## Abstract

We use high-quality Subaru/Suprime-Cam imaging data to conduct a detailed weak lensing study of the distribution of dark matter in a sample of 30 X-ray luminous galaxy clusters at 0.15 ≤ z ≤ 0.3. A weak lensing signal is detected at high statistical significance in each cluster, the total signal-to-noise ratio of the detections ranging from 5 to 13. Comparing spherical models to the tangential distortion profiles of the clusters individually, we are unable to discriminate statistically between a singular isothermal sphere (SIS) and Navarro, Frenk, and White (NFW) models. However, when the tangential distortion profiles are combined and then models are fitted to the stacked profile, the SIS model is rejected at 6σ and 11 σ, respectively, for low (M_{vir} < 6 × 10^{14} h ^{-1} M_{ȯ}) and high (M_{vir} > 6 × 10^{14} h^{-1} M_{ȯ}) mass bins. We also used individual cluster NFW model fits to investigate the relationship between the cluster mass and the concentration, finding that the concentration (c _{vir}) decreases with increasing cluster mass (M_{vir}). The best-fit c_{vir}-M_{vir} relation is: c_{vir}(M _{vir}) = 8.75_{-2.89}^{+4.13} × (M _{vir}/10^{14}h^{-1} M_{ȯ}) ^{-α} with α ≈ 0.40±0.19: i.e., a non-zero slope is detected at 2σ significance. This relation gives a concentration of c_{vir} = 3.48_{-1.15}^{+1.65} for clusters with M _{vir} = 10^{15} h^{-1}M^{ȯ}, which is inconsistent at 4 σ significance with the values of c_{vir} ∼ 10 reported for strong-lensing-selected clusters. We have found that the measurement error on the cluster mass is smaller at higher over-densities, Δ ≃ 500-2000, than at the virial over-density, A_{vir} ≃ 110; typical fractional errors at Δ ≃ 500-2000 are improved to σ(M_{Δ})/M_{Δ} ≃ 0.1-0.2 compared with 0.2-0.3 at Δ_{vir}. Furthermore, comparing the 3D spherical mass with the 2D cylinder mass, obtained from the aperture mass method at a given aperture radius, θΔ, reveals M_{2D}(< θ_{Δ})/M_{3d}(< r_{Δ} = D1θ_{Δ}) ≃ 1-46 and 1.32 for Δ = 500 and Δ_{vir}, respectively. The amplitude of this offset agrees well with that predicted by integrating an NFW model of cluster-scale halos along the line-of-sight.

Original language | English |
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Pages (from-to) | 811-870 |

Number of pages | 60 |

Journal | Publications of the Astronomical Society of Japan |

Volume | 62 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2010 |

## Keywords

- Cosmology: Observations
- Dark matter
- Galaxies: Clusters
- Gravitational lensing

## ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science