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The jet opening angle theta_jet and the bulk Lorentz factor Gamma_0 are crucial parameters for the computation of the energetics of Gamma Ray Bursts (GRBs). From the ~30 GRBs with measured theta_jet or Gamma_0 it is known that: (i) the real…

High Energy Astrophysical Phenomena · Physics 2015-06-11 G. Ghirlanda , G. Ghisellini , R. Salvaterra , L. Nava , D. Burlon , G. Tagliaferri , S. Campana , P. D'Avanzo , A. Melandri

Knowledge of the bulk Lorentz factor $\Gamma_{0}$ of GRBs allows us to compute their comoving frame properties shedding light on their physics. Upon collisions with the circumburst matter, the fireball of a GRB starts to decelerate,…

High Energy Astrophysical Phenomena · Physics 2018-01-31 G. Ghirlanda , F. Nappo , G. Ghisellini , A. Melandri , G. Marcarini , L. Nava , O. S. Salafia , S. Campana , R. Salvaterra

We estimate the bulk Lorentz factor Gamma_0 of 31 GRBs using the measured peak time of their afterglow light curves. We consider two possible scenarios for the estimate of Gamma_0: the case of a homogeneous circumburst medium or a wind…

High Energy Astrophysical Phenomena · Physics 2015-05-28 G. Ghirlanda , L. Nava , G. Ghisellini , A. Celotti , D. Burlon , S. Covino , A. Melandri

We estimate the initial bulk Lorentz factors Gamma_0 for GRBs that show the onset of the afterglow in their optical light curves. We find that Gamma_0 is strongly correlated with both the isotropic equivalent luminosity L_iso and energy…

High Energy Astrophysical Phenomena · Physics 2013-09-10 G. Ghirlanda , S. Campana , S. Covino , P. D'Avanzo , G. Ghisellini , A. Melandri , G. Tagliaferri , D. Burlon , L. Nava , R. Salvaterra

The initial Lorentz factor ($\Gamma_{0}$) and jet half-opening angle ($\theta_{\rm jet}$) of gamma-ray bursts (GRBs) are critical physical parameters for understanding the dynamical evolution of relativistic jets and the true energy release…

High Energy Astrophysical Phenomena · Physics 2025-08-20 Jian Zhang , Bao-Cheng Qin , Lu-Lu Zhang , Fu-Wen Zhang

The peak time of optical afterglow may be used as a proxy to constrain the Lorentz factor Gamma of the gamma-ray burst (GRB) ejecta. We revisit this method by including bursts with optical observations that started when the afterglow flux…

High Energy Astrophysical Phenomena · Physics 2015-06-15 R. Hascoet , A. M. Beloborodov , F. Daigne , R. Mochkovitch

If gamma ray bursts are highly collimated, radiating into only a small fraction of the sky, the energy requirements of each event may be reduced by several (up to 4 - 6) orders of magnitude, and the event rate increased correspondingly. The…

Astrophysics · Physics 2009-10-30 James E. Rhoads

It is largely recognized that Gamma-Ray Burst (GRB) jets involve ultra-relativistic motion. However, the value of the Lorentz factor Gamma_0 is still not clear and only lower limits are known for most bursts. We suggest here a new method to…

High Energy Astrophysical Phenomena · Physics 2016-12-14 L. Nava , R. Desiante , F. Longo , A. Celotti , N. Omodei , G. Vianello , E. Bissaldi , T. Piran

Whether gamma-ray bursts are highly beamed or not is a very important question, since it has been pointed out that the beaming will lead to a sharp break in the afterglow light curves during the ultra-relativistic phase, with the breaking…

Astrophysics · Physics 2009-10-31 D. M. Wei , T. Lu

We present in this paper an approach to estimate the initial Lorentz factor of gamma-ray bursts (GRBs) without referring to the delayed emission of the early afterglow. Under the assumption that the afterglow of the bursts concerned occurs…

Astrophysics · Physics 2007-05-23 B. -B. Zhang , Y. -P. Qin

Long-duration gamma-ray bursts (GRBs) are widely believed to be highly-collimated explosions (opening angle theta ~ 1-10 deg). As a result of this beaming factor, the true energy release from a GRB is usually several orders of magnitude…

It is generally supposed that a transition from the normal decay phase (decay slope $\sim -1$) to a steeper phase (decay slope $\sim -2$) could be suggested as a jet break. The jet opening angle $\theta_{\rm jet}$ is then calculated from…

High Energy Astrophysical Phenomena · Physics 2020-09-09 Wen Zhao , Jia-Chang Zhang , Qing-Xiang Zhang , Jian-Tong Liang , Xiao-Hang Luan , Qi-Qi Zhou , Shuang-Xi Yi , Fei-Fei Wang , Shao-Tong Zhang

The characteristic photon energy for Gamma Ray Bursts, E_peak, has a remarkably narrow distribution for bursts of similar peak flux, with values between 150 and 600 keV for most faint bursts. This result is surprising within the framework…

Astrophysics · Physics 2009-11-07 Bradley E. Schaefer

Motivated by GW170817 we examine constraints that observations put on the angular structure of long gamma-ray burst (GRB) jets. First, the relatively narrow observed distribution of $E_{X}/E_{\gamma}$ (the isotropic equivalent early X-ray…

High Energy Astrophysical Phenomena · Physics 2018-12-12 Paz Beniamini , Ehud Nakar

Gamma-ray bursts (GRBs) are widely suggested as potential sources of ultrahigh-energy cosmic rays (UHECRs). The kinetic energy of the jets dissipates, leading to the production of an enormous amount of $\gamma$-ray photons and possibly also…

High Energy Astrophysical Phenomena · Physics 2025-01-17 Xing-Fu Zhang , Ruo-Yu Liu , Hai-Ming Zhang , Yi-Yun Huang , B. Theodore Zhang , Xiang-Yu Wang

Gamma-ray bursts (GRBs) are powered by ultra-relativistic jets. Usually a minimum value of the Lorentz factor of the relativistic bulk motion is obtained based on the argument that the observed high energy photons ($\gg {\rm MeV}$) can…

High Energy Astrophysical Phenomena · Physics 2015-04-16 Qing-Wen Tang , Fang-Kun Peng , Xiang-Yu Wang , Pak-Hin Thomas Tam

Gamma-ray bursts with long durations are widely thought to arise from the collapse of massive stars, where the wind environment is unavoidable. It is also believed that $\gamma$-ray bursts come from jets. Considering these two points in…

Astrophysics · Physics 2009-10-31 L. J. Gou , Z. G. Dai , Y. F. Huang , T. Lu

The radiation released at the transparency radius of an ultrarelativistic flow can account for the observed properties of gamma-ray bursts (GRBs) provided that sufficient energy is dissipated in the sub-photospheric region. Here, I…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Dimitrios Giannios

We consider all bursts with known redshift and $\nu F_\nu$ peak energy, $E^{obs}_{peak}$. For a good fraction of them an estimate of the jet opening angle is available from the achromatic break of their afterglow light curve. This allows…

Astrophysics · Physics 2009-11-10 G. Ghirlanda , G. Ghisellini , D. Lazzati

We summarize our model for long-duration gamma ray bursts (GRBs) that fits the redshift (z) distributions measured with Swift and missions before Swift, and the pre-Swift GRB jet opening-angle distribution inferred from achromatic breaks in…

Astrophysics · Physics 2008-11-26 Truong Le , Charles D. Dermer
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