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arXiv · 1811.03212

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

A. K. Kohara·E. Ferreira·M. Rangel
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Abstract

Detailed analysis of the measurements of differential cross sections in the forward region of pp elastic scattering at 13 TeV in LHC is performed. The structures of the real and imaginary parts of the scattering amplitude are investigated, both requiring exponential and linear factors. Representations of the data in different conditions are compared, accounting for predictions from dispersion relations and investigating the role of the Coulomb-nuclear interference. The additivity of nuclear and Coulomb eikonal phases to determine the interference phase in pp scattering is submitted to a comparison with assumption of phase equal to zero. The structures of the real part of the scattering amplitude under the two assumptions are examined, and direct comparison is performed with the information extracted from the data. The alternative criteria for the treatment of the interference phase lead to different 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 discriminate the two models.

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A. K. Kohara, E. Ferreira, M. Rangel. 2018-11-08. The interplay of hadronic amplitudes and Coulomb phase in LHC measurements at 13 $\rm TeV$. https://doi.org/10.1016/j.physletb.2018.12.021

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