SLIDE 22 Modeling GRB 090510 Modeling GRB 090510 Multiwavelength Multiwavelength Data Data
CRIS 2010, CRIS 2010, Catania Catania
22 22
XRT light curve: XRT light curve: t t
- 0.74±0.03
- 0.74±0.03 in between
in between ~100 s ~100 s and and 1.4 1.4 ks ks
Model with Model with e e-
synchrotron in the fast-cooling and for in the fast-cooling and for ν νXRT
XRT >
> ν νm,e
m,e >
> ν νc,e
c,e
k k = (4/3) = (4/3)α αXRT
XRT + 2/3 = 1.65 ± 0.04 ;
+ 2/3 = 1.65 ± 0.04 ; β βXRT
XRT =
= k k/2 = 0.83 /2 = 0.83 ± 0.02 ± 0.02
LAT light curve: LAT light curve: t t
- 1.38±0.07
- 1.38±0.07 in between
in between ~0.3 s ~0.3 s and and 100 s 100 s
Model with Model with p p-
synchrotron in the slow-cooling and for in the slow-cooling and for ν νm,p
m,p
< < ν νLAT
LAT
< < ν νc,p
c,p
k
k2
2 = (4/3)
= (4/3)α αγ
γ +
+ 1 = 2.84 ± 0.09 ; 1 = 2.84 ± 0.09 ; β βγ
γ = (
= (k k2
2 - 1)/2 = 0.92 ± 0.05
β βγ
γ
needs to be compatible with measured LAT needs to be compatible with measured LAT photon index photon index (and it is) (and it is)
Parameters such as Parameters such as n nISM
ISM
and and Γ Γ0 are mainly constrained by are mainly constrained by t tdec
dec
≤ ≤ 0.3 s 0.3 s
Parameters such as Parameters such as E Ek
k, ,iso iso ,
,ε εB
B ,
,
η
ηe
e ,
,
η
ηp
p
are are set to produce required fluxes set to produce required fluxes
Parameters Parameters ε εe
e ,
,
ε
εp
p are calculated from other parameters and constrained
are calculated from other parameters and constrained <1 <1
UVOT light curve is constrained by XRT UVOT light curve is constrained by XRT ( (e e-synchrotron
)
BAT light curve can not be fitted BAT light curve can not be fitted continued central engine activity continued central engine activity
Use closure relations Use closure relations Fν ∝ ν−β t−α to determine to determine β β and and k k
k k2
2
Note: Note: e e-synchrotron
- synchrotron model alone cannot satisfy the closure relations
model alone cannot satisfy the closure relations