Exploring the possibility of interacting quintessence model as an alternative to the \(\Lambda \)CDM model

This study examines interacting quintessence dark energy models and their observational constraints for a general parameterization of the quintessence potential, which encompasses a broad range of popular potentials. Four different forms of interactions are considered. The analysis is done by expressing the system as a set of autonomous equations for each interaction. The Bayesian Model Comparison has been used to compare these models with the standard Lambda Cold Dark Matter (\(\Lambda \)CDM) model. Our analysis shows positive and moderate evidence for the interacting models over the \(\Lambda \)CDM model. We also report the status of the Hubble tension for these models, even though there is an increment in the best-fit value of the Hubble parameters, these models can not resolve the Hubble tension.