Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8188578 | Physics Letters B | 2013 | 7 Pages |
Abstract
We explore the quark-mass dependence of the pole position of the X(3872) state within the molecular picture. The calculations are performed within the framework of a nonrelativistic Faddeev-type three-body equation for the DDÂ¯Ï system in the JPC=1++ channel. The ÏD interaction is parametrised via a Dâ pole, and a three-body force is included to render the equations well defined. Its strength is adjusted such that the X(3872) appears as a DD¯â bound state 0.5 MeV below the neutral threshold. 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 future lattice QCD calculations. At the same time we are able to provide nontrivial information on the chiral extrapolation in the X channel.
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Authors
V. Baru, E. Epelbaum, A.A. Filin, C. Hanhart, U.-G. MeiÃner, A.V. Nefediev,