GRBs: open issues
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Transcript GRBs: open issues
Gamma Ray Bursts: open issues
Gabriele Ghisellini – Osservatorio di Brera
Brief history
Power
Short history of the paradigm:
internal vs external shocks
Afterglows: external shocks
The spectral-energy relations
GRBs for cosmology
Gamma-Ray Bursts: The story begins
Treates banning nuclear tests between USA and USSR in early 60s
VELA Satellites: X and soft g-ray detectors
Brief, intense
flashes of g-rays
Klebesadel R.W., Strong I.B., Olson R., 1973, Astrophysical Journal, 182, L85
`Observations of Gamma-Ray Bursts of Cosmic Origin’
Two flavours, long and short
Paciesas et al (2002)
Briggs et al (2002)
Koveliotou (2002)
SHORT
Shortest 6 ms
GRB 910711
LONG
Longest ~2000 s
GRB 971208
Short – Hard
Long - Soft
Spectra
Epeak
F ~ Ea
F ~ Eb
featureless continuum
power-laws - peak in F
Non thermal spectra
1997: The BeppoSAX satellite
NFI
Italian-Dutch
“Satellite per l’ Astronomia X”
Instruments
Wide Field Cameras:
5% of sky – positioning ~ 4’
+
Narrow Field Instruments
arcmin resolution
Slewing in several hours
Discovery of first afterglow!
28 February
GRB 97 0228
3 March
Optical id. host galaxy: redshifts
Cosmological origin !
~120 / 3000 with z: <0.1 – 6.3
(Batse, SAX, HETE-II, Integral, Swift, …)
Energy and Power
Huge isotropic
equivalent energy!
Assume
Isotropy
GRB typical Fluence
(i.e. time int. flux) is
10-8 – 10-4 erg/cm2
(1keV – 10 MeV)
119 GRBs with z
GRB are powerful
Planck power:
Mc2
Rg/c
=
c5
G
= 3.6x1059 erg/s
• AGN: L < 1048 erg/s
• SN: L < 1045 erg/s (in photons)
• GRB: L < 1053 erg/s
“first light” & PopIII
Probes of
far universe
chemical evolution
large scale structures
cover the epoch of re-ionization
Star Formation Rate
SNIa
Huge energy
Small Volume
Fireball
Invented even before knowing that GRBs are cosmological….
A short history of fireballs
1978 Cavallo & Rees: fireball: photons trapped by their own
pairs
1978 Rees: internal shocks in M87 to transport energy along the
jet
1986 Paczynski: Cosmological GRB L=1051 erg/s and T~1 MeV
1986 Goodman: Tobs remains T during expansion. Doppler balances
adiabatic cooling
1992 Pure fireball made by e+e- . Focussing by gravitation
e+e-
NS
A short history of fireballs
1978 Cavallo & Rees: fireball: photons trapped by their own
pairs
1978 Rees: internal shocks in M87 to transport energy along the
jet
1986 Paczynski: Cosmological GRB L=1051 erg/s and T~1 MeV
1986 Goodman: Tobs remains T during expansion. Doppler balances
adiabatic cooling
1992 Pure fireball made by e+e- . Focussing by gravitation
1992 Dirty fireball polluted by baryons. Re-conversion of bulk
kinetic into radiation through shocks with external medium
1994 Internal shocks due to shells moving with different G
Why internal shocks?
Spikes have
same duration
A process
that repeats
itself
“The” model:
Internal/External
Shocks
Rees-Meszaros-Piran
Shell still opaque
Relativ. e- + B:
synchrotron??
Relativ. e- + B:
synchrotron
Progenitors
Matheson et al. 2003
GRBs associated with SN (Ib,c)
SN
afterglow
A few spectroscopic ident. (underluminous?) Afterglow re-brightening
Faint (mR ~ 25 ) galaxies
Sites of star formation
Low metallicities
Bloom et al. 2002
Host galaxies
Progenitors
core collapse of massive stars (M > 30 Msun)
long GRBs
Collapsar or Hypernova
(MacFadyen & Woosley 1999)
GRB simultaneous with SN
?
Supranova – two-step collapse
(Vietri & Stella 1998)
GRB delayed by few months-years
compact object mergers (NS-NS, NS-BH)
short GRBs
Discriminants: host galaxies, location within host, duration,
environment, redshift distribution, ...
The engine
Formation of a spinning BH + dense torus,
sustaining B ~ 1014-1015 G
Accreting
torus
Extraction BH spin energy (0.29 MBHc2)
Extract E > 1052 erg
tGRB ~ 104 tdyn
Jets
Jet effect
Jet half
opening angle
G >> 1/
Log(F)
G 1/
Jet
break
Log(t)
GRB Jet measure
“Jet break”
Jet break time tbreak
Jet opening angle
Israel et al. 1999
“True” energetics
Etrue = Eiso (1 – cos )
Bloom et al. 2003
Frail et al. 2001
Isotropic equivalent energy
Peak energy – Isotropic energy Correlation
Amati et al. 2002
9+2 BeppoSAX GRBs
Nava et al. 2006; Ghirlanda et al. 2007
1- cos qjet
Luminosity distance
Ghirlanda, Ghisellini, Lazzati & Firmani 2004
redshift
Problems:
1: Efficiency
Efficiency=Radiated/total energy
Only the RELATIVE kinetic energy can be used!
