Afterglows of Gamma-Ray Bursts

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							Central Engines of Gamma-Ray
     Bursts & Supernovae

             S. R. Kulkarni
   California Institute of Technology
   http://www.astro.caltech.edu/~srk


                                        1
  My summary of what we know
         about GRBs
• GRBs are highly collimated explosions and possess central
  engines which drive the explosion
• Long duration GRBs are deaths of massive stars (SN Ib/c
  connection)
• There is growing evidence of underenergetic GRBs (e.g.
  980425, 030329, 031203) with engines outputing a mix of
  ejecta: ultra-relativistic ( >100), relativistic( >10) and
  mildly relativistic ( >2) ejecta
• The fraction of nearby Ib/c supernovae with features
  indicative of a central engine is small, less than 10%.

                                                             2
 GRB-SN: Complete Unification
All core collapse events are the same.
   –   GRBs are explosions viewed on axis
   –   XRFs are explosions viewed off axis
   –   GRB 980425 is an off-axis GRB
   –   In all cases, underlying SNe
                                          Lamb, Nakamura, …
In favor:
     Simplicity
     Peak energy-luminosity correlation


                                                              3
       SN-GRB: No Unification
•    GRBs are not standard explosions (energy, opening
     angle)
• XRFs are not GRBs viewed sideways and likely lower
     energy explosions
• SN 1998bw is an engine driven SN but with a weak
     engine
• In most core collapses the influence of engines is likely
     to be small or subtle.
In favor:
  The existence of sub-energetic events (e.g. 031203, SN
     1998bw).
                                                              4
     Related Issues: The Engine
• What is the energy release of GRB engines? Are all GRBs
  hyper-energetic (>1 FOE)?

• Gamma-ray emission arises from ultra-relativistic ejecta
  (Г>100). There is clear evidence for collimation
  of this ejecta.
   – Is there energy released at lower Lorentz factors?
       • Lorentz factor, Г > 10 (relativistic ejecta) ->
         X-ray
       • Lorenta factor, Г > 2 (moderately
         relativistic ejecta) -> Radio
   – If so, is this energy released with the same opening
     angle as the relativistic ejecta?
                                                             5
  Related Issues: The Supernova
• Do all long duration GRBs have an underlying SN?

• What is special about SNe associated with GRBs?
   – Are these SNe always hyper-energetic or hyper-kinetic (cf SN
     1998bw)?
   – In ordinary core collapse, nucleosynthesis (radioactive Nickel) is a
     major byproduct of the explosion and in turn influence the
     subsequent evolution. How about for GRB explosions?

• What is the connection between nearby Ibc SNe and GRBs?
   – Is asymmetry essential for a supernova to explode?


• Where do XRFs, which share many attributes with GRBs,
  fit in the current framework of long duration GRBs?
                                                                        6
 Goal: Search for the Ultimate Explosions in the Universe

              Coalition of the Willing & Dedicated

                 Edo Berger, Brad Cenko & Alicia Soderber
                 Avishay Gal-Yam, Derek Fox, Dae-Sek Moon
                 Fiona Harrison
                 Dale Frail

                 The Great Caltech-Carnegie Axis

                 From smaller states:
                 Paul Price (Hawaii)

The Bad Guys: The Rest of the World (Baltimore, Europe, East Coast) etc


       Now is the time for Penn State to be with us or against us   7
Energetics




             8
    Light Curves provide Evidence for Collimation

t < tjet
                                 log f
high 




                                            |
t > tjet                                   tjet     log t
                                  log f
low 




                                            |           log t
                                                    9
                        Rhoads             tjet
GRB Energetics: Tiger becomes Lamb


                                    Before
                                 the beaming
                                 correction
                                 (isotropic)



                                    After
                                 the beaming
                                 correction



                                          al.)
                                (Frail et 10
 Radio Afterglows: Angular Size and Calorimetry

