Abstract
By investigating matrix elements of current commutation rules taken between the vacuum and one-meson states (o −, 1 −), we show the need for opposite-parity meson states (0 +, 1 +), even in the presence of SU(3) × SU(3) symmetry-breaking effects. We obtain sum rules for these 0 + and 1 + states under the assumption that they appear as resonances and under the assumption that they appear as an enhancement in the scattering amplitude near threshold. Our results indicate that these opposite parity states appear either as threshold-scattering enhancements or as resonances close to threshold. When the sum rules are used to calculate the contributions from the 0 + and 1 + intermediate states to the meson-meson forward-scattering sum rules, i.e., πK and πϱ scattering, we find that these contributions completely saturate these sum rules.
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