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- W1697437415 abstract "We study $ensuremath{pi}ensuremath{eta}$ scattering in a model which starts from the tree diagrams of a non-linear chiral Lagrangian including appropriate resonances. Previously, models of this type were applied to $ensuremath{pi}ensuremath{pi}$ and $ensuremath{pi}K$ scattering and were seen to require the existence of light scalar $ensuremath{sigma}(560)$ and $ensuremath{kappa}(900)$ mesons and to be consistent with the ${f}_{0}(980).$ The present calculation extends this to include the ${a}_{0}(980),$ thereby completing a possible nonet of light scalars, all ``seen'' in the same manner. We note that, at the initial level, the $ensuremath{pi}ensuremath{eta}$ channel is considerably cleaner than the $ensuremath{pi}ensuremath{pi}$ and $ensuremath{pi}K$ channels for the study of light scalars. This is because the large competing effects of vector meson exchange and ``current-algebra'' contact terms are absent. The simplicity of this channel enables us to demonstrate the closeness of our exactly crossing symmetric amplitude to a related exactly unitary amplitude. The calculation is also extended to higher energies in order to let us discuss the role played by the ${a}_{0}(1450)$ resonance." @default.
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- W1697437415 date "2000-03-10" @default.
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- W1697437415 title "Chiral Lagrangian treatment of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>π</mml:mi><mml:mi>η</mml:mi></mml:math>scattering" @default.
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- W1697437415 doi "https://doi.org/10.1103/physrevd.61.074030" @default.
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