We extract the P-wave ππ phase shift for five values of pion relative momenta, which gives information on the ρ resonance. The Breit-Wigner formula describes the ππ phase shift dependence nicely and we extract m ρ = 792(7)(8) MeV and the coupling g ρππ = 5.13(20) at our m π = 266 MeV. We extract the P-wave scattering length a ππ l=1 = 0.082(10)(3) fm 3 from the state with the lowest pion relative momenta. We also determine the S-wave ρπ phase shift for two values of relative momenta, which provides parameters of the lowest axial resonance a 1 (1260). Using the Breit-Wigner fit we extract m a1 = 1.44(4) GeV and the coupling g a 1 ρπ = 1.1(3) GeV. From the lowest state we also extract the ρπ scattering length a ρπ l=0 = 0.23( 12) fm for our m π . The simulation is performed using one N f = 2 ensemble of gauge configurations with cloverimproved Wilson quarks. The phase shifts are determined from the lowest two energy-levels, which are obtained by the variational analysis with a number of quark-antiquark and mesonmeson interpolators. The correlation functions are calculated using the distillation method with the Laplacian Heaviside (LapH) smearing of quarks.
I discuss how masses and widths of hadron resonances are extracted from lattice QCD. Recent lattice results on the light, strange and charm meson resonances are reviewed. Their properties are revealed by simulating the corresponding scattering channels ππ, Kπ and Dπ on the lattice and extracting the scattering phase shifts. In particular we address the resonances ρ, D * 0 (2400), D 1 (2430), K * , κ and K * 0 (1430).
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.