2001MNRAS.325...77P

Query : 2001MNRAS.325...77P

2001MNRAS.325...77P - Mon. Not. R. Astron. Soc., 325, 77-88 (2001/July-3)

Power-spectrum normalization from the local abundance of rich clusters of galaxies.

PIERPAOLI E., SCOTT D. and WHITE M.

Abstract (from CDS):

The number density of rich galaxy clusters still provides the most robust way of normalizing the power spectrum of dark matter perturbations on scales relevant to large-scale structure. We revisit this constraint in the light of several recent developments: (1) the availability of well-defined samples of local clusters with relatively accurate X-ray temperatures; (2) new theoretical mass functions for dark matter haloes, which provide a good fit to large numerical simulations; (3) more accurate mass-temperature relations from larger catalogues of hydrodynamical simulations; (4) the requirement to consider closed as well as open and flat cosmologies to obtain full multiparameter likelihood constraints for CMB and SNe studies. We present a new sample of clusters drawn from the literature and use this sample to obtain improved results on σ8, the normalization of the matter power spectrum on scales of 8h–1Mpc, as a function of the matter density and cosmological constant in a universe with general curvature. We discuss our differences with previous work, and the remaining major sources of uncertainty. Final results on the normalization, approximately independent of power spectrum shape, can be expressed as constraints on σ at an appropriate cluster normalization scale RCl. We provide fitting formulas for RCl and σ(RCl) for general cosmologies, as well as for σ8 as a function of cosmology and shape parameter Γ. For flat models we find approximately σ8≃(0.495-0.037+0.034)ΩM-0.60 for Γ=0.23, where the error bar is dominated by uncertainty in the mass-temperature relation.

Abstract Copyright: The Royal Astronomical Society

Journal keyword(s): galaxies: clusters: general - cosmology: theory - large-scale structure of Universe - X-rays: galaxies: clusters

CDS comments: p.83: 2A 0336 not identified, table 4: EXO 0422 =EXO 0422-086, RX J1733 =RX J1733.2+7045, SC 1327 =SC 1325-31.1

