Re-analysis of ππ/ KπPhase Shift and Existence of σ$(600) / κ(900)-Particle

Details Re-analysis of ππ/ KπPhase Shift and Existence of σ$(600) / κ(900)-Particle Re-analysis of ππ/ KπPhase Shift and Existence of σ$(600) / κ(900)-Particle

1997-12-02

arxiv.org/abs/hep-ph/9712230v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk at HADRON'97, the 7th int. conf. on hadron spectroscopy, BNL, August 1997. 4 pages with 3 eps figures

Scientific paper

10.1063/1.55961

Re-analyzing the old phase shift data of I=0, \pi\pi (I=1/2, K\pi) scattering, we show an evidence for existence of the \sigma-particle (\kappa-particle) with a comparatively light mass, which has been missing for a long time: In the analysis we have applied a new method of interfering Breit-Wigner amplitudes, which makes the scattering amplitude parametrized in terms of only physical quantities, mass and width of resonant particles, in conformity with unitarity. We have introduced phenomenologically a background phase shift \delta_{BG} of repulsive core type. The \chi^2-fits of the both \pi\pi- and K\pi- phase shifts are improved greatly with the \delta_{BG} over the conventional fits without it.

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