2011/05/30 by A. V. Anisovich, Anisovich, A. V., V.V. Anisovich +13
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1105.5923
openalex publication_date 2011/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe the meson-meson data for the (IJPC=00++) wave at 280≤√ s≤ 1900 MeV in two approaches: (i) the K-matrix approach and (ii) the dispersion relation D-matrix method. With a good description of low energy data (at 280≤√ s≤ 900 MeV) as well as the data of two-meson transition amplitudes and antiproton-proton annihilation into three pseudoscalar meson states (at 450≤√ s≤ 1950 MeV) we have found the positions of the resonance poles: (i) for the σ meson pole: Mσ= (390± 35)-i(235± 50) MeV; (ii) two poles for the f0(980), on the second sheet (under the ππ cut): MI = (1011± 5)-i(35± 5) MeV, and on the third sheet (under the ππ and K K cuts), MII = (1035± 50)-i(460± 50) MeV; for the f0(1370) meson, M= (1285± 30)-i(160± 20) MeV; for the f0(1500) meson, M = (1488± 4)-i(53± 5) MeV; for the f0(1790) meson, M = (1775± 25)-i(140± 15) MeV and for the broad state f0(1200-1600) M=(1540± 120)-i(550± 70) MeV. Our estimation of the scalar-isoscalar scattering length obtained under different parameterizations and assumptions about the quality of low energy ππ scattering data is a00=(0.215± 0.040)μ-1π. We also discuss the idea according to which the σ-meson could be a remnant of the confinement singularity, 1/s2, in a white channel.