Radio Light Curves at 8.5 GHz




                                                  11
                 Calorimetry
• Afterglow estimates sensitive to jet opening angles
• At late times the blast wave becomes non-
  relativistic and rapidly becomes spherical. Thus
  one can apply minimum energy method (or
  variations) with confidence.
• Radio observations have confirmed that the
  overall energetics scale is correct and in some
  cases evidence for copious amount of mildly
  relativistic ejecta.
                                                   12
GRB 980703: Non-relativistic Transition




                                          13
GRB 030329: Non-relativistic Transition


                         Scaled to nu-0.6




                                            14
         and the latest ….
                  • GRB 030329, 24 days after
                    the burst
                     – VLBA+Bonn at 22 GHz
                  • Marginally resolved at 0.08
                    milliarcsec
                  • In line with expectations
                    from the fireball model
0.45 x 0.18 mas      – superluminal expansion (5c)

                           Taylor et al.

                                                15
GRB 030329: No proper motion




                               16
Conclusion: Energetics inferred
 from afterglow modeling are
          reasonable



                                  17
The Clues




            18
     Clue 1: The second nearest GRB 030329 is
                      peculiar

                    Puzzle: A single fireball does not account for
                            radio & X-ray emission

                                              A possible solution:
                                              (1) a narrow, ultra-relativistic jet
                                                  with low energy which produces
                                                  X-ray & optical
                                              (2) a wide, mildly relativistic jet
                                                  carrying the bulk of the energy
                                                  and powering the radio

Berger et alJet break
            in prep.




                                                                             2003
                                                               Berger et al.19
Clue 2: The nearest GRB 031203 is a
   cosmic analog of GRB 980425
• Localized by IBIS (Gotz et al)
• XMM TOO observations (Watson)
• Plethora of ground-based optical
• Radio afterglow candidate identified (1 arcsec)
• Putative host galaxy coincident with radio source
  at z=0.1 identified (Bloom)
• Discovery of X-ray scattered halo from XMM
  observations (Vaughn)
• Continued VLA monitoring shows event is weak
  and a weak explosion       (Soderberg et al. 2004)
                                                     20
Clue 3: Flat Early Light Curves




                                  21
                                  Fox
Clue 4: First redshift is low (z=0.25)




                                            Soderberg et al

                Energy in the Explosion (Prompt): 1049 erg
                (low compared to GRBs)

               No evidence for off-axis model (optical
               flux declines)
               However, evidence for mildly relativistic
               ejecta from radio afterglow
                                                       22
Clue 5: SN 1998bw/GRB 980425, a severely
            underluminous GRB




                           E~1048 erg (isotropic)
                Galama et al.                        23
24
         Clue 5b: Mildly Relativistic Ejecta in SN
                         1998bw

                E~1048 erg




                                                         Kulkarni et al

Mildly relativistic ejecta vastly exceeds gamma-ray energy relese
                                                                25
          Was GRB 980425 an off-axis event?

                                    • Six years of radio
                                    monitoring: No
                                    evidence for off-axis jet.
                                    • Off-axis jet (if
                                    present) requires a very
                                    low mass rate: A* ~
                                    0.03, not consistent
                                    with inferred density




                                                     26
(Soderberg, Frail, Wieringa 2004)
Clue 6:Studies of Local Ibc SNe
                            Questions:

                ●   [1] What is the fraction of SN
                    1998bw-like supernovae?
                ●   [2] Are Ibc Sne powered by
                    engines?
                ●   [3] What is the fraction of off-
                    axis GRBs?


                            Alicia M.
                           Soderberg
                            (PhD Project)

                    VLA & ATCA (Radio)
                     Palomar 60-inch (Optical
                    Light Curves)
                     Chandra
                                             27
                Summary of Radio Observations (1998-2004)




(Kulkarni et al., 1998; Weiler et al. 1998; Berger et al. 2002; Soderberg et al.
                                                                          28
2004)
Conclusion: Hyperkinetic or Hyperenergetic optical events
                                                          29
            appear not to have special engines
SN2003bg – Multiple Episodes of Energy
              Input ?


