Momentum space saturation model for deep inelastic scattering and single inclusive hadron production

TL;DR

This paper extends the AGBS model, originally for deep inelastic scattering, to describe single inclusive hadron production in proton and deuteron-gold collisions, successfully fitting RHIC data and predicting LHC results.

Contribution

The paper introduces a unified momentum space description of both deep inelastic scattering and hadron production using the AGBS model, incorporating a new Fourier transform approach.

Findings

The AGBS model accurately describes RHIC data on hadron yields.

The model's predictions at LHC energies align well with experimental data.

A unified description of different processes in momentum space is achieved for the first time.

Abstract

We show how the AGBS model, originally developed for deep inelastic scattering applied to HERA data on the proton structure function, can also describe the RHIC data on single inclusive hadron yield for $d+Au$ and $p+p$ collisions through a new simultaneous fit. The single inclusive hadron production is modeled through the color glass condensate, which uses the quark(and gluon)--condensate amplitudes in momentum space. The AGBS model is also a momentum space model based on the asymptotic solutions of the BK equation, although a different definition of the Fourier transform is used. This aspect is overcome and a description entirely in transverse momentum of both processes arises for the first time. The small difference between the simultaneous fit and the one for HERA data alone suggests that the AGBS model describes very well both kind of processes and thus emerges as a good tool to investigate the inclusive hadron production data. We use this model for predictions at LHC energies, which agree very well with available experimental data.