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Convergent polynomial expansion,scaling of differential cross-section and computation of scaling functions for elastic diffraction scattering processes
Authors:N Giri  M K Parida
Institution:(1) Post-Graduate Department of Physics, Sambalpur University, 768 017 Jyoti Vihar, Burla, India;(2) Department of Physics, Gangadhar Meher College, 768 004 Sambalpur, India
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.
Keywords:Scaling hypothesis  convergent polynomial expansion  diffraction scattering  scaling function
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