Improved Systematic of pp Elastic Scattering Data

TL;DR

This paper enhances a systematic model for proton-proton elastic scattering data, extending its applicability to higher momentum transfer regions by combining it with a two exponential parametrization, resulting in improved data description at high energies.

Contribution

The authors integrate a high |t| parametrization with their existing systematic model, enabling accurate description of pp elastic scattering across a broader momentum transfer range.

Findings

Successful description of pp elastic scattering data at P_lab > 10 GeV/c

Extended the model to accurately fit high |t| regions

Provided a practical tool for Glauber Monte Carlo simulations

Abstract

Unified systematic of elastic scattering data (USESD) proposed by the authors (arxiv:1111.4984 [hep-ph]) is based on symmetrized 2-dimensional Fermi distribution for pp elastic scattering amplitude in the impact parameter representation. It allows to describe differential cross sections of the reactions up to |t| ~ 1.75 (GeV/c)$^2$. To extend it to higher |t| values we consider a two coherent exponential parametrization of the cross sections and show that it cannot describe the cross sections at small |t| at $P_{lab}>$ 10 GeV/c. We extract a description of high |t| region from the parameterization and couple it with USESD. As a result, we obtained a good description of all pp elastic scattering data at $P_{lab}>$ 10 GeV/c. It can be easily used in Glauber Monte Carlo codes for calculations of nucleus-nucleus interaction properties.