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arXiv 0912.0709astro-ph.HEastro-ph.CO
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斯威夫特伽马射线暴的光度函数和速率

The luminosity function and the rate of Swift's Gamma Ray Bursts

David Wanderman, Tsvi Piran

摘要:

我们直接反演了观测到的长雨燕伽玛暴的红移-光度分布,得到了它们的速率函数和光度函数。我们的最佳拟合率由一个破幂律来描述,当0<z<3时,它的增长率为(1+z)^2.1 {+0.5-0.6},当z>3时,它的下降率为(1+z)^-1.4{+2.4-1.0}。当地的速率为1.3^{+0.6-0.7} [全球定位系统^-3年^-1]。光度函数可以用一个破幂定律来描述,破幂定律在L* = 10^52.5{+-0.2}[erg/sec]处有一个转折点,指数α = 0.2^{+0.2-0.1},β = 1.4^{+0.3-0.6}。最近探测到的GRB 090423,红移~8,很好地符合模型的预测,验证了我们可以将我们的结果扩展到高红移。当z<3时,这可能与恒星形成率(SFR)相一致,但高红移斜率比4<z时SFR的急剧下降要浅。然而,我们不能排除遵循最近SFR模型之一的GRB率。

英文摘要:

We invert directly the redshift - luminosity distribution of observed long Swift GRBs to obtain their rate and luminosity function. Our best fit rate is described by a broken power law that rises like (1+z)^2.1{+0.5-0.6} for 0<z<3 and decrease like (1+z)^-1.4{+2.4-1.0} for z>3. The local rate is 1.3^{+0.6-0.7} [Gpc^-3 yr^-1]. The luminosity function is well described by a broken power law with a break at L* = 10^52.5{+-0.2}[erg/sec] and with indices alpha = 0.2^{+0.2-0.1} and beta = 1.4^{+0.3-0.6}. The recently detected GRB 090423, with redshift ~8, fits nicely into the model's prediction, verifying that we are allowed to extend our results to high redshifts. While there is a possible agreement with the star formation rate (SFR) for z<3, the high redshift slope is shallower than the steep decline in the SFR for 4<z. However we cannot rule out a GRB rate that follows one of the recent SFR models.

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