Non-adiabatic particle production scenario in algebraically coupled quintessence field with dark matter fluid

We investigate the dynamics of an algebraically coupled quintessence field with a dark matter fluid, considering a scenario involving non-adiabatic particle production through the action principle by modifying the interaction Lagrangian. The interaction parameter serves as the source of dark matter particles and entropy production. As particle creation occurs due to the interaction between the field and fluid sectors, the system manifests additional pressure. Our analysis includes studying the system's dynamics by considering an exponential type of interaction corresponding to the field's exponential potential. We assess the system's background dynamics using the dynamical system stability technique and obtain the necessary constraints on the model parameters. We also determine the best-fit values of the model parameters against OHD+Pantheon+ data by adopting a data analysis technique and compare the evidence to $\Lambda$CDM. Based on the AIC information criterion, the current model shows strong support; however, the BIC does not show very strong support.
Comment: 33 pages, 33 figures, and 3 tables. A data analysis section has been added