Charmonium χ_c0 and χ_c2 resonances in coupled-channel scattering from lattice QCD
arXiv (Cornell University)(2023)
Abstract
In order to explore the spectrum of hidden-charm scalar and tensor
resonances, we study meson-meson scattering with J^PC=0^++, 2^++ in the
charmonium energy region using lattice QCD. Employing a light-quark mass
corresponding to m_π≈ 391 MeV, we determine coupled-channel
scattering amplitudes up to around 4100 MeV considering all kinematically
relevant channels consisting of a pair of open-charm mesons or a charmonium
meson with a light meson. A single isolated scalar resonance near 4000 MeV is
found with large couplings to DD̅, D_s D̅_s and the kinematically
closed D^* D̅^* channel. A single tensor resonance at a similar mass
couples strongly to DD̅, DD̅^* and D^* D̅^*. We compare
the extracted resonances to contemporary experimental candidate states,
previous lattice results and theoretical modeling. In contrast to several other
studies, we do not find any significant feature in the scalar amplitudes
between the ground state χ_c0(1P) and the resonance found around 4000
MeV.
MoreTranslated text
Key words
lattice qcd,resonances,coupled-channel
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