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Paper   IPM / Physic / 17205
School of Physics
  Title:   The integrated Sachs–Wolfe effect in interacting dark matter–dark energy models
  Author(s): 
1.  M. Ghodsi Yengejeh
2.  S. Fakhry
3.  J. T. Firouzjaee
4.  H. Fathi
  Status:   Published
  Journal: Phys. Dark Univ.
  Vol.:  39
  Year:  2023
  Pages:   101144
  Supported by:  IPM
  Abstract:
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 ΛCDM 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 ΛCDM 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 ΛCDM model. Also, it turns out that the corresponding results by different values of the coupling parameter demonstrate that ξ 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 ωx is higher than the one obtained for the ΛCDM 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 ξ.

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