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

• Published in: Physical review letters 2024-06, Vol.132 (24), p.241901, Article 241901
• Main Authors: Wilson, David J, Thomas, Christopher E, Dudek, Jozef J, Edwards, Robert G
• Format: Article
• Language: English
• Subjects: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
• ISSN: 0031-9007; 1079-7114; 1079-7114
• DOI: 10.1103/PhysRevLett.132.241901

We determine J^{PC}=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}≈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_{c0} and a single χ_{c2} 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^{*}D[over ¯]^{*} 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_{c0}, no other scalar bound states or near-DD[over ¯] threshold resonances are found, in contrast to several theoretical and experimental studies.