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Single-field inflation with K-essence model: Predictions, constraints, and theoretical viewpoints

Fereshteh FelegarySchool of Science, Walailak University, Nakhon Si Thammarat, 80160, ThailandThammarong EadkhongSchool of Science, Walailak University, Nakhon Si Thammarat, 80160, ThailandFarruh AtamurotovTashkent State Technical University, Tashkent, 100095, UzbekistanPhongpichit ChannuieCollege of Graduate Studies, Walailak University, Nakhon Si Thammarat, 80160, Thailand
2025en
ABI

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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.

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