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Inequalities on left-hand discontinuities of pion-pion partial wave amplitudes

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Zeitschrift für Physik A Hadrons and nuclei

Abstract

The partial wave crossing relations derived by Balachandran and Nuyts are used to derive inequalities among integrals over left-hand discontinuities of elastic pionpion scattering, weighted by Jacobi functions of the second kind. The only other input for these inequalities are — besides isospin — positivity and boundedness of the right-hand imaginary parts.

It is pointed out that similar inequalities follow directly from recent inequalities of Martin.

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  1. Physics Department, University of Kabul, Afghanistan

    P. Grassberger

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  1. P. Grassberger
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Grassberger, P. Inequalities on left-hand discontinuities of pion-pion partial wave amplitudes. Z. Physik 236, 410–416 (1970). https://doi.org/10.1007/BF01394132

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  • DOI: https://doi.org/10.1007/BF01394132

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