Scaling relations of the slightly self-interacting cold dark matter in galaxies and clusters

TL;DR

This paper derives scaling relations for slightly self-interacting cold dark matter in galaxies and clusters, showing good agreement with observations and suggesting a universal optical depth that characterizes core structures.

Contribution

It introduces specific scaling relations based on SICDM that align with observational data, supporting the viability of SICDM in explaining dark matter cores.

Findings

Scaling relations match observational data in galaxies and clusters.

Existence of a universal critical optical depth $ au_c$.

SICDM effectively explains core-like structures in dark matter profiles.

Abstract

Recent observations in galaxies and clusters indicate dark matter density profiles exhibit core-like structures which contradict to the numerical simulation results of collisionless cold dark matter. The idea of self-interacting cold dark matter (SICDM) has been invoked to solve the discrepancies between the observations and numerical simulations. In this article, I derive some important scaling relations in galaxies and clusters by using the long-range SICDM model. These scaling relations give good agreements with the empirical fittings from observational data in galaxies and clusters if the dark matter particles are only slightly self-interacting. Also, there may exist a universal critical optical depth $\tau_c$ that characterizes the core-like structures. These results generally support the idea of SICDM to tackle the long-lasting dark matter problem.