2016/07/20 by Raúl A. Briceño, Raul A. Briceno, Jo Dudek +3 · 11 citations
Physics and Astronomy · #Hadron #High-Energy Particle Collisions Research #Isoscalar #Lattice QCD #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Scattering #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevlett.118.022002
published as Phys. Rev. Lett. 118, 022002 (2017)
arxiv created 2016/07/20 · openalex created_date 2016/08/23 · openalex publication_date 2017/01/09 · arxiv updated 2017/01/18 · openalex updated_date 2026/08/05
We present for the first time a determination of the energy dependence of the isoscalar ππ elastic scattering phase shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed including all required quark propagation diagrams, and from these the discrete spectrum of states in the finite volume defined by the lattice boundary is extracted. From the volume dependence of the spectrum, we obtain the S-wave phase shift up to the KK[over ¯] threshold. Calculations are performed at two values of the u, d quark mass corresponding to mπ=236,391 MeV, and the resulting amplitudes are described in terms of a σ meson which evolves from a bound state below the ππ threshold at the heavier quark mass to a broad resonance at the lighter quark mass.