Parametrization of the $\bar PP$ Elastic Scattering Differential Cross Section Between 2 GeV/c $\leq P_{lab}\leq$ 16 GeV/c

TL;DR

This paper presents a parameterization of antiproton-proton elastic scattering cross sections over a range of beam momenta, accurately fitting existing data and aiding detector design at FAIR.

Contribution

A new parameterization model for $ar pp$ elastic scattering cross sections from 2 to 16 GeV/c that fits experimental data and supports detector simulations.

Findings

Accurately describes existing scattering data.

Captures diffraction pattern up to high momentum transfer.

Useful for detector radiation load calculations.

Abstract

A parameterization of the $\bar pp$ differential elastic scattering cross section in the beam momentum range from 2 to 16 GeV/c is proposed. The parameterization well describes the existing data including the observed diffraction pattern at four-momentum transfer $|t|$ up to 1.5-2.0 GeV$^2$. It can be used for detailed calculations of the radiation load on the detectors being designed for the PANDA detector at the future FAIR facility in Darmstadt.