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The peak energy and spectrum from dissipative GRB photospheres Dimitrios Giannios Physics Department, Purdue GRBs @ Liverpool, June 19, 2012
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E (MeV) Gamma-ray burst spectrum: a 40+ year mystery νf ν Peak at ~1 MeV consistently Non-thermal appearance High radiative efficiency Several thousands of bursts observed so far t (sec) N ph (t) ? f ν ~ν 0 f ν ~ν -1.2 E peak ~1 MeV Band et al. 1993
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Peak energy: a key quantity E peak marks where most of the EM energy comes out E peak tracks other observables and jet properties (E iso, L, Γ) Amati 2002; Ghirlanda et al. 2010…
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Theoretical Cartoon Internal dissipation Central engine Acceleration jet emission Shocks? B reconnection? something else? synchrotron? Inverse Compton? photospheric? optically thin emission? optically thick emission?
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Internal shock synchrotron as source of GRBs? Model cannot explain: E peak clustering spectral slope below peak high radiative efficiency Internal shocks Rees & Meszaros 1994 Unsteady jet composed by shells A fast shell with γ 2 >γ 1 collides with a slower one dissipating kinetic energy nonthermal particles fast particles+ magnetic field Synchrotron radiation -rays γ2υ2γ2υ2 γυ γ1υ1γ1υ1 E*f(E) ✔✖ ✖ theory Observations E
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Back to the blackboard Internal dissipation Central engine Acceleration jet emission Blandford & Znajek 1977 Begelman & Li 1992 Meier et al. 2001 Koide et al. 2001 van Putten 2001 … Barkov & Komissarov 2008 …
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gamma-ray bursts (GRBs) The strength of the magnetic paradigm: universally produces relativistic outflows jets in galactic centers micro-quasars M87; NASA/Hubble M BH ~10 9 M ~10M ~3M Power~10 44…49 erg/s ~10 52 erg/s ~10 37 erg/s
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Magnetic Fields: critical for jet acceleration distance r kinetic component magnetic component energy content thermal component; energetic particles magnetic reconnection region fields may be essential in powering the jet radiation Eichler 1993; Begelman 1998; Drenkhahn & Spruit 2002; Nakamura & Meier 2004; Giannios & Spruit 2006; Moll 2009; McKinney & Blandford 2009; Mignone et al. 2010… Magnetic reconnection effective in heating the jet Important in understanding jet acceleration Michel 1969; …, Vlahakis & Koenigl 2003; Komissarov et al. 2009; 2010; Tchekhovskoy et al. 2009; 2010; Lyubarsky 2009; 2010; Granot et al. 2011 and dissipation Γ>>1
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Photospheric emission: a black body? Deep in the flow τ es >>1 thermal energy is trapped Emission at photosphere Powerful Peaking at ~1 MeV Goodman 1986 Assumed a black body Detailed radiative transfer required to calculate actual spectrum Giannios 2006; 2008; 2012 distance r kinetic component magnetic component thermal photospheric emission τ~1 energy content optically thin emission GRB ~10 6 cm ~10 12 cm ✖✖ ✔ ✔
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Photospheric spectrum The simple physics behind the detailed Monte Carlo Comptonization simulations E*f(E) τ~1 τ<<1 τ>>1 Inverse Compton τ>>1 τ~1τ<<1 synchrotron 1 MeV T e ~T ph T e >T ph T e >>T ph E
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Photospheric emission: not at all thermal-like η=590 η=1000 typically observed Swift Fermi Robotic telescopes Giannios 2006; Giannios & Spruit 2007; Giannios 2008; 2012 E (MeV) η=350 η=460 η=250 extensive theoretical effort: Thompson 1994; Pe’er et al. 2006; Ioka et al. 2007; 2010; Lazzati & Begelman 2010; Beloborodov 2010; Ryde et al. 2011; Vurm et al. 2011; Lazzati et al. 2012…
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What determines E peak of the photosphere? The jet temperature at τ~1 (ignoring additional heating; e.g., Meszaros & Ress 2000 ) Emerging spectrum is quasi-thermal: typically Not observed Dissipation of energy is required for Band spectrum dissipation affects the location where E peak forms!
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E peak in dissipative photospheres Giannios (2012) Generic model for dissipative photosphere assuming: 1. continuous heating of electrons over wide range in distance (including the photosphere) 2. Compton scattering dominates the e - /photon interactions Findings: --- T e =T ph, for τ>>>1 (Compton y>>1) --- e - and photons decouple at τ~50 --- T e >T ph, for τ<30-50 (Compton y~1) E peak forms here !!!
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Numerical verification Giannios 2012 E peak indeed forms at τ~τ eq ~50
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Key result for photospheric models Analytic expression for the peak energy Main prediction: the larger Γ the higher the E peak already made in Giannios & Spruit 2007 The synchrotron IS model predicts the opposite E peak ~Γ -2 !
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Observations of GRBs: the brighter, the faster, the higher E peak Liang et al. 2010Ghirlanda et al. 2010
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Other Implications Prediction: Giannios 2012 Observations Ghirlanda et al. 2011
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All photospheric: GRBs, XRFs, ll GRBs? L (erg/s) Γ GRBs ll GRBs X-ray flares XRFs 10 53 10 51 10 49 10 3 10 2 10 E peak ~0.1-1 MeV E peak ~30 keV E peak ~1 keV They may all come from the jet photosphere!
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Summary on GRB emission Magnetic dissipation holds great promise in powering jet radiation The photosphere of the jet is likely to be the location where GRB prompt emission forms (and maybe XRFs, X-ray flares, ll GRBs) The peak of the spectrum depends mainly on the bulk Γ of the jet (and forms at optical depth τ~50!) Key Question: What makes the central engine “the brighter the faster?”
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