Abstract

It is shown that the unitarized {ital P}-wave Nambu-Goldstone scattering amplitude, constructed from the one-loop chiral perturbation theory by the {ital K}-matrix method, does not have a resonant behavior, but has instead one nearby pair of complex-conjugate poles on the physical sheet and should be rejected. This result is in constrast with other unitarization schemes such as the Pade, the inverse amplitude, and the {ital N}/{ital D} methods, which produce a {ital P}-wave resonance and have the correct analytic property.

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