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arXiv 2104.03306astro-ph.GAastro-ph.EPastro-ph.SR
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基于Gaia和微透镜数据的一个朝向银河系隆起的参数模型

A Parametric Galactic Model toward the Galactic Bulge Based on Gaia and Microlensing Data

Naoki Koshimoto, Junichi Baba, David P. Bennett

摘要:

我们开发了一个参数化的银河系模型,通过拟合盖亚DR2盘速度,VVV自行,BRAVA径向速度,OGLE-III红团星计数,OGLE-IV星计数和微透镜率的空间分布,优化用于微透镜研究。我们包括银河系盘星的不对称漂移和速度色散对银河系位置的依赖关系的运动学模型,这在大多数以前的模型中被忽略用于微透镜研究。我们表明,我们的模型预测的微透镜参数分布显着不同,通常在以前的研究中使用的。我们估计各种基本模型参数为我们的银河系通过我们的建模,包括初始质量函数(IMF)在内部星系。从OGLE-IV调查的恒星计数和微透镜事件的时间尺度分布的组合约束,除了在隆起恒星质量的先验,使我们能够成功地测量国际货币基金组织的斜率使用一个破碎的幂律形式在一个广泛的质量范围内,$α_{\rm bd}=0.22^{+0.20}_{-0.55}$的$M<0.08\,M_{\odot}$,$α_{\rm ms} = 1.16^{+0.08}_{-0.15}$的$0.08\,M_{\odot}\leq\,M<M_{\rm br}$,$α_{\rm hm} = 2.32^{+0.14}_{-0.10}$的$M\geq\,M_{\rm br}$,以及在$M_{\rm br} = 0.90^{+0.05}_{-0.14} \, M_{\odot}$的突破质量。这是显着不同的Kroupa国际货币基金组织的本地恒星,但类似的Zoccali国际货币基金组织测量的隆起光度函数。我们还估计了$28\pm7$\ %的隆起区域的暗物质质量分数,这可能大于以前的估计。由于我们的模型是纯参数的,它可以普遍适用于使用本文提供的参数。

英文摘要:

We developed a parametric Galactic model toward the Galactic bulge by fitting to spatial distributions of the Gaia DR2 disk velocity, VVV proper motion, BRAVA radial velocity, OGLE-III red clump star count, and OGLE-IV star count and microlens rate, optimized for use in microlensing studies. We include the asymmetric drift of Galactic disk stars and the dependence of velocity dispersion on Galactic location in the kinematic model, which has been ignored in most previous models used for microlensing studies. We show that our model predicts a microlensing parameter distribution significantly different from those typically used in previous studies. We estimate various fundamental model parameters for our Galaxy through our modeling, including the initial mass function (IMF) in the inner Galaxy. Combined constraints from star counts and the microlensing event timescale distribution from the OGLE-IV survey, in addition to a prior on the bulge stellar mass, enable us to successfully measure IMF slopes using a broken power-law form over a broad mass range, $α_{\rm bd}=0.22^{+0.20}_{-0.55}$ for $M<0.08\,M_{\odot}$, $α_{\rm ms} = 1.16^{+0.08}_{-0.15}$ for $0.08\,M_{\odot}\leq\,M<M_{\rm br}$, and $α_{\rm hm} = 2.32^{+0.14}_{-0.10}$ for $M\geq\,M_{\rm br}$, as well as a break mass at $M_{\rm br} = 0.90^{+0.05}_{-0.14} \, M_{\odot}$. This is significantly different from the Kroupa IMF for local stars, but similar to the Zoccali IMF measured from a bulge luminosity function. We also estimate the dark matter mass fraction in the bulge region of $28\pm7$\% which could be larger than a previous estimate. Because our model is purely parametric, it can be universally applied using the parameters provided in this paper.

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