Da. Buote et Cr. Canizares, X-RAY CONSTRAINTS ON THE INTRINSIC SHAPES AND BARYON FRACTIONS OF 5 ABELL CLUSTERS, The Astrophysical journal, 457(2), 1996, pp. 565-577
We analyzed ROSAT PSPC images of the bright, nearby (z < 0.1) galaxy c
lusters A401, A1656 (Coma), A2029, A2199, and A2256 to constrain their
intrinsic shapes and baryon fractions; the intrinsic shapes of these
clusters were analyzed previously by us using Einstein data (see the r
ecent work of Buote & Canizares and Buote). Following Buote & Tsai we
probed the aggregate structure of the clusters on scales of approximat
ely 1.5 h(80)(-1) Mpc to reduce effects of possible substructure on sm
aller scales (less than or equal to a few hundred kiloparsecs). The el
lipticities of the X-ray isophotes are typically epsilon approximate t
o 0.15-0.25 and display negative radial gradients highly significant a
t the 95% confidence limit for all the clusters except Coma. By assumi
ng hydrostatic equilibrium and a variety of mass models, we obtain ell
ipticities epsilon(mass) approximate to 0.40-0.55 for isothermal model
s of the total gravitating matter of the clusters; the epsilon(mass) c
onstraints change by less than 10% upon consideration of the small tem
perature gradients shown by ASCA(Astro-D) to be typical for rich clust
ers; the observed X-ray ellipticity gradients require that mass models
with constant ellipticity have steep density profiles, rho proportion
al to r(-4). Estimates of the gas masses are very insensitive to the e
llipticities of the X-ray isophotes. The clusters in our sample have i
ncreasing fractions of gas mass to total mass with radius and have M(g
as)/M(tot) = (4%-11%)h(80)(-3/2) within a radius 1.5 h(80)(-1) Mpc, in
excellent agreement with the results of White & Fabian and the baryon
catastrophe highlighted in the recent work of White et al. Finally, t
he ellipticities of the dark matter distributions are essentially iden
tical to epsilon(mass) and are consistent with the shapes of dark halo
s predicted by N-body simulations and the shapes of the galaxy isoplet
hs in the clusters in contrast to our previous conclusions using Einst
ein data.