Observational constraints on freezing quintessence in a nonlinear f(R,Lm) gravity

In this paper, we investigate the freezing quintessence scenario in late-time cosmic expansion using a nonlinear [Formula: see text] gravity model, [Formula: see text], where [Formula: see text] is a free parameter. We consider a solution for this model using an appropriate parametrization of the scale factor, and then the model is constrained by observational datasets, including CC, Pantheon[Formula: see text] (SN), and CC[Formula: see text][Formula: see text][Formula: see text]SN[Formula: see text][Formula: see text][Formula: see text]BAO. Our analysis yields results aligning closely with observational data. The Hubble parameter, deceleration parameter, matter-energy density, and EoS parameter of our model exhibit expected trends over cosmic time, supporting its physical validity. Furthermore, the model demonstrates consistency with the [Formula: see text]CDM model in late times, displaying freezing behavior in the [Formula: see text] plane and stability against density perturbations. Our findings suggest that the modified [Formula: see text] gravity model is a credible approach to describing the universe’s accelerating phase.