Darmstadt 2016 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 39: Hadron Structure and Spectroscopy VII

HK 39.4: Talk

Wednesday, March 16, 2016, 17:30–17:45, S1/01 A5

The X(3872) as a D⁰D⁰π⁰ bound state — •Marcel Schmidt, Maximilian Jansen, and Hans-Werner Hammer — Institut für Kernphysik, TU Darmstadt, 64289 Darmstadt, Germany

Three-body physics may play a crucial role for the exotic charmonium state X(3872) which can be interpreted as a hadronic molecule. We propose a new effective field theory with D⁰, D⁰ and π⁰ fields, considering Galilean invariance to be an exact symmetry of the problem. Moreover, heavy D^0∗ (D^0∗) mesons implicitly enter as p-wave resonances in the D⁰π⁰ (D⁰π⁰) system. They are treated using dimeson auxiliary fields in the respective channels. In this talk, we first discuss the underlying Lagrangian. Afterwards, we construct the non-perturbative three-body amplitude for the X(3872) and elucidate its relation to the D⁰D^0∗ scattering length.