First Results of a Detailed Analysis of p+p Elastic Scattering Data from ISR to LHC Energies in the Quark-Diquark Model

TL;DR

This paper presents a detailed analysis of proton-proton elastic scattering data across a wide energy range using the quark-diquark model, revealing how proton size and shadowing effects evolve with energy.

Contribution

It provides the first comprehensive analysis from ISR to LHC energies using the Bialas and Bzdak quark-diquark model, highlighting energy-dependent proton size and shadowing effects.

Findings

Proton size increases systematically with energy.

Quark and diquark sizes remain approximately constant across energies.

Shadowing effects become more significant at LHC energies.

Abstract

First results of a detailed analysis of p+p elastic scattering data are presented from ISR to LHC energies utilizing the quark-diquark model of protons in a form proposed by Bialas and Bzdak. The differential cross-section of elastic proton-proton collisions is analyzed in detailed and systematic manner at small momentum transfers, starting from the energy range of CERN ISR at $\sqrt{s}= 23.5$ GeV, including also recent TOTEM data at the present LHC energies at $\sqrt{s} = 7$ TeV. These studies confirm the picture that the size of protons increases systematically with increasing energies, while the size of the constituent quarks and diquarks remains approximately independent of (or only increases only slightly with) the colliding energy. The detailed analysis indicates correlations between model parameters and also indicates an increasing role of shadowing at LHC energies.