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The prompt phase of GRBs Dimitrios Giannios Lyman Spitzer, Jr. Fellow Princeton, Department of Astrophysical Sciences Raleigh, 3/7/2011
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Structure of the talk Main properties of the prompt emission Models for the GRB flow Fireballs Internal shocks Poynting-flux dominated flows Magnetic Reconnection Radiation region Thomson thin vs photospheric emission for the GRB Fermi LAT bursts Correlations: what can we learn for the central engine?
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E (MeV) Gamma-ray bursts: spectra and variability t (sec) N ph (t) νf ν
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GRBs: ultrarelativistic jets Clues The prompt emission has non-thermal spectral appearance Band et al. 1993; Preece et al. 1998 Rapid variability The GRB-emitting flow is ultrarelativistic (γ>100, 300, 1000?) e.g. Piran 1999… Big questions Type of central-engine/Jet composition How is the flow accelerated? Which processes result in the observed GRB emission?
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My focus: why and how do jets radiate? Internal dissipation Central Engine Acceleration External interactions ?
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(How to tell a millisecond magnetar) A millisecond neutron star has rotational energy Extracted on a timescale of ~30 sec for Usov 1992; Thompson 1994; Uzdensky & MacFadyen 2006; Metzger et al. 2007; 2011 After the GRB we are left with a supermagnetar! Contains The magnetic field decays fast (100-1000yr; Thompson & Duncan 1996) May power SGR superflares ~100 times more powerful than that of SGR 1806-20 in December 2004! SGRs kouveliotou et al. 1998 GRB- magnetar flare galactic rate~10 -3 yr -1 ~10 -5.5 yr -1 Guetta et al. 2005 B Field~10 15 G~10 16 G flaring @~10 4 yr~10 2 -10 3 yr Peak luminosity ~10 47 erg s -1 ~10 49 erg s -1 detectability with BATSE, … ~25 Mpc~250 Mpc DG 2010
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The driving mechanism: MHD Energy Extraction and/or neutrino annihilation Blandford & Znajek 1977 Koide et al. 2001 van Putten 2001 Lee et al. 2001 Barkov & Komissarov 2008 Neutrino annihilation energy deposition rate (erg cm –3 s -1 ) Ruffert & Janka 1999; Popham et al. 1999; Aloy et al. 2000; Chen & Beloborodov 2007; Zalamea & Beloborodov 2011 B-fields extract rotational energy from the compact object/inner accretion disk at a rate Usov 1992 Uzdensky & McFadyen 2007 Bucciantini et al. 2007 Metzger et al. 2010
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General considerations: Acceleration Important quantities of the flow: luminosity L mass flux Efficient acceleration can lead to γ sr ~η Depending on the energy extraction mechanism, the flow can be dominated by Thermal energy thermal acceleration (Fireball) Paczynski 1986; Goodman 1986; Sari & Piran 1991 Magnetic energy MHD acceleration (Poynting-flux dominated flow) Usov 1992; Thompson 1994; Mészáros & Rees 1997; Drenkhahn & Spruit 2002; Lyutikov & Blandford 2003 Baryon loading
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Fireballs Parameters: L, η, initial radius r o Go through fast acceleration Converting thermal energy into kinetic Saturation takes place when 1. almost all thermal energy is used: γ sr η 2. at the photospheric crossing γ sr < η Radiation and matter decouple when τ ~ 1 Photospheric emission takes place distance r internal shocks thermal component kinetic component photospheric emission τ~1 energy content
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Strongly magnetized jets Recent progress in 2D axisymmetric relativistic MHD simulations & theory Vlahakis & Koenigl 2003; Komissarov et al. 2009; 2010; Tchekhovskoy et al. 2009; 2010; Lyubarsky 2009; 2010 High magnetization flows accelerate to Γ>>1, But most of the energy remains in the B field Shocks are inefficient Dissipative MHD processes are key to jet emission (and acceleration) Non-axisymmetric instabilities may develop a large distance leading to dissipation and emission e.g., Lyutikov & Blandford 2003; Narayan & Kumar 2008; Zhang & Yan 2011
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The reconnection model for GRBs The field is in general not axisymmetric at the central engine × × ×× × × × Model for GRBs: Magnetic field changes polarity on small scales and reconnects v rec =εc Drenkhahn 2002 and Denkhahn & Spruit 2002; see also McKinney & Uzdensky 2011 Dissipation is gradual and leads to acceleration of the flow and heating of plasma The model predicts a strong photospheric component and optically thin dissipation distance r kinetic component magnetic component thermal photospheric emission τ~1 energy content thin emission
