X(3872) in lattice QCD with exact chiral symmetry

Abstract

We investigate the mass spectrum of $1^{++}$ exotic mesons with quark content $ (\c\q\cbar\qbar) $, using molecular and diquark-antidiquark operators, in quenched lattice QCD with exact chiral symmetry. For the molecular operator $ \{(\qbarγ_i\c)(\cbarγ_5\q)- (\cbarγ_i\q)(\qbarγ_5\c) \} $ and the diquark-antidiquark operator $ \{(\q^T C \gi \c)(\qbar C γ_5 \cbar^T)-(\qbar C \gi^T \cbar^T)(\q^T C γ_5 \c) \} $, both detect a resonance with mass around $3890\pm 30$ MeV in the limit $m_q\to m_u$, which is naturally identified with $X(3872)$. Further, heavier exotic meson resonance with $J^{PC}=1^{++}$ is also detected, with quark content $ (\c\s\cbar\sbar) $ around $4100\pm 50$ MeV.

11 pages, 6 figures, v2: eq.(6) has been corrected, 4-charm operators are omitted, and references are updated

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