used to calculate the scattering length to next-to-leading order. Moreover, the dependence of the pole energy on the light quark masses is derived. This dependence can be used to extrapolate, e.g., binding energies calculated on the lattice at unphysical light quark masses to the physical value.

* This work has been supported by the DFG through Grant SFB 1245.