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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• Estimate for the X(3872) to gamma J/psi decay width
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• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• X(3872) and the bound state problem of $D^0{\bar{D}}^{\ast 0}$ (${\bar{D}}^0{D}^{\ast 0}$) in a chiral quark model
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• Production of X(3872) at PANDA
• The recoil correction and spin-orbit force for the possible $B^{\ast }{\bar{B}}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ states
• X(3872) as a molecular $D{\bar{D}}^{\ast }$ state in the Bethe-Salpeter equation approach
• Analysis of the $X(3842)$ as a D-wave charmonium meson
• Decay properties of the $X(3872)$ through the Fierz rearrangement
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• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• Insights into the nature of the $X(3872)$ through B meson decays
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)