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- W2026009962 abstract "The strip-approximation procedure of Chew and Frautschi is applied in the pion-pion problem to estimate the cross section for the process $2ensuremath{pi}ensuremath{rightarrow}4ensuremath{pi}$ considered in its full isotopic spin generality. The main results are dependent on $S$-wave scattering length formulas for low-energy pion-pion scattering. The inelastic cross sections are found to attain maxima not greater than 0.016 mb at total energies of about $11{m}_{ensuremath{pi}}$. Arguments based on the geometry of the double spectral functions suggest these results are accurate in the energy range from threshold at $4{m}_{ensuremath{pi}}$ to $8{m}_{ensuremath{pi}}$. On the basis of an estimation which is necessarily crude since the strip approximation breaks down in this case, the cross section for $ensuremath{rho}$ production is found to go through a maximum of about 0.5 mb at an energy of $13{m}_{ensuremath{pi}}$, but $ensuremath{rho}$ production is probably not significant at energies below $8{m}_{ensuremath{pi}}$. An attempt is also made to estimate quantitatively to what extent the four final pions emerge in two well-defined pairs and it is found that the effect is rather indistinct." @default.
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- W2026009962 date "1963-07-15" @default.
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- W2026009962 title "Pion Production in Pion-Pion Collisions" @default.
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- W2026009962 doi "https://doi.org/10.1103/physrev.131.854" @default.
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