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 (Lₗ) - ultraviolet luminosity (Lₔₕ) relations of quasars, i. e. , the standard Lₗ-Lₔₕ 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 CDM 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 CDM 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. 2530. 027), and H₀ = 70. 803. 6~km~s^-1Mpc^{-1}, falling between the measurements from SH0ES and the Planck cosmic microwave background radiation data.