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Paper IPM / P / 17205  


Abstract:  
Interacting dark matterdark 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 SachsWolfe (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 ÎCDM model. Furthermore, we calculate the amplitude of the ISW autopower spectrum as a function of multipole order l for the IDMDE model. The results indicate that the amplitude of the ISW autopower spectrum in the IDMDE model for different phantom dark energy equations of state behaves similar to the one for the ÎCDM model, whereas, for the quintessence dark energy equations of state, the amplitude of the ISWauto power spectrum for the IDMDE model should be higher than the one for the ÎCDM model. Also, it turns out that the corresponding results by different values of the coupling parameter demonstrate that Î¾ is inversely proportional to the amplitude of the ISWauto power spectrum in the IDMDE model. Finally, by employing four different surveys, we calculate the amplitude of the ISWcross power spectrum as a function of multipole order l for the IDMDE model. The results exhibit that the amplitude of the ISWcross power spectrum for the IDMDE model for all values of Ïx is higher than the one obtained for the ÎCDM model. Also, it turns out that the amplitude of the ISWcross power spectrum in the IDMDE model changes inversely with the value of coupling parameter Î¾.
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