Abstract

We demonstrate how a chiral soft pion theorem (SPT) shields the scalar meson ground state isoscalar σ(600−700)σ(600-700) and isospinor κ(800−900)κ(800-900) from detection in a1→π(ππ)swavea_{1}\toπ(ππ)_{\mathrm{swave}}, γγ→2π∘γγ\to2π^{\circ}, π−p→π−π+nπ^{-}p\toπ^{-}π^{+}n and K−p→K−π+nK^{-}p\to K^{-}π^{+}n processes. While pseudoscalar meson PVV transitions are known to be determined by (only) quark loop diagrams, the above SPT also constrains scalar meson SVV transitions to be governed (only) by meson loop diagrams. We apply this latter SVV theorem to a0→γγa_{0}\toγγ and f0→γγf_{0}\toγγ decays.

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