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STATISTICAL DETERMINATION OF THE MACHO MASS SPECTRUM

机译:宏观质谱的统计测定

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The mass function of 51 massive compact halo objects (MACHOs) detected toward the Galactic bulge is statistically estimated from Einstein ring crossing times t_E. For a Gaussian mass function, the best-fit parameters are < log m > = - 1.12 and σ_(log m) = 0.57. If the mass function follows a power-law distribution, the best-fit mass cutoff and power are m_(cut) = 0.04 solar mass and p = - 2.1. Both mass spectra indicate that a significant fraction of events are caused by MACHOs in the substellar mass range. Both best determined mass functions are compared with that obtained from Hubble Space Telescope (HST) observations. The power law is marginally favored (2.3 σ) over the Gaussian mass function and significantly favored over the HST mass function (5.5 σ), indicating that MACHOs have a different mass function from stars in the solar neighborhood. In addition, the fact that all the models have very poor fits to the longest four events, with t_E ≥ 70 days, remains a puzzle.
机译:从爱因斯坦环的穿越时间t_E统计地估计出朝向银河凸出的51个块状紧密晕物体(MACHO)的质量函数。对于高斯质量函数,最佳拟合参数为 =-1.12和σ_(log m)= 0.57。如果质量函数遵循幂律分布,则最合适的质量截止值和功率为m_(cut)= 0.04太阳质量,p =-2.1。这两个质谱图都表明事件的很大一部分是由亚星质量范围内的MACHO引起的。将两个最佳确定的质量函数与从哈勃太空望远镜(HST)观测获得的质量函数进行比较。幂律相对于高斯质量函数略受偏爱(2.3σ),而相对于HST质量函数(5.5σ)则偏偏偏幂,这表明MACHO具有与太阳附近恒星不同的质量函数。此外,所有模型对t_E≥70天的最长四个事件的拟合度都很差,这仍然是一个难题。

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