Effective transverse radius of nucleon in high-energy elastic diffractive scattering

Abstract

High-energy elastic diffraction of nucleons is considered in the framework of the simplest Regge-eikonal approximation. It is demonstrated explicitly that the effective transverse radius of nucleon in this nonperturbative regime is ∼ 0.2 ÷ 0.3 fm and much less than the transverse size of the diffractive interaction region.

Central exclusive diffractive production of two-pion continuum at hadron colliders

“…Here is a short review of formulae for the Regge-eikonal approach [21], [22], which we use to estimate rescattering corrections in the proton proton and pion proton channels.…”

Two-Pomeron eikonal approximation for the high-energy elastic diffractive scattering of nucleons

“…The HP intercept can be extracted from the data on the proton unpolarized structure function F p 2 (x, Q 2 ) [8] at high values of the incoming photon virtuality Q 2 and low values of the Bjorken scaling variable x: α HP (0) ≈ 1.32 [9]. In the region of low negative t, the unknown functions α SP (t), g SP (t), and β HP (t) may be approximated with the help of the following simple test parametrizations [10,6]:…”

“…The parameter values for (2) obtained earlier[10,6] via fitting to the EDS data in the collision energy range 546 GeV ≤ √ s ≤ 7 TeV.…”

High-energy central exclusive production of the lightest vacuum resonance related to the soft Pomeron

“…where α P (t) is the Regge trajectory of the Pomeron, g ppP (t) is the Pomeron coupling to proton, s 0 = 1 GeV 2 is the unit of measurement, and g PPf 2 (t 1 , t 2 ) is the structure function related to the structure ∆ µ 1 ∆ ν 1 in the double Pomeron fusion vertex. The factors πα ′ P are singled out within the Regge residue for the same reasons as in the cases of elastic scattering [6] and high-missing-mass SDD [7]. Comparing the diagram for the f (P) 2 (X) exclusive production (the left picture in Fig.…”

“…The aim of this eprint is to provide such an estimation with the help of the simplest Reggeeikonal model applied earlier to the high-energy elastic scattering [6] and single diffractive dissociation (SDD) [7] of protons.…”