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The prompt optical emission in the Naked Eye Burst R. Hascoet with F. Daigne & R. Mochkovitch (Institut d’Astrophysique de Paris) Kyoto − Deciphering then Ancient Universe with Gamma-Ray Bursts 23/4/10
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Modeling the « Naked Eye Burst » 23/4/10 Observations : a cosmological naked eye burst - For the first time, optical light curve during the whole prompt emission high temporal resolution. - huge radiated energy : E ,iso = 1.3×10 54 erg (20 keV – 7 MeV) - redshift : z = 0.937 - V magnitude peak : m V,max = 5.3 (bright as 10 7 galaxies) Light curves (gamma & optical) Huge optical brightness – big challenge for the different models – optical ✕ -ray spectrum (Racusin et al. 2008)
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23/4/10 Different scenarios already proposed Scenario 1 (single zone) : Synchrotron-Self Compton radiation from a single electron population ✕ Optical : synchrotron Gamma : first IC scattering on the synchrotron photons (Racusin et al. 2008) (Kumar & Panaitescu 2008) (Kumar & Narayan 2009) Scenario 2 (single zone) : Synchrotron radiation from two electron populations Optical : synchrotron – mildly relativistic electron pop. Gamma : synchrotron – highly relativistic electron pop. ✕ These two scenarios face big problems : energy crisis, …. (Zou, Piran & Sari 2008) No self-abs Self-abs No self-abs Self-abs
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23/4/10 Scenario 3 : Huge optical brightness due to a highly variable jet Internal Shock model Huge optical brightness due to a highly variable jet ( Lorentz Factor : Gmax/Gmin 5 - 10) Synchrotron radiation from shock-accelerated electrons in multi-shocked regions - gamma component : violent shocks - optical component : mild shocks Log(R) [m] Variability during the ejection : “fast” shells catch up with “slow” shells ( ) Shocks : magnetic field amplification particle acceleration (relativistic electrons) Radiation ( -rays) from the electrons : Synchrotron – IC We use a multi-shell model as proposed by Daigne & Mochkovitch 1998 (see also Yu, Wang, Dai 2009)
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Proposed scenario : 1 electron population in multiple regions – Synchrotron emission - optical component : mild shocks - gamma component : violent shocks Huge optical brightness due to a highly variable jet Internal Shock model framework 23/4/10 Characteristic photon energy vs. radius Spectrum – Asymptotic Synch. (Sari, Piran & Narayan 1998) initial profile Optical light curveGamma light curve mild shock contribution violent shock contribution ✕ E kin,iso = 5 ⋅ 10 55 erg e = 1/3 B = 1/3 = 10 -2 E kin,iso = 5 ⋅ 10 55 erg e = 1/3 B = 1/3 = 10 -2 E kin,iso = 5 ⋅ 10 55 erg e = 1/3 B = 1/3 = 10 -2 E kin,iso = 5 ⋅ 10 55 erg e = 1/3 B = 1/3 = 10 -2 E kin,iso = 5 ⋅ 10 55 erg e = 1/3 B = 1/3 = 10 -2 E kin,iso = 5 ⋅ 10 55 erg e = 1/3 B = 1/3 = 10 -2 No self-abs Self-abs
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Proposed scenario : 1 electron population in multiple regions – Synchrotron emission - optical component : mild shocks - gamma component : violent shocks Huge optical brightness due to a highly variable jet Internal Shock model framework 23/4/10 Characteristic photon energy vs. radius Spectrum – Ad hocinitial profile Optical light curveGamma light curve mild shock contribution violent shock contribution ✕ E kin,iso = 5 ⋅ 10 55 erg e = 1/3 B = 1/3 = 10 -2
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The high optical brightness of the Naked Eye Burst is very challenging for GRB models. Proposed scenario : the initial outflow is highly variable. A potential problem : the shape of the gamma-ray spectrum in some cases. Due to a high dispersion in the characteristic energies of the emitted photons Reproduced observational features (with a fair probability : Monte Carlo analysis) : 1.High optical flux : - mainly built up by the milder shocks 2.The optical light curve is less variable than the gamma-ray one : - of the shocked material is smaller for mild shocks ( t obs ≈ R/2 2 c) 3.The optical light curve begins after the gamma-ray one : - the optical synchrotron emission of the shocks with smaller radii is self-absorbed 4.The optical light curve ends after the gamma-ray one : - same reason as for (2.) - late shocks enhance the delay, in some cases Summary 23/4/10 The Naked Eye Burst : why is it so bright in the optical domain ? (gamma & optical) (Racusin et al. 2008) The precise predicted fraction of optically bright bursts depends on the unknown central engine exact properties
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What would be the probability of an event such as the Naked Eye Burst ? What is the probability of having a burst such as the “naked eye burst” ? – the physics of the central engine is still unclear – 23/4/10 Statistical approach – Monte Carlo Simulation varies on timescales 0.5s and is forced to be either 200 or 800 (with equal probability) values are uniformly distributed between 200 or 800 Cumulative fraction 66% cases brighter than GRB080319B 16% cases brighter than GRB080319B Cumulative fraction Series of 500 runs Example of the − optical mean flux − NN
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Modeling Internal Shocks 23/4/10 -Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions
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-Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions 23/4/10 Shock1 Shock2 Modeling Internal Shocks
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-Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions 23/4/10 Modeling Internal Shocks Shock1 Shock2
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-Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions 23/4/10 Modeling Internal Shocks Shock1 Shock2
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-Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions 23/4/10 Modeling Internal Shocks Shock1 Shock2
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-Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions 23/4/10 Modeling Internal Shocks Shock1 Shock2
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-Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions 23/4/10 Modeling Internal Shocks Shock1
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-Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions 23/4/10 Modeling Internal Shocks Shock1
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-Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions 23/4/10 Modeling Internal Shocks Shock1
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-Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions 23/4/10 Modeling Internal Shocks Shock1
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23/4/10 Modeling Internal Shocks -Discretisation of the jet in N shells -Successive collisions between these shells mimic the propagation of shock waves -We follow the evolution of the physical conditions in shocked regions
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