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Fate of the Tetraquark Candidate Z_{c}(3900) from Lattice QCD
Yoichi Ikeda1,2, Sinya Aoki3,4, Takumi Doi2
1Research Center for Nuclear Physics (RCNP), Osaka University, Osaka 567-0047, Japan.
Abstract:
The possible exotic meson Z_{c}(3900), found in e^{+}e^{-} reactions, is studied by the method of coupled-channel scattering in lattice QCD. The interactions among πJ/ψ, ρη_{c}, and D[over ¯]D^{*} channels are derived from (2+1)-flavor QCD simulations at m_{π}=410-700 MeV. The interactions are dominated by the off-diagonal πJ/ψ-D[over ¯]D^{*} and ρη_{c}-D[over ¯]D^{*} couplings, which indicates that the Z_{c}(3900) is not a usual resonance but a threshold cusp. Semiphenomenological analyses with the coupled-channel interaction are also presented to confirm this conclusion.
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