The Zerology of Kaon-Nucleon Forward Scattering Amplitudes

Abstract

It has been realized for a long time (1–4) that zeros of the forward kaon-nucleon scattering amplitudes are useful in correlating different low and high-energy scattering parameters and in providing a consistency test of available data. The simplest possibility of exploring zeros is to evaluate the ordinary dispersion relations in the complex energy plane Hie more natural way of bringing zeros of amplitudes into play is to consider either one of the more sophisticated forms of dispersion relations: i.) phase dispersion relations (2, 3), ii.) inverse-amplitude dispersion relations (1, 3), iii.) logarithmic dispersion relations (5), or to apply the maximum modulus theorem and a factorization theorem (6, 7).