In this paper, a well-motivated parameterization of the Hubble parameter (H) is revisited that renders two models of dark energy showing some intriguing features of the late-time accelerating Universe. A general quintessence field is considered as a source of dark energy. Tighter constraints using recently updated cosmic observational datasets for the considered models have been obtained. The two models described here show a nice fit to the considered uncorrelated Hubble datasets, Standard candles, Gamma Ray Bursts, Quasars, and uncorrelated Baryonic Acoustic Oscillations datasets. Using the constrained values of the model parameters, some features of the late-time accelerating models and obtained the present value of the deceleration parameter (q₀), the present value of the Hubble parameter (H₀) and the transition redshift ($z_t$) from deceleration to acceleration have been discussed. The current value of the deceleration parameter for both models is consistent with the Planck 2018 results. The evolution of the geometrical and physical parameters is discussed through graphical representations for both models with some diagnostic analysis. The statistical analysis performed here shows greater results and overall, the outcomes of this investigation are superior to those previously found.

中文翻译：

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暗能量精髓模型的模型独立研究：分析和观测约束

在本文中，重新审视了哈勃参数（ H ）的一个有充分动机的参数化，它呈现了两个暗能量模型，显示了晚期加速宇宙的一些有趣特征。一般的精气场，都被认为是暗能量的来源。使用最近更新的宇宙观测数据集对所考虑的模型进行了更严格的约束。这里描述的两个模型非常适合所考虑的不相关的哈勃数据集、标准烛光、伽马射线爆发、类星体和不相关的重子声振荡数据集。利用模型参数的约束值，分析了后期加速模型的一些特征，得到了减速参数的现值（q ₀）、哈勃参数的现值（H ₀）和跃迁红移（$z_t$）从减速到加速已经被讨论了。两个模型的减速参数当前值与 Planck 2018 结果一致。通过两个模型的图形表示和一些诊断分析，讨论了几何和物理参数的演变。这里进行的统计分析显示了更好的结果，总体而言，本次调查的结果优于之前发现的结果。