Charmonium χ c 0 and χ c 2 resonances in coupled-channel scattering from lattice QCD

Wilson, David J.; Thomas, Christopher E.; Dudek, Jozef J.; Edwards, Robert G.

doi:10.1103/PhysRevD.109.114503

Charmonium $χ_{c 0}$ and $χ_{c 2}$ resonances in coupled-channel scattering from lattice QCD

Journal Article · Mon Jun 10 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.109.114503· OSTI ID:2396068

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In order to explore the spectrum of hidden-charm scalar and tensor resonances, we study meson-meson scattering with $J^{P C} = 0^{+ +}, 2^{+ +}$ in the charmonium energy region using lattice QCD. Employing a light-quark mass corresponding to $m_{π} \approx 391 MeV$ , 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 $D \bar{D}$ , $D_{s} {\bar{D}}_{s}$ and the kinematically closed $D^{*} {\bar{D}}^{*}$ channel. A single tensor resonance at a similar mass couples strongly to $D \bar{D}$ , $D {\bar{D}}^{*}$ and $D^{*} {\bar{D}}^{*}$ . 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 $χ_{c 0} (1 P)$ and the resonance found around 4000 MeV.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: SC0018416; AC05-06OR23177; AC05-00OR22725; AC02-05CH11231

OSTI ID:: 2396068

Alternate ID(s):: OSTI ID: 2371666

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 11 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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