Comparison of Forward Dispersion Relations with Experiments around 10 GeV

Abstract

Using the recent experimental data on the real part of the forward ir^p amplitude around 10 GeV, we have carried out a comparison of forward dispersion relations with experiments in the high-energy region. In this work we propose a new method for testing forward dispersion relations which involves no assumptions whatsoever about the unknown cross sections above 20 GeV. On account of the large systematic | errors in the measured real parts, no definite conclusion can be drawn as to the validity of forward dispersion i relations. In estimating the standard deviations in the dispersion integrals, a Monte Carlo method has been used.