2022ApJ...941...84L

In this paper, we calibrate the Amati relation (the E_p-E_iso correlation) of gamma-ray bursts (GRBs) in a cosmology-independent way. By using a Gaussian process to reconstruct the smoothed luminosity distance from the Pantheon type Ia supernovae sample, we utilize the reconstructed results to calibrate the E_p-E_iso correlation with the Markov Chain Monte Carlo method and construct a Hubble diagram with the A220 GRB data, in which there are A118 GRB data with the higher qualities appropriate for cosmological purposes. With 98 GRBs at 1.4 < z ≤ 8.2 in the A118 sample and the observed Hubble data, we obtain Ω_m = ${0.346}_{-0.069}^{+0.048}$, h = ${0.677}_{-0.029}^{+0.029}$ for the flat ΛCDM model, and Ω_m = ${0.314}_{-0.055}^{+0.072}$, h = ${0.705}_{-0.069}^{+0.055}$, w = $-{1.23}_{-0.64}^{+0.33}$ for the flat wCDM model, which are consistent with those from fitting the coefficients of the Amati relation and the cosmological parameters simultaneously.