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24 April 2024 |
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Article overview
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Is the Number of Giant Arcs in LCDM Consistent With Observations? | G.L. Li
; S. Mao
; Y.P. Jing
; M. Bartelmann
; X. Kang
; M. Meneghetti
; | Date: |
8 Mar 2005 | Subject: | astro-ph | Abstract: | We use high-resolution N-body simulations to study the galaxy-cluster cross-sections and the abundance of giant arcs in the $Lambda$CDM model. Clusters are selected from the simulations using the friends-of-friends method, and their cross-sections for forming giant arcs are analyzed. The background sources are assumed to follow a uniform ellipticity distribution from 0 to 0.5 and to have an area identical to a circular source with diameter $1arcsec$. We find that the optical depth scales as the source redshift approximately as $ au_{1’’} = 2.25 imes 10^{-6}/[1+(zs/3.14)^{-3.42}]$ ($0.63$. The optical depth is sensitive to the source redshift, in qualitative agreement with Wambsganss et al. (2004). However, our overall optical depth appears to be only $sim$ 10% to 70% of those from previous studies. The differences can be mostly explained by different power spectrum normalizations ($sigma_8$) used and different ways of determining the $L/W$ ratio. Finite source size and ellipticity have modest effects on the optical depth. We also found that the number of highly magnified (with magnification $|mu|>10$) and ``undistorted’’ images (with $L/W<3$) is comparable to the number of giant arcs with $|mu|>10$ and $L/W>10$. We conclude that our predicted rate of giant arcs may be lower than the observed rate, although the precise `discrepancy’ is still unclear due to uncertainties both in theory and observations. | Source: | arXiv, astro-ph/0503172 | Services: | Forum | Review | PDF | Favorites |
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