Emission and absorption lines of gamma-ray bursts affected by the relativistic motion of fireball ejecta

Abstract

We display by numerical calculation how rest frame spectral lines appear in the observed spectrum of gamma-ray bursts due to the Doppler effect in the fireball framework. The analysis shows that: a) in the spectrum of a relativistically expanding fireball, all rest frame lines would shift to higher energy bands and would be significantly smoothed; b) rest frame weak narrow emission lines as well as narrow absorption lines and absorption line forests would be smoothed and would hardly be detectable; c) the features of rest frame broad emission lines as well as both strong and weak broad absorption lines would remain almost unchanged and therefore would be easier to detect; d) deep gaps caused by rest frame broad absorption lines would be significantly filled; e) a rest frame emission line forest would form a single broad line feature; f) the observed relative width of the rest frame very narrow line would approach $0.162$; g) when the Lorentz factor $\Gamma$ is large enough, the observed line frequency ${\nu }_{line}$ and the rest frame line frequency ${\nu }_{0,line}$ would be related by ${\nu }_{line}\approx 2\Gamma {\nu }_{0,line}$. We also investigate the effect of time dependence of the line intensity and the effect of variation of $\Gamma$. We find that the feature of rest frame dimming narrow emission lines would disappear when $\Gamma$ is very large. The form of emission lines would be sharp on both edges when $\Gamma$ varies with time. This phenomenon depends not only on the initial Lorentz factor but also on the observation time.

28 pages, 18 figures

References in corpus (1)

• On the X-ray lines in the afterglows of GRBs

Cited by in corpus (8)

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• Hardness ratio evolutionary curves of gamma-ray bursts expected by the curvature effect
• Spectral hardness evolution characteristics of tracking Gamma-ray Burst pulses
• Relationship between the rise width and the full width of gamma-ray burst pulses and its implications in terms of the fireball model