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- W1995450634 abstract "The study of correlations in ${K}_{e4}$ decays can give unique information on low-energy $ensuremath{pi}ensuremath{-}ensuremath{pi}$ scattering. To this end we introduce a particularly simple set of correlations. We show that the measurement of these correlations at any fixed $ensuremath{pi}ensuremath{-}ensuremath{pi}$ c.m. energy allows one to make a model-independent determination of the difference ${ensuremath{delta}}_{0}ensuremath{-}{ensuremath{delta}}_{1}$ between the $S$- and $P$-wave $ensuremath{pi}ensuremath{-}ensuremath{pi}$ phase shifts at that energy. Information about the average value of ${ensuremath{delta}}_{0}ensuremath{-}{ensuremath{delta}}_{1}$ can be obtained from a measurement of the same correlations averaged over the energy spectrum. Measurement of the average correlations is particularly suited to the testing of any model of low-energy $ensuremath{pi}ensuremath{-}ensuremath{pi}$ scattering. We discuss in particular two such models: (a) the Chew-Mandelstam effective-range description of $S$-wave scattering and (b) the Brown-Faier $ensuremath{sigma}$-resonance model for the $S$ wave. If the Chew-Mandelstam description is adequate, the suggested measurements should yield a value for the $S$-wave scattering length in the $I=0$ state. If the $ensuremath{sigma}$-resonance model is correct, these measurements should yield a value for the mass of the resonance." @default.
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- W1995450634 date "1965-01-25" @default.
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- W1995450634 title "Angular Correlations in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi><mml:mn>4</mml:mn><mml:mn /></mml:mrow></mml:msub></mml:mrow></mml:math>Decays and Determination of Low-Energy<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>π</mml:mi><mml:mo>−</mml:mo><mml:mi>π</mml:mi></mml:math>Phase Shifts" @default.
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- W1995450634 doi "https://doi.org/10.1103/physrev.137.b438" @default.
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