  The available data on the a0(980), f0(980), f0(1300) and K*0(1430) mesons are
fitted as a distorted 0++ nonet using only 6 parameters and a very general
model. This includes all light two-pseudoscalar thresholds, constraints from
Adler zeroes, flavour symmetric couplings, unitarity and physically acceptable
analyticity. One finds that with the large overall coupling there can appear
two physical resonance poles from only one q bar q state. Thus the f0(980) and
f0(1300) resonance poles are two manifestations of the same s bar s state. On
the other hand, the u bar u state, when unitarized and strongly distorted by
hadronic mass shifts, becomes an extremely broad Breit-Wigner-like background,
with its pole at s =(0.158-i0.235) GeV^2. This is the sigma meson required by
models for spontaneous breaking of chiral symmetry.
