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Title: Constraining Cosmological Parameters Using the Cluster Mass–Richness Relation
Abstract

The cluster mass–richness relation (MRR) is an observationally efficient and potentially powerful cosmological tool for constraining the matter density Ωmand the amplitude of fluctuationsσ8using the cluster abundance technique. We derive the MRR relation usingGalWCat19, a publicly available galaxy cluster catalog we created from the Sloan Digital Sky Survey-DR13 spectroscopic data set. In the MRR, cluster mass scales with richness aslogM200=α+βlogN200. We find that the MRR we derive is consistent with both the IllustrisTNG and mini-Uchuu cosmological numerical simulations, with a slope ofβ≈ 1. We use the MRR we derived to estimate cluster masses from theGalWCat19catalog, which we then use to set constraints on Ωmandσ8. Utilizing the all-member MRR, we obtain constraints of Ωm=0.310.03+0.04andσ8=0.820.04+0.05, and utilizing the red member MRR only, we obtain Ωm=0.310.03+0.04andσ8=0.810.04+0.05. Our constraints on Ωmandσ8are consistent and very competitive with the Planck 2018 results.

 
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Award ID(s):
2205189
NSF-PAR ID:
10470495
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
The Astrophysical Journal
Date Published:
Journal Name:
The Astrophysical Journal
Volume:
955
Issue:
1
ISSN:
0004-637X
Page Range / eLocation ID:
26
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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