Quasar UV/X-ray relation luminosity distances are shorter than reverberation-measured radius–luminosity relation luminosity distances

We use measurements of 59/58 quasars (QSOs), over a redshift range $0.0041\leq z \leq 1.686$, to do comparative study the radius--luminosity ($R-L$) and X-ray$-$UV luminosity ($L_X-L_{UV}$) relations implication these for cosmological parameter estimation. By simultaneously determining $R-L$ or $L_X-L_{UV}$ relation parameters in six different models, we find that both are standardizable but provide only weak constraints, with data favoring larger current non-relativistic matter density $\Omega_{m0}$ values than most other available data. derive distances each sources models shorter as well standard flat $\Lambda$CDM model distances. This explains why QSO favor measurements. While our sample size is small spans $z$ range, results indicate more work needed determine whether can be used probe.