Constraint on the interacting dark energy from the highly redshifted quasar data

Abstract

In this study, we investigated observational constraints on the phenomenological interacting dark energy model ($\\xi{IDE}$) and seek the quantitative analysis of the coincidence problem on the basis of the VLBI observations of the compact structure in 120 intermediate-luminosity quasars (QSO) covering the redshift range of $0.46<z<2.76$, combined with the type Ia supernovae (SNIa), the baryonic acoustic oscillation (BAO), and the cosmic microwave background (CMB) observation from 2018 results. The combined analysis with the full sample and sub-samples of QSO and SNIa defined by different redshifts (120 QSO, 70 low-redshift QSO, 50 high-redshift QSO) show that: (1) As can be seen from the constraint on the two parameters ($\\xi~$, $\\omega$) from three data combinations, the coincidence problem is not alleviated, and the standard $\\Lambda$$CDM$ model without any interaction remains a good fit for the recent observational data; (2) compared with the current SNIa standard candle data, the combination of the intermediate-luminosity radio quasars (SNIa + QSO) provides more stringent constraints on this IDE scenario, which further indicates the potential of intermediate-luminosity quasars acting as an effective cosmological standard ruler at much higher redshifts; (3) there is no clear tension between SNIa and SNIa + QSO (low $z$); (4) when combined with CMB and BAO observations, the derived Hubble constant from CMB + BAO + SNIa + QSO agrees well with that from SNIa + QSO and CMB + BAO + SNIa (within $2\\sigma$). Furthermore, the full combination of different cosmological probes (CMB + BAO + SNIa + QSO) may contribute to alleviate the tension of $H_0$ between the recent Planck and SNIa measurements.