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

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

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

Abstract

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.

Description

Keywords

Hadron Spectrum Collaboration

Journal Title

Phys Rev Lett

Conference Name

Journal ISSN

0031-9007
1079-7114

Volume Title

Publisher

American Physical Society (APS)
Sponsorship
STFC (ST/T000694/1)
Science and Technology Facilities Council (ST/H008861/1)
Science and Technology Facilities Council (ST/K001590/1)
Science and Technology Facilities Council (ST/K00333X/1)
Engineering and Physical Sciences Research Council (EP/P020259/1)
Science and Technology Facilities Council (ST/R002452/1)
Science and Technology Facilities Council (ST/R00689X/1)