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Scalar and tensor charmonium resonances in coupled-channel scattering from QCD

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

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

Abstract

We determine JPC=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 mπ≈391 MeV, more than 200 finite-volume energy levels are computed and these are used in extensions of the L"uscher formalism to determine infinite-volume coupled-channel scattering amplitudes. We find that this energy region contains a single χc0 and a single χc2 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 DD¯ 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 χc0, no other scalar bound-states or near-DD¯ threshold resonances are found, in contrast to several theoretical and experimental studies.

Description

Keywords

hep-lat, hep-lat, hep-ph

Journal Title

Physical Review Letters

Conference Name

Journal ISSN

0031-9007
1079-7114

Volume Title

Publisher

American Physical Society
Sponsorship
STFC (ST/T000694/1)