https://doi.org/10.1140/epjc/s10052-017-5403-7
Regular Article - Theoretical Physics
Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV
1
Instituto de Física, Universidade Federal Fluminense, Niterói, RJ, 24210-346, Brazil
2
Instituto de Física, Universidade Federal do Rio de Janeiro, C.P. 68528, Rio de Janeiro, RJ, 21945-970, Brazil
3
Centro Brasileiro de Pesquisas Físicas-CBPF, Rio de Janeiro, RJ, Brazil
* e-mail: kendi@if.ufrj.br
Received:
19
September
2017
Accepted:
22
November
2017
Published online:
16
December
2017
Recent measurements of the differential cross sections in the forward region of pp elastic scattering at 7 and 8 TeV show the precise form of the t dependence. We present a detailed analysis of these measurements including the structures of the real and imaginary parts of the scattering amplitude. A good description is achieved, confirming in all experiments the existence of a zero in the real part in the forward region close to the origin, in agreement with the prediction of a theorem by Martin, with an important role in the observed form of 
. A universal value for the position of this zero and regularity in other features of the amplitudes are found, leading to quantitative predictions for the forward elastic scattering at 13 TeV.
© The Author(s), 2017
