Scalar and Tensor Charmonium Resonances in Coupled-Channel Scattering from Lattice QCD

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

doi:10.1103/PhysRevLett.132.241901

Title: Scalar and Tensor Charmonium Resonances in Coupled-Channel Scattering from Lattice QCD

Journal Article · 10 June 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.132.241901 · OSTI ID:2371599

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We determine $J^{P C} = 0^{+ +}$ and $2^{+ +}$ hadron-hadron scattering amplitudes in the charmonium energy region up to 4100 MeV using lattice QCD, a first-principles approach to QCD. Working at $m_{π} \approx 391 MeV$ , more than 200 finite-volume energy levels are computed and these are used in extensions of the Lüscher formalism to determine infinite-volume coupled-channel scattering amplitudes. We find that this energy region contains a single $χ_{c 0}$ and a single $χ_{c 2}$ resonance. Both are found as pole singularities on the closest unphysical Riemann sheet, just below 4000 MeV with widths around 70 MeV. The largest couplings are to kinematically closed $D^{*} {\bar{D}}^{*}$ channels in $S$ -wave, and couplings to several decay channels consisting of pairs of open-charm mesons are found to be large and significant in both cases. Above the ground state $χ_{c 0}$ , no other scalar bound states or near- $D \bar{D}$ threshold resonances are found, in contrast to several theoretical and experimental studies. Published by the American Physical Society 2024

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Organization:: Hadron Spectrum Collaboration

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

OSTI ID:: 2371599

Report Number(s):: DOE/OR/23177--7519; JLAB-THY--24-4081; arXiv:2309.14070; 241901

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 24 Vol. 132; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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