The Luminosity- E  p  Relation within Gamma-Ray Bursts and the Implications for Fireball Models | Zendy

EnWei Liang | Zendy; Z. G. Dai | Zendy; Xue-Feng Wu | Zendy

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The Luminosity- E _p Relation within Gamma-Ray Bursts and the Implications for Fireball Models

Author(s) -

EnWei Liang,

Z. G. Dai,

Xue-Feng Wu

Publication year - 2004

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/421047

Subject(s) - physics , astrophysics , gamma ray burst , redshift , lorentz factor , luminosity , luminosity function , shock (circulatory) , kinetic energy , lorentz transformation , galaxy , classical mechanics , medicine

Using a sample of 2408 time-resolved spectra for 91 BATSE gamma-ray bursts(GRBs) presented by Preece et al., we show that the relation between theisotropic-equivalent luminosity (L_iso) and the spectral peak energy (E_p) inthe cosmological rest frame, L_iso \propto E_p^2, not only holds within thesebursts, but also holds among these GRBs, assuming that the burst rate as afunction of redshift is proportional to the star formation rate. The possibleimplications of this relation for the emission models of GRBs are discussed. Wesuggest that both the kinetic-energy-dominated internal shock model and themagnetic-dissipation-dominated external shock model can well interpret thisrelation. We constrain the parameters for these two models, and find that theyare in a good agreement with the parameters from the fittings to the afterglowdata (abridged).Comment: 3 pages plus 5 figures, emulateapj style, accepted for publication in ApJ Letter

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