Analysis of the eikonal in pion-proton elastic collisions at high energies

At the plab = 50 GeV/c and plab = 200 GeV/c, on the range 0<-t<10(GeV/c)2], we analyzed the elastic scattering pion-proton on the impact parameter space in a model independent way. Firstly, we fitted the data by assuming a purely imaginary elastic amplitude and expressing it as a sum of the exponentials on the momentum transfer-t. Secondly, we incorporated the real part of the amplitude by means of the dispersion relations. After that we calculated the eikonal and tested the geometrical scaling and factoring eikonal models. Our results suggest an eikonal with a central factoring part a more peripherical part indicating a geometrical scaling. (author)