A use of zeros in evaluating the K±p forward scattering amplitudes

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Abstract
A global parametrisation is used to fit data on a discrepancy function formed from the K-p forward scattering amplitude. No specific form of the K-p amplitude on its unphysical cut is required for the construction of the discrepancy-function data. The class of admissible functions is restricted by imposing constraints on the number and positions of the zeros of the discrepancy function. When analytically continued to the unphysical cut, the fit is found to be compatible with typical K-matrix parametrisations of the K-p scattering amplitude. Predictions are given for the real parts of the K+or-p forward scattering amplitudes, for the effective KNY coupling constant and for the zeros of the amplitude in the complex energy plane.