2013/05/15 by Anderson Kendi Kohara, Kohara, Anderson Kendi, Erasmo Ferreira +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.1305.3589
9 pages, 11 figures (20 eps files), LISHEP 2013 Workshop Proceedings
arxiv created 2013/05/15 · arxiv updated 2013/05/16
We construct analytical forms in the impact parameter b-space for the real and imaginary amplitudes describing elastic pp and \rm p p scattering. The amplitudes converted analytically to the momentum transfer t-space have magnitudes, slopes, curvatures, zeros, signs, obeying phenomenological and theoretical expectations, and describe with high precision all details of the data, in the full-t range, and for energies from 20 GeV to 7 TeV. The connection of forward with large-|t| behavior allows precise determination of total cross-sections, slopes and other scattering parameters. We study the properties and the energy dependence of the b-space profile functions, observing that the real part has fundamental influence in the structure of dσ/dt at intermediate and large |t| values. We discuss the 540/546 GeV and 1.8/1.96 TeV data from CERN SPS and Fermilab TEVATRON and the 7 TeV results from TOTEM measurements at LHC, and investigate the extrapolation to 14 TeV and higher energies.