Abstract
It is shown that W-invariance together with octet dominance restricts the SU(3) × SU(3) symmetry breaking Lagrangian to the representations (3, 3 ) ⊗ ( 3 , 3), (6, 6 ) ⊗ ( 6 , 6), (8, 8), and (1, 8) ⊗ (8, 1). In a nonlinear model, this Langranian predicts that the T = 2, S-wave π- π scattering length is zero; and when fitted to the empirical pion and K-meson masses, it predicts a T = 0 scattering length of 0.26 m − π . Compared with the (3, 3 ) ⊗ ( 3 , 3) model, this model gives a larger (by a factor 8 3 ) nucleon σ-term, in agreement with recent calculations.
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