Applicability of a Representation for the Martin's Real-Part Formula in Model-Independent Analyses

Abstract

Using a novel representation for the Martin's real-part formula without the full scaling property, an almost model-independent description of the proton-proton differential cross section data at high energies (19.4 GeV - 62.5 GeV) is obtained. In the impact parameter and eikonal frameworks, the extracted inelastic overlap function presents a peripheral effect (tail) above 2 fm and the extracted opacity function is characterized by a zero (change of sign) in the momentum transfer space, confirming results from previous model-independent analyses. Analytical parametrization for these empirical results are introduced and discussed. The importance of investigations on the inverse problems in high-energy elastic hadron scattering is stressed and the relevance of the proposed representation is commented. A short critical review on the use of Martin's formula is also presented.

arXiv commentTwo comments and one reference added at the end of Subsec. 3.3; 23 pages, 9 figures; to be published in Int. J. Mod. Phys. A

References in corpus (12)

• Impact-Picture Phenomenology for ${\pi }^{\pm }p,K^{\pm }p$ and $pp,\bar{p}p$
• Forward Physics at the LHC; Elastic Scattering
• A theorem on the real part of the high-energy scattering amplitude near the forward direction
• The Interest of Large-t Elastic Scattering
• Critical analysis of derivative dispersion relations at high energies
• The soft and the hard pomerons in hadron elastic scattering at small t
• Phenomenological analysis connecting proton-proton and antiproton-proton elastic scattering
• Evidence for eikonal zeros in the momentum transfer space
• Eikonal representation in the momentum-transfer space
• Eikonal zeros in the momentum transfer space from proton-proton scattering: An empirical analysis
• Model-independent data reductions of elastic proton-proton scattering
• Proton Profile Function at 52.8 GeV

Cited by in corpus (4)

• Aspects of a dynamical gluon mass approach to elastic hadron scattering at LHC
• Exploring central opacity and asymptotic scenarios in elastic hadron scattering
• Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV and 8 TeV
• Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV