Study of parametrized dark energy models with a general non-canonical scalar field

In this paper, we consider various dark energy models in the framework of a non-canonical scalar field with a Lagrangian density of the form L(phi, X) = f (phi) X (X/M-Pl(4))(alpha-1) - V(phi), which provides the standard canonical scalar field model for alpha = 1 and f (phi) = 1. In this particular non-canonical scalar field model, we carry out the analysis for alpha = 2. We then obtain cosmological solutions for constant as well as variable equation of state parameter (omega(phi)(z)) for dark energy. We also perform the data analysis for three different functional forms of omega(phi)(z) by using the combination of SN Ia, BAO, and CMB datasets. We have found that for all the choices of omega(phi)(z), the SN Ia + CMB/BAO dataset favors the past decelerated and recent accelerated expansion phase of the universe. Furthermore, using the combined dataset, we have observed that the reconstructed results of omega(phi)(z) and q(z) are almost choice independent and the resulting cosmological scenarios are in good agreement with the Lambda CDM model (within the 1 sigma confidence contour). We have also derived the form of the potentials for each model and the resulting potentials are found to be a quartic potential for constant omega(phi) and a polynomial in phi for variable omega(phi).