We present the cross-correlation function of MgII absorbers with respect to a volume-limited sample of luminous red galaxies (LRGs) at z=0.45-0.60 using the largest MgII absorber sample and a new LRG sample from SDSS DR7. We present the clustering signal of absorbers on projected scales r_p = 0.3-35 Mpc/h in four Wr(2796) bins spanning Wr(2796)=0.4-5.6A. We found that on average MgII absorbers reside in halos < log M_h > approx 12.1, similar to the halo mass of an L_* galaxy. We report that the weakest absorbers in our sample with W_r(2796)=0.4-1.1A reside in relatively massive halos with < log M_h > approx 12.5^{+0.6}_{-1.3}, while stronger absorbers reside in halos of similar or lower masses < log M_h > approx 11.6^{+0.9}. We compared our bias data points, b, and the frequency distribution function of absorbers, f_{W_r}, with a simple model incorporating an isothermal density profile to mimic the distribution of absorbing gas in halos. We also compared the bias data points with Tinker & Chen (2008) who developed halo occupation distribution models of MgII absorbers that are constrained by b and f_{W_r}. The simple isothermal model can be ruled at a approx 2.8sigma level mostly because of its inability to reproduce f_{W_r}. However, b values are consistent with both models, including TC08. In addition, we show that the mean b of absorbers does not decrease beyond W_r(2796) approx 1.6A. The flat or potential upturn of b for Wr(2796) gtrsim 1.6A absorbers suggests the presence of additional cool gas in massive halos.
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