2012
DOI: 10.1088/0004-637x/745/2/168
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Selection Effects on the Observed Redshift Dependence of Gamma-Ray Burst Jet Opening Angles

Abstract: Apparent redshift dependence of the jet opening angles (θ j ) of gamma-ray bursts (GRBs) is observed from current GRB sample. We investigate whether this dependence can be explained with instrumental selection effects and observational biases by a bootstrapping method. Assuming that (1) the GRB rate follows the star formation history and the cosmic metallicity history and (2) the intrinsic distributions of the jet-corrected luminosity (L γ ) and θ j are a Gaussian or a power-law function, we generate a mock Sw… Show more

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Cited by 41 publications
(39 citation statements)
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“…The ratio between the mean jet energies for events produced at z = 7 and z = 1 is about 20, indicating a moderate evolution in the energy distribution. For this model, the derived local formation is R grb = 290 Gpc −3 yr −1 and the expected average jet energy is 3.0 × 10 49 erg, in agreement with the value derived by Lu et al (2012). Nevertheless, these authors have considered the opening angle to be related to the redshift, while in our simulations both quantities were statistically independent.…”
Section: Resultssupporting
confidence: 89%
“…The ratio between the mean jet energies for events produced at z = 7 and z = 1 is about 20, indicating a moderate evolution in the energy distribution. For this model, the derived local formation is R grb = 290 Gpc −3 yr −1 and the expected average jet energy is 3.0 × 10 49 erg, in agreement with the value derived by Lu et al (2012). Nevertheless, these authors have considered the opening angle to be related to the redshift, while in our simulations both quantities were statistically independent.…”
Section: Resultssupporting
confidence: 89%
“…Also, it was noticed that the LGRBR was flatter at higher redshifts than the CSFH and that LGRBs were typically found in low-mass, low-metallicity galaxies (see e.g., Le Floc'h et al 2003;Savaglio et al 2009;Svensson et al 2010;Mannucci et al 2011). The difference in the LGRBR and CSFH, suggested in previous papers, can be understood if cosmic metallicity thresholds, evolving LGRB luminosity distributions (e.g., the progenitor evolves with redshift; Virgili et al 2011), evolving stellar initial mass functions (Wang & Dai 2011) or sample selection effects (see e.g., Coward et al 2008;Lu et al 2012) are included.…”
Section: Introductionmentioning
confidence: 81%
“…Recently, Fong et al (2012) reported on the X-ray light curve of the short burst 111020A, which showed a break at 2 d, leading to an estimated Θ jet = 3-8 deg for an assumed z = 0.5-1.5 and n ∼ 0.01-0.1 cm −3 . Figure 16 shows the observed distribution of jet half-opening angles of long-bursts based on the compilation of Lu et al (2012) compared to the short-burst sample (a similar plot has been recently shown by Fong et al (2012). The latter contains the results summarized in Table 5, supplemented by GRBs 061006 (Θ jet ∼ 5 deg), 070714B (Θ jet 4 deg), and 071227 (Θ jet 4 deg) taken from the compilation of Fan & Wei (2011), but using η γ = 0.2 instead of 1.0 (i.e., multiplying their numbers by 0.8; Eq.…”
Section: Jet Half-opening Anglesmentioning
confidence: 99%
“…Some caution is necessary, however. First of all, when calculating the jet half-opening angles, Lu et al (2012) assumed n = 0.1 cm −3 and η γ = 0.2 throughout. Even though Θ jet is only modestly sensitive to changes in both parameters (see Eq.…”
Section: Jet Half-opening Anglesmentioning
confidence: 99%