标题： 相互作用暗物质-暗能量模型中的积分萨克斯-沃尔夫效应 显示英文标题

标题： The Integrated Sachs-Wolfe Effect in Interacting Dark Matter-Dark Energy Models

摘要： 相互作用暗物质-暗能量（IDMDE）模型可以被视为可能影响宇宙结构的当前挑战之一。 在本工作中，我们研究了IDMDE模型中的积分萨克斯-沃尔科夫（ISW）效应。 为此，我们首先引入了一个IDMDE模型的理论框架。 此外，我们简要讨论了IDMDE模型的稳定性条件，并通过指定能量密度转移率的一个简单函数形式，计算了扰动方程。 接下来，我们计算了IDMDE模型中物质功率谱的幅度，并将其与从$\Lambda$CDM 模型获得的相应结果进行比较。 此外，我们计算了IDMDE模型中ISW自功率谱的幅度作为多极阶数 l 的函数。 结果表明，对于不同的幻影暗能量状态方程，IDMDE 模型中 ISW 自功率谱的幅度与$\Lambda$CDM 模型中的幅度类似，而对于焦质暗能量状态方程，IDMDE 模型中 ISW 自功率谱的幅度应高于$\Lambda$CDM 模型中的幅度。 此外，结果还表明，通过不同耦合参数值得到的结果显示，$\xi$与 IDMDE 模型中 ISW 自功率谱的幅度成反比。 最后，通过使用四种不同的调查，我们计算了 IDME 模型中 ISW 交叉功率谱的幅度作为多极阶数$l$的函数。 结果表明，对于所有$\omega_{\rm x}$值，IDME 模型中 ISW 交叉功率谱的幅度都高于$\Lambda$CDM 模型中得到的幅度。 此外，IDMDE模型中ISW交叉功率谱的幅度与耦合参数$\xi$的值成反比变化。 显示英文摘要

摘要： Interacting dark matter-dark energy (IDMDE) models can be taken to account as one of the present challenges that may affect the cosmic structures. In this work, we study the integrated Sachs-Wolfe (ISW) effect in IDMDE models. To this end, we initially introduce a theoretical framework for IDMDE models. Moreover, we briefly discuss the stability conditions of IDMDE models and by specifying a simple functional form for the energy density transfer rate, we calculate the perturbation equations. In the following, we calculate the amplitude of the matter power spectrum for the IDMDE model and compare it with the corresponding result obtained from the $\Lambda$CDM model. Furthermore, we calculate the amplitude of the ISW auto-power spectrum as a function of multipole order l for the IDMDE model. The results indicate that the amplitude of the ISW auto-power spectrum in the IDMDE model for different phantom dark energy equations of state behaves similar to the one for the $\Lambda$CDM model, whereas, for the quintessence dark energy equations of state, the amplitude of the ISW-auto power spectrum for the IDMDE model should be higher than the one for the $\Lambda$CDM model. Also, it turns out that the corresponding results by different values of the coupling parameter demonstrate that $\xi$ is inversely proportional to the amplitude of the ISW-auto power spectrum in the IDMDE model. Finally, by employing four different surveys, we calculate the amplitude of the ISW-cross power spectrum as a function of multipole order $l$ for the IDMDE model. The results exhibit that the amplitude of the ISW-cross power spectrum for the IDMDE model for all values of $\omega_{\rm x}$ is higher than the one obtained for the $\Lambda$CDM model. Also, it turns out that the amplitude of the ISW-cross power spectrum in the IDMDE model changes inversely with the value of coupling parameter $\xi$.