Time Delays for the Giant Quadruple Lensed Quasar SDSS J1004+4112: Prospects for Determining the Density Profile of the Lensing Cluster
Time Delays for the Giant Quadruple Lensed Quasar SDSS J1004+4112: Prospects for Determining the Density Profile of the Lensing Cluster
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巨型四透镜类星体 SDSS J1004 4112 的时间延迟：确定透镜团密度分布的前景
DOI：
10.1093/pasj/58.2.271
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发表时间：
2006
影响因子：
2.3
通讯作者：
M. Oguri
中科院分区：
文献类型：
--
作者：
Yozo Kawano;M. Oguri
我们研究了大分离引力透镜类星体 SDSS J1004+4112 的时间延迟对透镜团内部质量分布的依赖性。采用最内层密度剖面参数化为\rho \propto r^{-\alpha}的质量模型，推导出一系列能够拟合观测数据的质量模型，然后计算时滞的概率分布函数。我们发现较大的 α 具有较长的时间延迟、概率分布较高端的较长尾部以及较大的模型不确定性。时间延迟的比率稍微取决于斜率α。其中，图像C和A（或B）之间的时间延迟对内斜率几乎没有依赖性，特别是当时间延迟很短时。时间延迟对 α 的依赖性可以通过线性形式很好地拟合，这反映了质量分布和时间延迟之间众所周知的简并性。我们执行蒙特卡罗模拟来说明内斜率如何受到时间延迟测量的限制。我们发现超过一时延迟的测量结果会对内斜率产生相当严格的约束（\sigma_{\alpha} \lesssim 0.25），而只有一时延迟无法很好地确定内斜率。我们的结果表明，尽管透镜簇很复杂，但时间延迟确实可以作为确定质量分布的强大工具。
We investigate the dependence of the time delays for the large-separation gravitationally lensed quasar SDSS J1004+4112 on the inner mass profile of the lensing cluster. Adopting the mass model whose innermost density profile is parameterized as \rho \propto r^{-\alpha}, we derive a series of mass models which can fit observational data and then compute the probability distribution functions of time delays. We find that larger \alpha has longer time delays, longer tails at the higher end of the probability distribution, and larger model uncertainties. The ratios of time delays slightly depend on the slope \alpha. Among others, time delays between images C and A (or B) have little dependence on the inner slope, particularly when the time delays are short. The dependence of time delays on \alpha is well fitted by a linear form, which reflects well-known degeneracy between the mass profile and time delays. We perform a Monte-Carlo simulation to illustrate how well the inner slope can be constrained from measurements of time delays. We find that measurements of more than one time delays result in reasonably tight constraints on the inner slope (\sigma_{\alpha} \lesssim 0.25), while only one time delay cannot determine the inner slope very well. Our result indicates that time delays indeed serve as a powerful tool to determine the mass profile, despite the complexity of the lensing cluster.
SDSS J102111.02 491330.4：新发现的引力透镜类星体
DOI：
--
发表时间：
2006
期刊：
The Astronomical Journal 131・1
影响因子：
--
作者：
Pindor;Bart et al.
通讯作者：
Bart et al.
DOI：
10.1086/452633
发表时间：
2005-07
期刊：
The Astrophysical Journal Letters
影响因子：
--
作者：
K. Sharon;E. Ofek;Graham P. Smith;T. Broadhurst;D. Maoz;C. Kochanek;M. Oguri;Y. Suto;N. Inada;E. Falco
通讯作者：
K. Sharon;E. Ofek;Graham P. Smith;T. Broadhurst;D. Maoz;C. Kochanek;M. Oguri;Y. Suto;N. Inada;E. Falco