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Elastic -scattering at with the genuine Orear regime and the dip
Phys. Rev. D 85, 074009 – Published 9 April, 2012
DOI: https://doi.org/10.1103/PhysRevD.85.074009
Abstract
The unitarity condition unambiguously requires the Orear region to appear in between the diffraction cone at low transferred momenta and the 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 a region has been observed in the differential cross-section of the elastic -scattering at . 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 an 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.
Article Text
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The results of Ref. [15] (see the figure cited therein) as well as our results (see Eq.
(10) and Fig.
2 below, with the subsequent discussion), where the elastic rescattering
was subtracted from experimental data, give strong support to this assumption.
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The phase was determined in Refs. [10, 11] from the iterative solution of the unitarity equation to be equal
(actually with a somewhat larger absolute value), but we use it here as a free parameter. The first (weaker damped) oscillating term in the exact solution of Eq.
(6) has only been taken into account in Eq.
(9)
. Let us note the same values of the exponential damping and the period of the oscillations.
This happens at all energies.