The cluster mass function from early Sloan Digital Sky Survey data: Cosmological implications

Neta A. Bahcall, Feng Dong, Paul Bode, Rita Kim, James Annis, Timothy A. McKay, Sarah Hansen, Josh Schroeder, James Gunn, Jeremiah P. Ostriker, Marc Postman, Robert C. Nichol, Chris Miller, Tomotsugu Goto, Jon Brinkmann, Gillian R. Knapp, Don O. Lamb, Donald P. Schneider, Michael S. Vogeley, Donald G. York

Research output: Contribution to journalArticlepeer-review

124 Scopus citations


The mass function of clusters of galaxies is determined from 400 deg 2 of early commissioning imaging data of the Sloan Digital Sky Survey using ∼300 clusters in the redshift range z = 0.1-0.2. Clusters are selected using two independent selection methods: a matched filter and a red-sequence color-magnitude technique. The two methods yield consistent results. The cluster mass function is compared with large-scale cosmological simulations. We find a best-fit cluster normalization relation of σ 8Ωm0.6 = 0.33 ± 0.03 (for 0.1 ≲ Ωm ≲ 0.4) or, equivalently, σ8 = (0.16/Ωm)0.6. The amplitude of this relation is significantly lower than the previous canonical value, implying that either Ωm is lower than previously expected (Ωm = 0.16 if σ8 = 1) or σ8 is lower than expected (σ8 = 0.7 if Ωm = 0.3). The shape of the cluster mass function partially breaks this classic degeneracy. We find best-fit parameters of Ωm = 0.19±0.07 0.08 and σ8 = 0.9±0.2 0.3. High values of Ωm (≳ 0.4) and low σ8 (≲ 0.6) are excluded at ≳ 2 σ.

Original languageEnglish (US)
Pages (from-to)182-190
Number of pages9
JournalAstrophysical Journal
Issue number1 I
StatePublished - Mar 1 2003

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


  • Cosmological parameters
  • Cosmology: observations
  • Cosmology: theory
  • Dark matter
  • Galaxies: clusters: general
  • Large-scale structure of universe


Dive into the research topics of 'The cluster mass function from early Sloan Digital Sky Survey data: Cosmological implications'. Together they form a unique fingerprint.

Cite this