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Evidence for X(3872) from DD* scattering on the lattice

Sasa Prelovsek¹, Luka Leskovec

¹Department of Physics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia and Jozef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia.

Physical Review Letters

|November 26, 2013

Abstract:

A candidate for the charmonium(like) state X(3872) is found 11±7 MeV below the DD* threshold using dynamical N(f)=2 lattice simulation with J(PC)=1(++) and I=0. This is the first lattice simulation that establishes a candidate for X(3872) in addition to the nearby scattering states DD* and J/ψω, which inevitably have to be present in dynamical QCD. We extract large and negative DD* scattering length a(0)(DD*)=-1.7±0.4 fm and the effective range r(0)(DD*)=0.5±0.1 fm, but their reliable determination will have to wait for a simulation on a larger volume. In I=1 channel, only the DD* and J/ψρ scattering states are found and no candidate for X(3872). This is in agreement with the interpretation that X(3872) is dominantly I=0, while its small I=1 component arises solely from the isospin breaking and is therefore absent in our simulation with m(u)=m(d).

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