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- W2092904170 abstract "Application of hard-pion four-point functions is made to $ensuremath{pi}ensuremath{pi}$ scattering on the basis of the $mathrm{SU}(2)ifmmodetimeselsetexttimesfi{}mathrm{SU}(2)$ current algebra, a conserved vector current, a partially conserved axial-vector current, and the hypothesis of single-meson dominance of intermediate states in $T$ products. The calculation uses techniques previously developed for exploiting the content of the current algebra and the subsidiary conditions for an $N$-point process. The $ensuremath{pi}ensuremath{pi}$ scattering amplitude is shown to include, besides the well-known pole diagrams, a set of seagull terms. The Weinberg scattering lengths and effective ranges are found to be accurate to within a few percent, since the hard-pion corrections at threshold are only of $O(frac{m_{ensuremath{pi}}^{}{}_{}{}^{2}}{m_{ensuremath{rho}}^{}{}_{}{}^{2}})$. In the low-energy region, the scattering-phase shifts are seen to be generally small and essentially model-independent, while at the $K$-meson mass we find $ensuremath{delta}_{0}^{}{}_{}{}^{0}ensuremath{-}ensuremath{delta}_{0}^{}{}_{}{}^{2}ensuremath{simeq}{35}^{ensuremath{circ}}$. All existing data (up to 1 GeV) can be fitted by adjusting one model-dependent parameter." @default.
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- W2092904170 date "1968-11-25" @default.
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- W2092904170 title "Application of Hard-Pion Four-Point Functions to Pion-Pion Scattering" @default.
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- W2092904170 doi "https://doi.org/10.1103/physrev.175.1820" @default.
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