X(3872) in lattice QCD with exact chiral symmetry

Details X(3872) in lattice QCD with exact chiral symmetry X(3872) in lattice QCD with exact chiral symmetry

2006-03-24

arxiv.org/abs/hep-ph/0603207v2

Phys.Lett.B646:95-99,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.physletb.2007.01.019

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 $ \{(\qbar\gamma_i\c)(\cbar\gamma_5\q)- (\cbar\gamma_i\q)(\qbar\gamma_5\c) \} $ and the diquark-antidiquark operator $ \{(\q^T C \gi \c)(\qbar C \gamma_5 \cbar^T)-(\qbar C \gi^T \cbar^T)(\q^T C \gamma_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.

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