\sigma-Particle in Production Processes

Abstract

A S-wave \pi\pi resonance below 1 GeV/c^2, sigma has been observed in analyses of the phase shift data of \pi\pi scatterings. It is important to observe it in production processes. A huge events of \pi^0\pi^0 below 1 GeV/c^2 is seen in the central production of the GAMS experiment. Its mass spectrum is well described by the variant mass and width method (VMW) including f_0(980), f_2(1270) and a S-wave resonance which might be assigned to be a sigma. We report here that the angular distributions of the \pi^0\pi^0 system are also described with the S-wave resonance interfering with f_0(980) and the tail of f_2(1270) by VMW. The same method is applied to the \pi^+\pi^- data of J/\psi \to \omega\pi\pi decay, and is shown that not only \pi^+\pi^- mass spectrum but also its cos\theta_\pi distributions are described well.