Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998apj...501..425k&link_type=abstract
Astrophysical Journal v.501, p.425
Astronomy and Astrophysics
Astronomy
3
Errata, Addenda
Scientific paper
In the paper "Persistent Counterparts to Gamma-Ray Bursts" by J. I. Katz and T. Piran (ApJ, 490, 772 [1997]), a preliminary version of the manuscript was published instead of the final version. The last paragraph of section 7 should be replaced by the following three paragraphs, and two references, given below, should be added to the reference section. We can now derive the scaling of F_max_nu and F_nu(t), using equations (6)(8): the time-integrated fluence per unit frequency dE/d_nu = (dE/dr)(dr/d_nu) propto r^9. This is emitted over a characteristic time propto r^7, yielding F_max_nu propto r^2 propto nu^-1/6 This should be valid throughout the regime in which the shell is moving relativistically, roughly corresponding to nu from the infrared to X-rays. This law can, in principle, be compared with data like those shown in Figure 1, but in that figure there is only one significant point in the applicable frequency range. At lower frequencies the instantaneous spectrum F_nu propto nu^1/3 (Katz 1994b), so that at a fixed frequency F_nu(t) propto F_max_nu ( nu/nu_max )^1/3 propto nu^1/3 * t^6/7 The exponent of t is very close to the value of 4/5 obtained in a model in which radiation is inefficient (Katz 1994a, 1994b). Observations of the persistent visible counterparts to GRB 970228 (Guarnieri et al. 1997) and GRB 970508 (Djorgovski et al. 1997) confirm the predicted rise before the maximum but are not sufficient to determine the exponent quantitatively. The data for GRB 970508 suggest an exponent of 0.7 +/- 0.1, approximately consistent with the predictions, but this value may underestimate the true exponent because it is based on only two points, the second of which was obtained close to the maximum when the initial rise may have been leveling off. We also wish to thank Lifan Wang for very helpful discussions.
Katz Jonathan I.
Piran Tsvi
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