Chiral Symmetry Aspects of the Scalars

B. Moussallam; J. Stern

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arXiv · hep-ph/9404353

Chiral Symmetry Aspects of the Scalars

B. Moussallam·J. Stern

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Abstract

Electromagnetic decays of the scalar mesons are shown to be constrained by chiral symmetry as a consequence of the fact that, in the chiral limit, the two and three-point functions $ $ and $ $ satisfy super-convergent dispersion relations. The QCD asymptotic behavior of the latter is canonical and it can be saturated by a finite number of resonances. The corresponding chiral lagrangian for vector and scalar resonances is constructed. Matching to the correct asymptotic structure generates non-minimal terms which have so far been ignored. It is found that the width $a_0(980)\to2γ$ can be naturally reproduced suggesting that the $a_0(980)$ is not an exotic particle.

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B. Moussallam, J. Stern. 1994-04-29. Chiral Symmetry Aspects of the Scalars. https://arxiv.org/abs/hep-ph/9404353

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