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Detailed analysis of the measurements of differential cross sections in theforward region of pp elastic scattering at 13 TeV in LHC is performed. Thestructures of the real and imaginary parts of the scattering amplitude areinvestigated, both requiring exponential and linear factors. Representations ofthe data in different conditions are compared, accounting for predictions fromdispersion relations and investigating the role of the Coulomb-nuclearinterference. The additivity of nuclear and Coulomb eikonal phases to determinethe interference phase in pp scattering is submitted to a comparison withassumption of phase equal to zero. The structures of the real part of thescattering amplitude under the two assumptions are examined, and directcomparison is performed with the information extracted from the data. Thealternative criteria for the treatment of the interference phase lead todifferent values for the $\rho$ parameter between 0.1 and 0.13 while $\sigma$differ by 0.18 mb, and it is shown that the available data cannot discriminatethe two models.

The interplay of hadronic amplitudes and Coulomb phase in LHC measurements at 13 $\rm TeV$