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The prompt GRB Prompt GRB Central engine Internal dissipation External interactions Afterglow ~10 6 cm ~10 17 -10 18 cm ~10 11 -10 17 cm
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Where is the prompt emission produced? in principle anywhere between the Thomson photosphere r ph (or slightly below) and the deceleration radius r d Typically r ph ~10 11 cm and r d ~10 17 cm; in this range of radii: density ~12 orders of magnitude optical depth ~6 orders of magnitude Different radiative mechanisms depending on the location of the energy dissipation Case 1: Thomson thin dissipation Case 2: Photospheric dissipation
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Dissipation in the Thomson thin regime Shocks accelerate particles and amplify magnetic fields Big variety of spectra depending on the various parameters: є diss -fraction of dissipated energy є B, є e -fraction that goes to B- fields, fast electrons Fraction ζ of accelerated electrons Electron power-law index p Distance of collision Dominant processes: Synchrotron; synchrotron-self-Compton Similar for magnetic reconnection at optically thin conditions! Bosnjak, Daigne & Dubus 2008 E*f(E)
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Photospheric emission In the fireball the photospheric luminosity is e.g. Mészáros & Rees 2000 Spectrum quasi thermal Goodman 1986 (but not exactly black-body Beloborodov 2011 ) Energy dissipation (shocks, collisional heating) at τ ≥ 1 distorts the spectra Mészáros & Rees 2005; Pe’er et al. 2006 In the reconnection model DG 2006; DG & Spruit 2007
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Photospheric emission from the reconnection model If fraction f e ~ 1 of the energy goes into heating the electrons then heating-cooling balance gives the electron temperature everywhere in the flow Resulting emission spectrum with DG 2006; DG & Spruit 2007; DG 2008 Peak in the sub-MeV range Flat high-energy emission observed low-energy slope Rather high efficiency L ph ~ 0.03…0.5L, for 100 < η < 1500 ~ ~
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Dissipative photospheres: reconnection model η=590 η=1000 typically observed Swift Fermi Robotic telescopes DG 2006; DG & Spruit 2007; DG 2008 more models: Pe’er et al. 2006; Ioka 2010; Lazzati & Begelman 2010; Beloborodov 2010; Ryde et al. 2011 τ~1 τ<<1 E (MeV) Compton scattering synchrotron emission η=350 η=460 η=250
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From the central engine to radiation Millisecond magnetar Spectrum Metzger, Giannios, Thompson, Bucciantini & Quataert 2011 η η typical GRB
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More dissipative photospheres Pe’er et al. 2006 collisional heating; Beloborodov 2010; Vurm et al. weak shocks ; Lazzati & Begelman 2010 E*f(E) f(E)
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Recent Developments: GeV emission LAT emission: peaking with (late) MeV but lasts longer! GRB 080916C; Abdo et al. 2009 Ghiselini et al. 2009 Physical origin of GeV emission is (in part?) different from the MeV counts time
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What to make of Fermi observations? LAT ‘sees’ two components (physically separated) 1. prompt 2. slow declining Need to disentangle them before constraining for the prompt emission cite! cannot assume a single emission cite for MeV and GeV (e.g. Zhang & Pe’er 2009) GBM LAT time L
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Correlations: what do we see? Involve both time integrated and instantaneous quantities (e.g., ) also Borgonovo & Ryde 2001; Liang et al. 2004; Ghirlanda et al. 2004; Liang & Zhang 2006; Firmani et al. 2006; Collazzi & Schaefer 2008… Yonetoku et al. 2004 Amati 2010 Firmani et al. 2009
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Correlations: what can we learn? Morsony et al. 2011; Lazzati et al. 2011; see also Thompson et al. 2007 Transparency of fireball emerging from a collapsar? Metzger et al. 2011; see also DG & Spruit 2007 Tendency for brighter bursts to be cleaner? Interpretations within photospheric models for E peak Ave Peak Energy E peak Peak Isotropic Jet Luminosity (erg s -1 )
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Summary The prompt emission most likely comes from internal dissipation of energy in the fast flow Internal shocks or Magnetic dissipation or … Dissipation may take place in Thomson thin or thick conditions Thin case: particle acceleration uncertainties є e, ζ e, p, є B The photospheric interpretation for MeVs is robust Magnetic reconnection provides a promising process to power a dissipative photosphere
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Comment The temperature of the flow at the r eq in the observer frame is The E·f(E) spectrum of this component peaks at ~4 times this energy
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