  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.
