Elastic pp-scattering at \sqrt s=7 TeV with the genuine Orear regime and the dip

Abstract

The unitarity condition unambigously requires the Orear region to appear in between the diffraction cone at low transferred momenta and hard parton scattering regime at high transferred momenta in hadron elastic scattering. It originates from rescattering of the diffraction cone processes. It is shown that such region has been observed in the differential cross section of the elastic pp-scattering at \sqrt s=7 TeV. The Orear region is described by exponential decrease with the scattering angle and imposed on it damped oscillations. They explain the steepening at the end of the diffraction cone as well as the dip and the subsequent maximum observed in TOTEM data. The failure of several models to describe the data in this region can be understood as improper account of the unitarity condition. It is shown that the real part of the amplitude can be as large as the imaginary part in this region. The overlap function is calculated and shown to be small outside the diffraction peak. Its negative sign there indicates the important role of phases in the amplitudes of inelastic processes.

arXiv comment5 pages, 2 figures, revtex4

References in corpus (3)

• First measurement of the total proton-proton cross section at the LHC energy of {\surd} s =7 TeV
• Proton-proton elastic scattering at the LHC energy of {\surd} = 7 TeV
• Forward hadronic scattering at 7 TeV: predictions for the LHC; an update

Cited by in corpus (14)

• Elastic scattering of hadrons
• The interaction region of high energy protons
• Scattering of wave packets with phases
• Hadron collisions at ultrahigh energies: black disk or resonant disk modes?
• Proton periphery activated by multiparticle dynamics
• Elastic scattering of protons from sqrt{s}=23.5 GeV to 7 TeV from a generalized Bialas-Bzdak model
• Probing phase of a scattering amplitude beyond the plane-wave approximation
• Hard and soft pomerons in elastic nucleon scattering
• Elastic $\mathrm{p}\bar{\mathrm{p}}$ Scattering Amplitude at 1.8 TeV and Determination of Total Cross Section
• The black disk to be observed in the Orear region
• Testing scaling laws for the elastic scattering of protons
• Asymptotics and zeros of the imaginary part of the elastic scattering amplitude
• The Possibility of New Physics in pp Elastic Scattering at LHC
• Hadron diffractive production at ultrahigh energies