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We derive the stellar-to-halo mass relations, SHMR, of local blue and red central galaxies separately, as well as the fraction of halos hosting blue/red central galaxies. We find that: 1) the SHMR of central galaxies is segregated by color, with blue centrals having a SHMR above the one of red centrals; at logMh~12, the Ms/Mh ratio of the blue centrals is ~0.05, which is ~1.7 times larger than the value of red centrals. 2) The intrinsic scatters of the SHMRs of red and blue centrals are ~0.14 and ~0.11dex, respectively. The intrinsic scatter of the average SHMR of all central galaxies changes from ~0.20dex to ~0.14dex in the 11.3<logMh<15 range. 3) The fraction of halos hosting blue centrals at Mh=1E11Msun is 87%, but at 2x1E12Msun decays to ~20%, approaching to a few per cents at higher masses. The characteristic mass at which this fraction is the same for blue and red galaxies is Mh~7x1E11Msun. Our results suggest that the SHMR of central galaxies at large masses is shaped by halo mass quenching (likely through shock virial heating and AGN feedback), but group richness also plays an important role: central galaxies living in less dense environments quenched their star formation later or did not quench it yet. At low masses, processes that delay star formation without invoking too strong supernova-driven outflows could explain the high Ms/Mh ratios of blue centrals as compared to those of the scarce red centrals.
By means of the abundance matching technique, we infer the local stellar and baryonic mass-halo mass (Ms-Mh and Mb-Mh) relation for central blue and red galaxies separately in the mass range Ms~10^8.5-10^12.0 Msun. The observational inputs are the SD SS central blue and red Galaxy Stellar Mass Functions reported in Yang et al. 2009, and the measured local gas mass-Ms relations for blue and red galaxies. For the Halo Mass Function associated to central blue galaxies, the distinct LCDM one is used and set up to exclude: (i) the observed group/cluster mass function (blue galaxies are rare as centers of groups/clusters), and (ii) halos with a central major merger at resdshifts z<0.8 (dry late major mergers destroy the disks of blue galaxies). For red galaxies, we take the complement of this function to the total. The obtained mean Ms-Mh and Mb-Mh relations of central blue and red galaxies do not differ significantly from the respective relations for all central galaxies. For Mh>10^11.5 Msun, the Mss of red galaxies tend to be higher than those of blue ones for a given Mh, the difference not being larger than 1.7. For Mh<10^11.5 Msun, this trend is inverted. For blue (red) galaxies: (a) the maximum value of fs=Ms/Mh is 0.021^{+0.016}_{-0.009} (0.034{+0.026}_{-0.015}) and it is attained atlog(Mh/Msun)~12.0 (log(Mh/Msun)~11.9); (b) fspropto Mh (fspropto Mh^3) at the low-mass end while at the high-mass end, fspropto Mh^-0.4 (fspropto Mh^-0.6). The baryon mass fractions, fb=Mb/Mh, of blue and red galaxies reach maximum values of fb=0.028^{+0.018}_{-0.011} and fb=0.034^{+0.025}_{-0.014}, respectively. For Mh<10^11.3 Msun, a much steeper dependence of fb on Mh is obtained for the red galaxies than for the blue ones. We discuss on the differences found in the fs-Mh and fb-Mh relations between blue and red galaxies in the light of of semi-empirical galaxy models.
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