Dynamical efficiency (%)
Shells of
equal masses
5%
Gfinal ~ (G1G2)1/2
Shells of
equal
energies
A lot of kinetic energy should remain to power the afterglow
Piro astro-ph/0001436
Prompt
SAX X-ray
afterglow
light curve
Willingale et al. 2007
SWIFT
Eafterglow < Eprompt
Problems:
2: Early “afterglow”
Piro astro-ph/0001436
Good old times
Now: a mess
GRB 050904
z=6.29
Panaitescu 2006
X
Opt.
X-ray and optical behave differently
X-rays:
steep-flat-steep
TA
Early (normal) prompt: G>>1/qj
Late prompt: G>1/qj
”real”
afterglow
Late prompt: G=1/qj
Late prompt: G<1/qj
Ghisellini et al. 2007
Long lasting engine??
• Rs/c ~ 10-4 s (for a 10 solar mass BH)
• Even 10 s are 105 dynamical times
• Two-phase accretion?
Conclusions
“Paradigm”: internal+external shocks,
synchrotron for both: it helps, but it is
limiting
Efficiency is an issue
Progenitors for long: done. For short: not
yet
Central engine? How long does it live?
GRBs as probes of the far universe
(continue…)
There can be a Black Body … but
Ghirlanda et al. 2007b
Time integrated
spectrum
Time resolved
spectra
The same occurs
for ALL GRBs
detected by
BATSE and with
WFC
Memory
EF(E)
cts/sec
Ghirlanda PhD thesis
Epeak =509
keV
Epeak = 390
keV
EF(E)
EF(E)
Time [sec]
Epeak =503
keV
Epeak = 416 keV
GRB spectrum evolves with time within single bursts
a
b
k
Epea
phot /cm^2 sec
Hard to Soft
evolution
Epeak, a(t), b(t)
Decrease independent
of the rise and decay
of the flux
Tracking evolution
Photon flux
Correlated with
Epea
Epeak(t), a(t) , b(t)
k
a
b
time
By construction, internal shocks
should all be equal.
Then, why does the spectrum evolve?
a
b
Epeak
Fishman & Meegan 1995
Spectra
Spectra
Prompt radiation:
Synchrotron?
Energy spectrum of a cooling electron
Fast cooling
+ synchro:
E()
N()
-1/2
-3/2
Typical synchrotron frequency
syn
= 3.6x106Bg2G/(1+z) Hz
Magnetic field from:
LB =
eBLkin
R2G2B2c =
eBLshell
Size from:
R ~ R0G2 (internal shock)
1/2 1/2
B ~
eB Lshell
G3 R0
Electron energy from:
gmec2=eempc2(G’-1) ~ eempc2
g ~ eemp/me
Synchrotron g-ray emission?
2 1/2
e1/2
e
B
e Lkin,shell,50
hsyn ~ 400 keV
2
G3 R0,7 (1+z)
tcool ~ 10-7
ee
3
(G/100)
2
MeV
sec
Extremely short - No way to make it longer
tcool << tdynamical ~ 10-2 sec
It must be short, if not, how can the flux vary?
0.2 ms
More than exponential
F ~ 1/3
Preece et al.
F ~ -1/2
-2
-1
0
Low energy photon power law index
1
-a
N(E) = kE
Can it be rescued by:
Reacceleration? No, in ISS e- are
accelerated only once
Adiabatic losses? No, too small regions
would be involved, too much IC
Self absorption? No, lots of eneeded, too much IC
Self Compton? No, tcool too small even
in this case
Clustering of the
optical luminosities
s=0.48
Nardini et al. 2006
Flux vs observed time
s=0.28
Nardini et al. 2006
Luminosity vs rest frame time
Swift GRBs
Pre-Swift
21
3
+Swift
5
Dark??
27
Lx @ 12 hours
pre-Swift (19)
Including Swift
(30)
G1=100, G2=200
Thompson, Meszaros & Rees 2007
At R ~ Rstar the fireball dissipates part of its
energy BB
L ~ q2 Liso
q2 ~ L/Liso
Liso ~ R2 s G2 T’4
~ (R/G)2 s T4
G = 1/q
Liso ~ R2 (L /Liso)T4 Epeak ~ Liso1/2L-1/4
A short history of fireballs
Short Bursts
The spectrum of short bursts
harder
softer
harder because a is
harder, Epeak is the
same or even smaller
Ghirlanda et al. 2004
long
short
Log Epeak
Log a
Density
Star forming regions are dense
GRB – Afterglow – Temporal
GRB emission
Properties
in X, Optical
Panaitescu & Kumar
Firmani et al. 2004
L-1.5+-0.05
No corr.
Lx > Lopt
Lopt more clustered than Lx
vc between optical and X-rays
~same values of eB, ee, Ek,iso
moderate cooling (small eB)
large Comptonization y parameter
different p
Frail et al. 2001
Frail et al. 2001
Best n
from fits
Bloom et al. 2003
Universal energy reservoir?
Frail et al. 2001
Same energy, different angles?
Structured jets
qjet
E(q)=const
E(q)=E0q-2
f(L) = kL-2
qview
Universal Epeak?
Preece et al.
~200 keV, observer frame
BATSE
HETE II
1/2
Epeak = 100 keV Eiso,52
+
Eiso = Etrue/Q2
Epeak = 1/Q
Amati et al. +Lamb et al.
The “Amati et al.” relation