Single inclusive hadron production at the LHC with an improved impact parameter dependent saturation model* *Supported by the National Natural Science Foundation of China (12165004, 11765005, 11947119); the Guizhou Provincial Science and Technology Projects (ZK[2023]027, [2019]5103); the Education Department of Guizhou Province, China (KY[2021]131); the National Key Research and Development Program of China (2018YFE0104700, CCNU18ZDPY04)

Abstract

To obtain a reasonable description of the hadron production at the LHC energies, the impact parameter dependent saturation model is modified by inclusion of an anomalous dimension γ, which controls the slope of the scattering amplitude in the transition from the dilute region to the saturation region. We calculate the transverse momentum distribution and nuclear modification factor of the and charged hadrons with the improved model, and the results are consistent with measurements performed at the LHC. Moreover, we use the original impact parameter dependent model to study the aforementioned measurements performed at the LHC by adjusting its parameters. We find that the improved model is more consistent with the experimental data than the original one, as the anomalous dimension plays a significant role in the suppression of the evolution of the scattering amplitude.