Geometric Scaling in New Combined Hadron-Electron Ring Accelerator Data

We study the geometric scaling in the new combined data of the hadron-electron ring accelerator by using the Golec-Biernat–Wüsthoff model. It is found that the description of the data is improved once the high accurate data are used to determine the model parameters. The value of x₀ extracted from the fit is larger than the one from the previous study, which indicates a larger saturation scale in the new combined data. This makes more data located in the saturation region, and our approach is more reliable. This study lets the saturation model confront such high precision new combined data, and tests geometric scaling with those data. We demonstrate that the data lie on the same curve, which shows the geometric scaling in the new combined data. This outcome seems to support that the gluon saturation would be a relevant mechanism to dominate the parton evolution process in deep inelastic scattering, due to the fact that the geometric scaling results from the gluon saturation mechanism.