Heidelberg 2015 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
HK: Fachverband Physik der Hadronen und Kerne
HK 27: Hadron Structure and Spectroscopy 5
HK 27.6: Talk
Tuesday, March 24, 2015, 16:00–16:15, T/SR19
Light quark mass dependence and finite volume effects for the X(3872) in an effective field theory — •Maximilian Jansen1, Hans-Werner Hammer1,2, and Yu Jia3,4 — 1Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany — 2ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany — 3Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China — 4Theoretical Physics Center for Science Facilities, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China
The quark mass and volume dependence of hadrons are an important input for lattice calculations. We investigate the light quark mass dependence of the binding energy of the X(3872) and the D0D*0 scattering length in the C=+1 channel to next-to-leading order in an effective field theory for the X (XEFT) where pion interactions are perturbative. At this order, the quark mass dependence is determined by a quark mass-dependent contact interaction in addition to the one-pion exchange. Using naturalness arguments to constrain unknown parameters, we find a moderate sensitivity of the binding energy for quark masses up to twice the physical value while the scattering length is more sensitive. Recent simulations for the X are performed on lattices with spatial box lengths being small compared to the typical length scale of the D0D*0 system. Finite volume corrections are hence essential in order to make reliable predictions for observables of the X. We present our preliminary results for the shift of the the binding energy of the X in a finite volume.