Observational constraints on interactions between dark energy and dark matter with momentum and energy transfers

Abstract

We place observational constraints on a dark energy (DE) model in which a quintessence scalar field $\varphi$ is coupled to dark matter (DM) through momentum and energy exchanges.The momentum transfer is weighed by an interaction between the field derivative and DM four velocity with a coupling constant $\beta$, whereas the energy exchange is characterized by an exponential scalar-field coupling to the DM density with a coupling constant $Q$. A positive coupling $\beta$ leads to the suppression for the growth of DM density perturbations at low redshifts, whose property offers a possibility for resolving the ${\sigma }_8$ tension problem. A negative coupling $Q$ gives rise to a $\varphi$-matter-dominated epoch, whose presence can reduce the sound horizon around the Cosmic Microwave Background (CMB) decoupling epoch. Using the data of Planck 2018, 12-th Sloan Digital Sky Survey, Phantheon supernovae samples, and 1-year dark energy survey, we find that the two couplings are constrained to be $\beta =0.332_{-0.237}^{+1.246}$ and $Q=-0.0312_{-0.0085}^{+0.0312}$ at 68\,\% confidence level (CL). Thus, there is an interesting observational signature of the momentum exchange ($\beta \ne 0$) between DE and DM, with a peak of the probability distribution of the energy transfer coupling at $Q<0$.

16 pages, 3 figures

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• Background dynamics and observational constraints of flat and non-flat $\Lambda (t)$CDM models from $H(z)$ and DESI DR2 BAO measurements
• Revisiting observational constraints on coupled exponential quintessence with energy and momentum transfers: degeneracy with massive neutrinos