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arXiv · 1307.5172

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

Sasa Prelovsek·Luka Leskovec
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Abstract

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 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 D D* and J/psi omega, which inevitably have to be present in dynamical QCD. We extract large and negative DD* scattering length a_0=-1.7 +/- 0.4 fm and the effective range r_0=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 m_u=m_d.

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Sasa Prelovsek, Luka Leskovec. 2013-10-16. Evidence for X(3872) from DD* scattering on the lattice. https://doi.org/10.1103/physrevlett.111.192001

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