Hot Relics in GRB Photosphere and GeV Photon Delay Kunihito Ioka (KEK)
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Transcript of Hot Relics in GRB Photosphere and GeV Photon Delay Kunihito Ioka (KEK)
Hot Relics in GRB Photosphere and GeV Photon Delay
Kunihito Ioka (KEK)
Contents
Very High Lorentz Factor (VHLF)Gmax can be up to ~106 (> Gmax,conv~103)
Internal Shock Synchrotron⇒ Power-law component over >7 decades
c tdelay ~ Baryon Load Radius~ Progenitor Radius ~ 1010cm
Neutrino – GeV g Anti-Correlation
Fermi Revolution
Abdo+ 09Ohno’s talk
MeV
GeV
GeV onset delay gg→e+e-
⇒ G>103
~1 sec
Fermi Revolution
Abdo+ 09Ohno’s talk
GRB 090902B
GRB 090510
Band component+ Power Law
Band ~ Black body-like⇒ Photosphere emission
GeVkeV
Hurley+94Gonzaletz+03
Photosphere-Internal-External Shock Model
Photo-sphere
InternalShock
ExternalShock
€
νFν
€
νkeV MeV GeV
Toma, Wu & MeszarosKumar & Barniol Duran 09Ghisellini+09, Wang+09Corsi+09, Gao+10
Variable Long-lived
Amati/Yonetoku Relation
L T∝ 2
€
L = 4πr02aT0
4
Tobs ~ T0
L T∝ 4
Yonetoku+KI 03[Ghirlanda’s talk]
A Distance Indicator
Fireball Dissipation
ln r
€
L = 4πrb2aTb
4
Tb ∝ rb−1 2L1 4
r0 rb
G
rshrph
Tobs
Gm
For Yonetoku Rel.
€
rb ∝Γm−1 ∝ L−1 2
Rees & Meszaros 05Thompson+ 07Ghisellini+ 07Ryde & Pe’er 09KI+07
Radiation
in Comoving
Proton
Energy Densityafter Shock
pp collision thick pp collision thin
Accelerated to Very High
Radiation Dominated
€
Γm
€
′ U γ ~ ′ U p>> ′ U p,rest
€
Γc ~ Γm2
€
~ 104 −106( )
€
′ γ p ~ Γm
€
~ 102 −103( )
€
(A) Ekinetic << Eγ ⇐ E internal( )
€
(B) Eγ ~ Ekinetic ⇐ E internal( )
~ Hot Relicsin Cosmology
Conventional Fireball
Gmax~103
Meszaros & ReesShemi & PiranPaczynskiGoodman
Baryon-LessBaryon-Rich
Reheated Fireball
Gmax~106!
KIin prep.
Baryon-LessBaryon-Rich
Internal Shock Synchrotron
KIin prep.
For Moderate GToma+10
G~103
Max Synchrotron Energy
€
′ t acc = ′ t cool
€
νmaxcool =
mec2
αΓ ~ 500 GeV
Γ
104
⎛
⎝ ⎜
⎞
⎠ ⎟
€
′ t acc = ′ t dyn
€
νmaxdyn ~ 1 GeV
Γ
6 ×104
⎛
⎝ ⎜
⎞
⎠ ⎟−6
GRB 090926 Break??
A target for CTA
Very High Lorentz Factor (VHLF) case
Wang+ 09Piran & Nakar 10Barniol Duran & Kumar 10
KI in prep.
GeV Onset Delay
pp Collision Thick Thin⇒[Baryon-rich Barion-less]⇒
€
νFν
€
νFν
€
νFν
Time
MeV g
GeV g
TeV n
Time
Time
€
η
Time
€
ηk1
pp thin
pp thick
pp→p→nen~Gm
2mpc2>0.1TeV
TeV n – GeV g Anti-Correlation
Baryon-less
Baryon-rich
Summary
Very High Lorentz Factor (VHLF)Gmax can be up to ~106 (> Gmax,conv~103)
Internal Shock Synchrotron⇒ Power-law component over >7 decades
c tdelay ~ [rm=rpp~L-1/5] ~ Rstar ~ 1010cm
Neutrino – GeV g Anti-Correlation
Two-Mass Collision
Coasting Gc~Gm2
Mass=ErGr/Gm2<10− 8M ( available at Rstar)
€
E rΓr + Mc 2 = Γm Mc 2 + Em( )Γm
E r Γr2 −1 = Γm Mc 2 + Em( ) Γm
2 −1
Energy
Momentum
€
⇒ Γm ~E rΓr
2Mc 2∝ L1 2
€
E r
Γr
< Mc 2 < E rΓr
⎛
⎝ ⎜
⎞
⎠ ⎟
YonetokuRelation
€
Em ~ Γm Mc 2 Before dissipation,rela. matter E ~ radiation E