Calibration of X-ray absorption in our Galaxy
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...…the X-ray spectrum for each burst to an absorbed power law model characterized by photon index,Γ, and the intrinsic neutral hydrogen absorption column,NH,int, in excess of the Galactic column density in the direction of the burst (Kalberla et al. 2005; Wakker et al. 2011; Willingale et al. 2013)....
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...The shortest allowed variability time ∆t if the ejecta covers a large frac- 14 Further Coulomb heating of the electrons by ions downstream of the shock (e.g., Katz et al. 2011) is inefficient given the low densities of the forward shock. tion of the solid angle is the light crossing time, which for shock of radius rsh = vsht with vsh ≈ 0.1 − 0.2c (§3.2.1) is constrained to obey ∆t t & rsh ct ∼ vsh c ≈ 0.1 − 0.2 (20) We measure the properties of the X-ray flares in AT 2018cow following the same procedure as is used for long GRBs, adopting a Norris et al. (2005) profile....
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...We use p = 2.5 and explore the parameter space for two jets of θ j = 5◦ and θ j = 30◦, representative of strongly collimated and less collimated outflows, respectively (as found for normal GRBs and low-energy GRBs, (e.g., Racusin et al. 2009; Ryan et al. 2015; Margutti et al. 2013b)....
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...Margalit et al. (2018) show that the central engine jet can escape homologously expanding ejecta if the energy of the jet exceeds a critical value Ej & 0.195(γj/2)−4Ek,0 ∼ 1049 − 1050erg (26) where Ek,0 & 1051 erg is the initial kinetic energy of the explosion and γj is the jet Lorentz factor while propagating through the star (values γj ∼ 2 − 3 are required to produce jet opening angles similar to GRBs, Mizuta & Ioka 2013)....
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...With a different method based on X-ray afterglows of GRBs, Willingale et al. (2013) estimate NH,MW = 0.07× 1022 cm−2....
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"Calibration of X-ray absorption in ..." refers methods in this paper
...We can calculate the molecular hydrogen fraction using all the pixels in the FTOOLS version of the LAB survey all-sky image and the rebinned version of the E(B-V) data from Schlegel et al. (1998)....
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...We modified the functionality of the NH2 profile so that it includes the extinction measure E(B − V ), using the allsky maps of E(B − V ) produced by Schlegel et al. (1998) from IRAS and COBE/DIRBE infra-red 100 µm and 240 µm data....
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"Calibration of X-ray absorption in ..." refers methods in this paper
...To test the effect of this change we re-ran the group fitting using the Anders & Grevesse (1989) abundances for the NH,g component....
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...We also tried varying the global percentage of molecular hydrogen from 0 to 30% and varying the elemental abundances between values consistent with Wilms et al. (2000) and Anders & Grevesse (1989) but no combination improved the situation....
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...The Wilms et al. (2000) model includes updated abundances which are approximately 70% of the previously widely used values from Anders & Grevesse (1989)....
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