ANALYSIS OF pp AND $\bar pp$ ELASTIC SCATTERING BASED ON HIGH ENERGY BOUNDS

Abstract

Considering the Froissart–Martin bound, Jin–Martin–Cornille bound and the optical theorem, we propose a novel parametrization for the total cross-section of proton–proton and antiproton–proton elastic scattering data. Using derivative dispersion relations we obtain the real part of the elastic scattering amplitude and thus the ρ parameter. Simultaneous fits to σtot and ρ are performed allowing very good statistical descriptions of the available data. Furthermore, predictions to σtot and ρ at energies not used in the fit procedures are presented. For σtot we obtain predictions at RHIC, LHC and future hadron collider energies.

Energy Dependence of the Ratio of the Elastic-to-Total Cross Sections for Proton—Proton and Antiproton—Proton Collisions

“…Such dependence appears in various approaches [3][4][5]. On the other hand the term ∝ ε −β suggested within axiomatic quantum field theory (AQFT) [6] allows us the reasonable description for the experimental data at low energies down to the √ s = 3 GeV [4,6]. Moreover the detailed analysis of the energy dependence of slope parameter (B) in elastic scattering shows that the function ∝ ln −γ ε provides the close χ 2 /n.d.f.…”

Analysis of pp and p̄p elastic scatterings based on theoretical bounds in high-energy physics: An update

“…where the imaginary part of F represents the absorptive term in the scattering reaction. In a previous work [5], the scattering amplitude in forward direction, −t = q 2 = 0, was obtained based on both the formal high-energy bounds and the theorems from AQFT. Consequently, in [5] the following parameterizations for the global scattering parameters were deduced within AQFT 1…”

“…The paper is organized as follows. In section II, we present the basic formalism developed in [5] for elastic pp and pp scattering. Section III contains the results for simultaneous fits of global scattering parameters with taking into account the recent improvement for experimental database.…”

Elastic scattering of hadrons

“…The above scaling laws must be satisfied for the imaginary part of the amplitude times the factor |t|/s (see (99)). It follows from Eq.…”