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Abstract

Using GELL-MANN's ansatz for the SU(3)⊗SU(3) symmetry breaking part HSB = -u0 -cu8 in the strong HAMILTONIAN density, where the operators uj (j = 0, 1,…8) are the scalar part of a basis for the {(3,3) ⊕ (3,3)} representation of chiral SU(3)⊗SU(3) and where the constant c is a measure for SU(3) breaking within the SU(3)⊗SU(3) breaking, a sum rule for the spin zero spectral functions of the pseudoscalar axial vector current octet is derived. Saturating the sum rule with the lowest lying states, the mass of the ninth pseudoscalar meson can be estimated as mη1 = 950 MeV.