Physical Review D
054513 (24 pages)
We present the first lattice QCD study of coupled isoscalar ππ;K ¯K; ηη S- and D-wave scattering extracted from discrete finite-volume spectra computed on lattices which have a value of the light quark mass corresponding to mπ ∼ 391 MeV. In the JP = 0+ sector we find analogues of the experimental σ and f0 (980) states, where the σ appears as a stable bound-state below ππ threshold, and, similar to what is seen in experiment, the f0 (980) manifests itself as a dip in the ππ cross section in the vicinity of the K ¯K threshold. For JP = 2+ we find two states resembling the f2 (1270) and f"2 (1525) observed as narrow peaks, with the lighter state dominantly decaying to ππ and the heavier state to K ¯K. The presence of all these states is determined rigorously by finding the pole singularity content of scattering amplitudes, and their couplings to decay channels are established using the residues of the poles.
Original Publication Citation
Briceño, R. A., Dudek, J. J., Edwards, R. G., & Wilson, D. J. (2018). Isoscalar ππ, kk, ηη scattering and the σ, f0, f2 mesons from QCD. Physical Review D, 97(5), 054513. doi:10.1103/PhysRevD.97.054513
Briceño, Raul A.; Dudek, Jozef J.; Edwards, Robert G.; and Wilson, David J., "Isoscalar ππ; KK; ηη Scattering and the σ; f0; f2 Mesons from QCD" (2018). Physics Faculty Publications. 162.