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Unstable e ± Photospheres & GRB Spectral Relations Kunihito Ioka (IPNS, KEK) w/ K.Murase, K.Toma, S.Nagataki, T.Nakamura, M.Ohno, Suzaku team, P.Mészáros Opening of a postdoc in KEK (theoretical cosmophysics) http://www.kek.jp/ja/jobs/IPNS08-1.html Please search with “KEK”
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Contents GRB emission mechanism Synchrotron vs. Photosphere Unstable e ± photosphere ⇒ Non-thermal Blueshifted e ± line (bump) ⇒ GLAST Closure relations between e ± line & cutoff Suzaku/WAM + Swift/BAT Time-resolved E p -L iso (Yonetoku) relation E p -L iso relation for short GRBs Hypernova remnants as TeV unID sources Decay of accelerated radioisotope
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Emission mechanism What is the GRB emission mechanism? Reasons: 1. Low-energy spectral index 2. E peak relations (Amati/Yonetoku/Ghirlanda) ⇔ High GRB efficiency ( -ray energy/Total energy ≳ 50%) Internal shock ⇒ GRB: ~ OK, … But, Synchrotron emission?: Possibly No
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Problem 1 1. Low-energy spectral index 2. E peak relations (Amati/Yonetoku/Girlanda) Excluded Preece+ 00 F Superposition of synchrotron spec. 1/3 High GRB efficiency ⇒ t cool << t dyn -1/2 Ghisellini+ 00 Mészáros&Rees 00 But, Bosnjak+ 00
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Problem 2 E p ~L iso 1/2 E p ~E syn ~ B’ e 2 ~B~U 1/2 ~(L/r 2 ) 1/2 ~L 1/2 -2 t -1 (with r~c 2 t) ⇒ Small ⇒ Low GRB efficiency?? 1. Low-energy spectral index 2. E peak relations (Amati/Yonetoku/Girlanda) Synchrotron model: Yonetoku+ 03, Kodama+ 08 Also Willingale+ 07 Kobayashi+ 98
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Photosphere model Zhang+(04) Strong dissipation within the star ~1 emission ⇒ GRB 1. Hard low-energy index F ~ 2 2. E peak ~Thermal peak Stefan-Boltzmann law E p ~ T’~ (L/ 2 r 2 ) 1/4 ~( /r) 1/2 L 1/4 (if r~r WR*, ~ -1, Frail L~ -2, then ~L 1/2 ) Thompson,Mészáros&Rees 06 Weak dependence ⇒ High GRB efficiency: OK
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Non-thermal? ~1 ⇒ Radiation is thermalized ⇔ GRB is nonthermal : Reason that excludes original fireball model How to make non-thermal (radiation-dominated) fireballs? F
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Unstable photosphere? High GRB efficiency ⇒ Radiation-dom. fireball ⇒ Radiative acceleration (g~3x10 4 cm s -2 on the sun) Light g Rough Idea Heavy ⇒ Large effective gravity ⇒ Heavy parts fall & grow ⇒ Shocks ⇒ Non-thermal Comoving Frame KI+ 07
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Unstable photosphere? High GRB efficiency ⇒ Radiation-dom. fireball ⇒ Radiative acceleration (g~3x10 4 cm s -2 on the sun) e±e± g Rough Idea Proton (+e) Proton (+e) Proton (+e) ⇒ Large effective gravity ⇒ Heavy parts fall & grow ⇒ Shocks ⇒ Non-thermal Comoving Frame KI+ 07
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e ± pair n ± >n e-p is not unlikely since m p ~10 3 m e Radiation pushes e ± more than e-p ~1 F thermal →e + e - If E ± ~E proton ⇒ n ± ~10 3 n e-p Not all e ± annihilate since ~1 Rees&Mészáros 05
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Spontaneous non-thermalization “Proton sedimentation” KI+ 07 push e ± not e-p → Relative V → 2-stream instability → p inhomogeneity → grow → shock → Non-thermal e ± heating ≈ cooling without fine-tuning even if t cool <t dyn
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Spectrum Shock (p-e ⇔ e ± ) ⇒ e ± acceleration ⇒ Inverse Compton Non-thermal energy ~Proton kinetic energy ~Afterglow energy ee ~1 N( e ) Electron spectrum ~ e -p Observed hardest one KI+ 07
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Blueshifted e ± line (bump) e ± bumps are predicted above continua Proof: If line<continuum, →e ± since >1 ⇒ line>continuum Check ~L 1/2 (Yonetoku) 0.5MeV x ~ 0.5 3 GeV GLAST KI+ 07 Pe’er+ 06
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e ± line & cutoff →e + e - Comoving size Murase&KI 08 Lithwick&Sari 01
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Closure relation ⇐ e ± cutoff ⇐ e ± photosphere Relation between only observables → Model checking Luminosity ∝ n (photon density) x (photon energy) Murase&KI 08 Gupta&Zhang 08 ⇒ Also, the emission radius r, , e ± -p ratio Even non-detection can constrain parameters
