A precise measurement of p̄p elastic scattering in the Coulomb-strong interaction interference region was performed at the CERN Sp̄pS Collider at a centre-of-mass energy of 541 GeV. The ratio of the real to the imaginary part of the forward elastic scattering amplitude was found to be ρ = 0.135 ± 0.015. The slope of the exponential fall off of the strong interaction part was also measured to be b = 15.5 ± 0.1 GeV−2

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An overall t to the data on the total cross section and on the real part of the forward amplitude for pp and pp was performed using dispersion relations.The energy dependence of the total cross section was studied up to p s=100TeV. Numerical predictions are presented for LHC and SSC energies. GENEVA 1993Submitted to Phys. Lett. B