Constraints on Cosmological Models from Quasars Calibrated with Type Ia Supernova by a Gaussian Process

In this paper, we use quasars calibrated from type Ia supernova (SN Ia) to constrain cosmological models. We consider three different X-ray luminosity (LX) - ultraviolet luminosity (LUV) relations of quasars, i.e., the standard LX-LUV relation and two redshift-evolutionary relations (Type I and Type II) respectively constructed from copula and considering a redshift correction to the luminosity of quasars. Only in the case of the Type I relation, quasars can always provide effective constraints on the ΛCDM model. Furthermore, we show that, when the observational Hubble data (OHD) are added, the constraints on the absolute magnitude M of SN Ia and the Hubble constant H₀ can be obtained. In the ΛCDM model, the OHD measurements plus quasars with the Type I relation yields M =-19.321+0.085-0.076, which is in good agreement with the measurement from SH0ES (M=-19.253±0.027), and H₀ = 70.80±3.6~km~s⁻¹Mpc⁻¹, falling between the measurements from SH0ES and the Planck cosmic microwave background radiation data.