Simbad objects: 73

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Number of rows : 73
N Identifier Otype ICRS (J2000)
RA 		ICRS (J2000)
DEC 		Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2026 		#notes
1 ACO 2734 ClG 00 11 21.60 -28 51 16.6           ~ 156 0
2 ACO 85 ClG 00 41 36.21 -09 19 30.4           ~ 974 0
3 ZwCl 0040+2404 ClG 00 43 52.0 +24 24 21     17.2     ~ 42 0
4 ACO 119 ClG 00 56 08.57 -01 12 00.8           ~ 577 2
5 ACO 133 ClG 01 02 41.5 -21 52 53           ~ 391 1
6 ACO 168 ClG 01 15 07.58 +00 19 10.8           ~ 379 2
7 ACO 193 ClG 01 25 07.3 +08 41 36           ~ 192 0
8 ACO 376 ClG 02 45 48 +36 51.6           B8.5 161 1
9 ACO 399 ClG 02 57 56.4 +13 00 59           ~ 420 0
10 ACO 401 ClG 02 58 50.3 +13 34 07           ~ 592 0
11 ACO 3112 ClG 03 17 52.9 -44 15 06           ~ 329 1
12 ACO 3158 ClG 03 43 07.5 -53 38 09           ~ 327 0
13 ACO S 405 ClG 03 51 32.8 -82 13 15           ~ 50 0
14 ACO 478 ClG 04 13 24.8 +10 27 52           ~ 522 0
15 ClG 0422-09 ClG 04 25 51.02 -08 33 38.5           ~ 97 0
16 ACO 3266 ClG 04 31 26.4 -61 25 17           ~ 447 0
17 ACO 496 ClG 04 33 40.8 -13 14 34           ~ 728 2
18 ACO 3376 ClG 06 01 25.000 -39 59 51.00           ~ 334 0
19 ACO 3391 ClG 06 26 15.4 -53 40 52           ~ 222 1
20 ACO 3395 ClG 06 27 31.1 -54 23 58           ~ 229 0
21 ACO 576 ClG 07 21 24.1 +55 44 20           ~ 312 1
22 ACO 754 ClG 09 09 14.8 -09 40 35           ~ 695 1
23 ACO 780 ClG 09 18 30 -12 15.7           ~ 469 0
24 ZwCl 1215+0400 ClG 12 17 43.62 +03 38 51.5           ~ 169 0
25 ACO 3528 ClG 12 54 18.2 -29 01 16           ~ 166 1
26 ACO 1644 ClG 12 57 11.6 -17 24 34           ~ 391 1
27 ACO 3532 ClG 12 57 19.2 -30 22 13           ~ 185 2
28 ACO 1650 ClG 12 58 42.0 -01 45 45           ~ 325 0
29 ACO 1651 ClG 12 59 27.3 -04 10 49           ~ 307 0
30 ACO 1736 ClG 13 26 52.1 -27 06 33           ~ 268 2
31 ACO 3558 ClG 13 28 03.2 -31 31 35           ~ 476 2
32 ACO 3560 ClG 13 32 23.7 -33 08 21           ~ 145 1
33 ACO 3562 ClG 13 33 31.8 -31 40 23           ~ 337 1
34 ACO 1775 ClG 13 41 50.60 +26 21 10.6           ~ 324 0
35 ACO 3571 ClG 13 47 32.4 -32 50 12           ~ 308 2
36 ACO 1795 ClG 13 48 47.4 +26 34 55           ~ 1330 0
37 ACO 1800 ClG 13 49 27.19 +28 04 44.6           ~ 127 0
38 ACO 1831 ClG 13 59 19.42 +27 58 08.2           ~ 166 0
39 ACO 2029 ClG 15 10 54.2 +05 44 23           ~ 1020 0
40 ACO 2052 ClG 15 16 41.64 +07 01 45.5           ~ 756 1
41 ACO 2061 ClG 15 21 19.90 +30 37 13.0           ~ 214 1
42 ACT-CL J1521.8+0742 ClG 15 21 48.8 +07 43 41     15.13     ~ 326 0
43 ACO 2065 ClG 15 22 22.7 +27 44 20           ~ 398 0
44 ACO 2063 ClG 15 23 01.8 +08 38 22           ~ 414 2
45 ACO 2107 ClG 15 39 39.04 +21 46 57.8           ~ 270 0
46 ACO 2142 ClG 15 58 26.5 +27 13 52           ~ 825 0
47 ACO 2147 ClG 16 02 11.96 +15 55 11.5           ~ 416 0
48 ACO 2151 ClG 16 05 15.0 +17 44 55           ~ 594 3
49 ACO 2199 ClG 16 28 34.5 +39 32 26           ~ 1206 1
50 ACO 2256 ClG 17 03 37.5 +78 37 23           ~ 928 1
51 ACO 2249 ClG 17 09 36.76 +34 28 04.1           ~ 136 0
52 ACO 2255 ClG 17 12 56.0 +64 04 06           ~ 605 0
53 RX J1733.2+7045 GrG 17 33 17.0 +70 45 33           ~ 3 0
54 ZwCl 1742+3306 ClG 17 44 16.2753 +32 59 55.115           ~ 93 0
55 ACO 3667 ClG 20 12 33.68 -56 50 26.3           ~ 676 1
56 ACO 3695 ClG 20 34 47.7 -35 49 39           ~ 96 2
57 ACO 3716 ClG 20 51 16.7 -52 41 43           ~ 123 1
58 Z 375-15 BiC 21 13 55.918 +02 33 55.39   15.1       ~ 67 1
59 ACO 3809 ClG 21 46 57.5 -43 54 06           ~ 99 0
60 ACO 3822 ClG 21 54 06.2 -57 50 49           ~ 98 0
61 ACO 3880 ClG 22 27 49.5 -30 34 40           ~ 104 2
62 ACO 3921 ClG 22 49 59.0 -64 25 48           ~ 165 1
63 ACO 2495 ClG 22 50 17.10 +10 55 01.2           ~ 87 0
64 ZwCl 2307+0713 ClG 23 10 26.6 +07 35 13           ~ 60 0
65 ACO S 1101 ClG 23 13 58.5 -42 43 39           ~ 272 1
66 ACO 2572 ClG 23 18 31.2 +18 41 52           ~ 142 1
67 ACO 2589 ClG 23 24 00.5 +16 49 29           ~ 327 1
68 ACO 2593 ClG 23 24 27.15 +14 33 40.2           ~ 231 0
69 ACO 2634 ClG 23 38 18.4 +27 01 37           ~ 515 2
70 ACO 2657 ClG 23 44 51.0 +09 08 40           ~ 280 3
71 ACO 4038 ClG 23 47 31.1 -28 12 10           ~ 349 3
72 ACO 2665 ClG 23 50 50.6 +06 09 00           ~ 106 0
73 ACO 4059 ClG 23 57 02.2 -34 45 58           ~ 400 1

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