Jet break time -- flux density relationship and constraints on physical parameters of GRB afterglows

Details Jet break time -- flux density relationship and constraints on physical parameters of GRB afterglows Jet break time -- flux density relationship and constraints on physical parameters of GRB afterglows

2004-07-21

arxiv.org/abs/astro-ph/0407442v2

Astrophys.J. 615 (2004) 359-365

Astronomy and Astrophysics

Astrophysics

11 pages including 3 color figures

Scientific paper

10.1086/424378

We derive a relation between the flux density $F_{\nu,j}$ at the light-curve break of a gamma-ray burst (GRB) afterglow and the break time $t_{j}$. The break is due to the transition from the spherical-like to jet-like evolution of the afterglow, when the Lorentz factor of the jet equals the inverse of the initial half-opening angle, i.e., $\gamma=1/\theta_0$. We show that this relation indeed behaves as $F_{\nu,j}\propto t_{j}^{-p}$ among GRBs for the slow-cooling case, where $p$ is the power-law index of electron distribution. A statistical analysis of the optical jet breaks of nine GRBs gives $p=2.10\pm 0.21$, which is consistent with the shock acceleration theory. The value of $p$ derived in this way is different from the observed temporal index $\alpha_2$ ($F_{\nu}\propto t^{-\alpha_{2}}$) of the late-time light curve after $t_{j}$, which suffers several uncertainties from the unclear hydrodynamics of the sideways expansion and exhibits a large dispersion. Our results not only confirm that the remnants of GRBs are standard candles, but also provide the first evidence that the physical parameters of relativistic shocks are universal, with the favored values $\epsilon_{e}\sim 0.1$ and $\epsilon_{B}\sim 10^{-3}$.

Affiliated with

Also associated with

No associations

Rating

Jet break time -- flux density relationship and constraints on physical parameters of GRB afterglows does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Jet break time -- flux density relationship and constraints on physical parameters of GRB afterglows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jet break time -- flux density relationship and constraints on physical parameters of GRB afterglows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173