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Contents GRB emission mechanism Synchrotron vs. Photosphere Unstable photosphere ⇒ Non-thermal Blueshifted e ± line (bump) ⇒ GLAST Closure relations between e ± line & cutoff Suzaku/WAM + Swift/BAT Time-resolved E p -L iso (Yonetoku) relation E p -L iso relation for short GRBs Hypernova remnants as TeV unID sources Decay of accelerated radioisotope
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Time-resolved E p -L iso Suzaku WAM (50-5000keV) E p ~L iso 1/2 even for 1sec spectra (~Liang+ 04) GRB061007 All outliers belong to the pulse rising phase Synchro: E p ~(L/r 2 ) 1/2 Photo: E p ~( /r) 1/2 L 1/4 Ohno,KI+ 08 r expand / decelerate : Fireball dynamics
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E p -L iso for short GRBs Suzaku WAM (50-5000keV) EpEp L iso z-known short GRBs PRELIMINARY E p ~L iso 1/2 (Yonetoku) Ohno+ 08 Not satisfy the Yonetoku rela.? … because of no stellar envelope? E p ~L -1/4
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Self-created photosphere? No stellar envelope for short GRB ⇒ r photo ≠ r * ~n ± T (r/ )~1 E p ~ T’~( /r) 1/2 L 1/4 1. Assume energy equipartition ( ~matter) T’ 4 ~n p m p c 2 (w/o e ± )T’ 4 ~n ± m e c 2 (w/ e ± ) 2. Assume the photosphere model ~n p T (r/ )~1 E p ~ T’~( /r) 1/2 L 1/4 ⇒ E p ~ 2 L -1/4 : Anti-correlation? Self-determined photospheric radius
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Contents GRB emission mechanism Synchrotron vs. Photosphere Unstable e ± photosphere ⇒ Non-thermal Blueshifted e ± line (bump) ⇒ GLAST Closure relations between e ± line & cutoff Suzaku/WAM + Swift/BAT Time-resolved E p -L iso (Yonetoku) relation E p -L iso relation for short GRBs Hypernova remnants as TeV unID sources Decay of accelerated radioisotope
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Increasing TeV sources “Kifune plot” Jim Hinton, rapporteurtalk, ICRC 2007 In the TeV sky, most sources are unidentified!
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Observed properties TeV unID Disk ⇒ Galactic origin d~1-10kpc Extended
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Radioisotope acceleration GRB/Hypernova as RI beam factory 56 Ni ⇐ SN light curve ~2MeV Could be shock-accelerated before decay (by reverse shock?) 1998bw: M( 56 Ni)~0.4M ◉ KI&Mészáros
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RI decay model SNR disappears: good for explaining unIDs 56 Co case Hypernova OK 56 Co energy ~unIDs Radioactive Hypernova Remnant ~ TeV unID sources KI&Mészáros
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Summary GRB emission mechanism Synchrotron vs. Photosphere Unstable photosphere ⇒ Non-thermal Blueshifted e ± line (bump) ⇒ GLAST Closure relations between e ± line & cutoff Suzaku/WAM + Swift/BAT Time-resolved E p -L iso (Yonetoku) relation E p -L iso relation for short GRBs Hypernova remnants as TeV unID sources Decay of accelerated radioisotope
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Counter arguments? Steep decay Not so much delay v~c Residual collision (Li & Waxman 07) May not be curvature emisssion (Barniol Duran&Kumar 08) Opt Prompt optical emission Self-absorption is effective if the emission radius is small But it may be residual collision
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Decay properties Decay mode Half-life 56 Ni Electron capture 6.1 day (>10 4 yr: Ion) 56 Co EC (81%) 77.2 day + (19%) (x5: Ion) 57 Ni EC 35.60 hr +
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Spectrum (2-p)-1 F Exp. cutoff ~TeV t decay ~10 6 6 yr ~TeV 6 ~GeV Already decayedNow decaying t
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High energy e (2-p)-1 F Exp. cutoff ~TeV t decay ~10 6 6 yr ~TeV 6 ~GeV Already decayedNow decaying Similar as -ray Detection may be difficult t
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Swift – Short GRBs Short GRBs are really few? Sakamoto+07 Swift :< 150keV ⇒ short hard are missed?
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Suzaku/WAM – Short GRBs Tashiro+ 08
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