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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 D0∗ (D0∗) 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 D0D0∗ scattering length.

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