                                      SN2003bg:
                                      Energy~3

                                      SN1998bw:
                                      Energy=2.6



                                              30
                 (Soderberg et al., 2004)
Explosion Energies of Local Ibc & GRBs




               2003L & 2003bg




 Conclusion: SN 1998bw-like events are rare
                                              31
32
Putting it altogether: Engine




                            Soderberg
                               33
Putting it altogether: Nucleosynthesis




                                           34
                                HST proposal approved!
                Summing up
• A number of events are sub-energetic in the
  gamma-ray/X-ray band but more energy in the
  radio afterglow (by x10)
• Curiously these are the nearest events
• In only a small fraction of local Ib/c (100 Mpc) is
  there evidence for energy addition over extended
  time
=> Superonovae explosions are two-parameter
  family: nucleosynthesis and engine

                                                        35
36
Scenarios for
SN1998bw


GRB/SN < 7%
Soderberg et al. 2004




GRB/SN < 3%
Berger et al. 2003

                        37
VLA Radio Observations of SN
          2003L




                               38
39
  SN 1998bw: “Hypernova?”

• Large Velocity Width
• Larger Explosive Yield: 3-10 FOE
                       Iwamoto et al, Woosley et al, Hoefflich et al.


Hypernova designation not well defined, yet.
   Large velocity width?
   Large Energy release?

                                                                        40
   SN 1998bw is UNUSUAL

 Copious (mildly) relativistic outflow
 Energy addition
 Associated with gamma-ray burst

   => Engine Driven Explosion (“Hypernova”)


                              Kulkarni et al, Li & Chevalier, Pian e al.




                                                                           41
            The Future is Bright
• HETE, Integral, IPN in operation
• Imminent launch of SWIFT (Sep 2004)
• Dedicated ground-based experiments
       ROTSE, TAROT, BOOTES, REM, NGAT…
       Rapid Response by Premier Facilities (VLT, HST, Chandra..)

        At Palomar we have robotocized the 60-inch telescope and
 ready to go!



                                                                    42
              New Missions
•   AGILE, GLAST (GeV Missions)
•   Milagro (TeV Telescope)
•   ICECUBE (neutrino)
•   LIGO (gravitational wave)
•   AUGER (ultra-high energy cosmic rays)



                                            43
           SN1998bw – an engine-driven
                      SN
                       Case2 : quasi-spherical
                       relativistic ejecta
                       (unknown %)




            Case 1: off-axis (0.5 %)                        44
observer                                         observer
 Type Ibc
   Radio
Lightcurves




                                                            45
              (Kulkarni et al., 1998; Weiler et al. 1998)
 Type Ibc
   Radio
Lightcurves
1999-2002:
28 limits
& SN2002ap

2003-present:
23 limits
& SN2003L


SN/GRB < 2%                                   46
                (Soderberg et al. in prep.)
 Type Ibc
   Radio
Lightcurves
1999-2002:
28 limits
& SN2002ap




                                     47
              (Berger et al. 2002)
Radio Emission from SN 1998bw




                                           48
                          Kulkarni et al
              What is SN 1998bw?
• An off-axis cosmological GRBf Nakamura …
• A new beast, an under-energetic engine explosion
  Kulkarni, Chevalier & Li



             Developments
 There is no evidence for energy addition on
 timescales of months to years (Soderberg et al)
 SN 1998bw is rare in the local population of Ibc
 SNe (based on Ibc VLA survey of Berger et al)

                                                    49
        Type Ic SN 2003L in NGC 3506

Optical Discovery: Jan 12 2003
(Boles, IAUC 8048)
MV = -18.8 (before maximum)
d = 92 Mpc



Spectroscopic ID: Jan 25, 2003
(Valenti et al. IAUC 8057;
Matheson et al. GCN 1846)
normal Ic; v~5900 - 12,000 km/s
cf: SN1998bw: v~15,000 - 30,000 km/s
cf: SN2003dh: v~20,000 - 40,000 km/s
                                       50
SN2003L Modeling Results




                                        51
              (Soderberg et al. in prep.)

						
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