Convergent polynomial expansion, scaling of differential cross-section and computation of scaling functions for elastic diffraction scattering processes

Abstract

Existing data on the differential cross-section ratio at high energies for pp,$\bar p$p, π^±p andK ^±p scatering have been fitted by the proposed convergent polynomial expansion to determine the unknown coefficients in the scaling function. It is found that the data are very well represented within and somewhat outside the peak regions by only four or five terms in the proposed series in terms of Laguerre polynomials.