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28 March 2024
 
  » arxiv » 1507.1319

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The Two-Point Correlation Function of Gamma-ray Bursts
Ming-Hua Li ; Hai-Nan Lin ;
Date 6 Jul 2015
AbstractIn this paper, we examine the spacial distribution of gamma-ray bursts (GRBs) using a sample of 373 objects. We subdivide the GRB data into two redshift intervals over the redshift range $0<z< 6.7$. We measure the two-point correlation function (2PCF), $xi(r)$ of the GRBs. In determining the separation distance of the GRB pairs, we consider two representative cosmological models: a cold dark matter universe plus a cosmological constant $Lambda$, with $(Omega_{{ m m}}, Omega_{{ m Lambda}})=(0.28,0.72)$ and an Einstein-de Sitter (EdS) universe, with $(Omega_{{ m m}}, Omega_{{ m Lambda}})=(1,0)$. We find a $z$-decreasing correlation of the GRB distribution, which is in agreement with the predictions of the current structure formation theory. We fit a power-law model $xi(r)=(r/r_0)^{-gamma}$ to the measured $xi(r)$ and obtain an amplitude and slope of $r_0= 1235.2 pm 342.6~h^{-1}$ Mpc and $gamma = 0.80pm 0.19 $ ($1sigma$ confidence level) over the scales $r=200$ to $10^4~h^{-1}$ Mpc. Our result provide a supplement to the measurement of matter correlation on large scales, while the matter distribution below $200~h^{-1}$ Mpc is usually described by the correlation function of galaxies.
Source arXiv, 1507.1319
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