Abstract

This work investigates a single-field inflationary model - a specific class of K-essence models - in which a coupling term exists between the canonical Lagrangian and the potential. This coupling term influences key inflationary parameters such as the power spectral index, the tensor-to-scalar ratio, the Hubble parameter, the equation of state parameter, and the slow-roll parameter. By solving the equations both numerically and analytically, we explore how this modification affects inflationary dynamics. Our results indicate that the coupling term, α , reduces inflationary parameters such as the tensor-to-scalar ratio, r , and improves the consistency with observational constraints from Planck and BICEP / Keck at confidence levels 68 % and 95 %. These findings show that the studied model provides a promising alternative for describing early universe dynamics while aligning with recent cosmological observations.