标题： 暗能量标量场模型在Weyl型$f(Q,T)$引力中的$w_D-w'_D$分析 显示英文标题

标题： Quintessence scalar field model in Weyl-type $f(Q,T)$ Gravity with $w_D-w'_D$ analysis

摘要： 在本研究中，我们探讨了Weyl型$f(Q,T)$引力中的第五元素宇宙学模型的动力学特性。 此处，$T$表示物质能量-动量张量的迹，$Q$象征非度规张量。 我们提出了一种解场方程的方法，使用形式为$H(z) = H_{0} (1+z)^{1+\alpha+\beta} e^{\left(\frac{- \beta z}{1+z}\right)}$的特定参数化，这描绘了宇宙从减速时代到当前加速情景的必要转变。 通过MCMC分析并用Pantheon、BAO和OHD的联合数据集限制模型，估计模型参数的值为$H_0 = 71.17\pm 0.25 $、$\alpha = -0.663\pm0.030$和$\beta = 1.488\pm0.087$。 我们讨论了所推导模型的许多特征的宇宙行为，如状态方程参数、能量密度和宇宙压力。 此外，我们还探讨了在Weyl $f(Q,T)$引力中的第五元素模型的宇宙学行为。 我们通过 $\omega_D-\omega_D'$分析描述了该模型的宇宙行为。 还使用状态寻址器和急动参数对该模型进行了诊断。 最后，我们讨论了所提出模型的能量条件。 我们的分析表明，该建议模型与最近的研究结果高度一致。 显示英文摘要

摘要： In the present study, we explore the dynamical characteristics of the quintessence cosmological model in Weyl-type $f(Q,T)$ gravity. Here, $T$ represents the trace of the matter energy-momentum tensor, and $Q$ symbolizes the nonmetricity tensor. We propose a solution to the field equation using the specific parametrization in the form$H(z) = H_{0} (1+z)^{1+\alpha+\beta} e^{\left(\frac{- \beta z}{1+z}\right)}$, which depicts the necessary transition of cosmos from decelerating era to the current accelerating scenario. The values of model parameters are estimated as $H_0 = 71.17\pm 0.25 $, $\alpha = -0.663\pm0.030$, and $\beta = 1.488\pm0.087$ using the MCMC analysis and limiting the model with a joint dataset of Pantheon, BAO, and OHD. We discuss the cosmic behavior of many features of the derived model like EoS parameters, energy density, and cosmic pressure. Further, we have also explored the cosmological behavior of the quintessence model in Weyl $f(Q,T)$gravity. We have described the cosmic behavior of the model by $\omega_D-\omega_D'$ analysis. The diagnosis of the model is also performed using state finders and jerk parameters. In the end, we have discussed the energy conditions for the proposed model. Our analysis shows that the suggested model is well consistent with the recent findings.