Evidence for X(3872) from DD* scattering on the lattice
Prelovsek, Sasa · Leskovec, Luka
Original · EN
A candidate for the charmonium(like) state X(3872) is found 11 +/- 7 MeV below the DD* threshold using dynamical Nf=2 lattice simulation with JᵖC=1++ and I=0. This is the first lattice simulation that establishes a candidate for X(3872) in addition to the nearby scattering states D D* and J/psi omega, which inevitably have to be present in dynamical QCD. We extract large and negative DD* scattering length a₀=-1.7 +/- 0.4 fm and the effective range r₀=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 D D* and J/psi rho 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 mᵤ=md.
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