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Origin of the X-Ray Flashes. 京大天体核 D3 山崎 了. 共同研究者 : 井岡 邦仁 ( 阪大 ) 、中村 卓史 ( 京大 ). Ref. Yamazaki et al., astro-ph/0401044. X-ray band. γ - ray band. Light Curves of XRFs & GRBs. X-ray flash (XRF). γ-ray burst (GRB). GRB. XRF. Ep=19 keV. Ep=126 keV.
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Origin of the X-Ray Flashes 京大天体核 D3 山崎 了 共同研究者 : 井岡 邦仁(阪大)、中村 卓史(京大) Ref. Yamazaki et al., astro-ph/0401044
X-ray band γ- ray band Light Curves of XRFs & GRBs X-ray flash (XRF) γ-ray burst (GRB)
GRB XRF Ep=19 keV Ep=126 keV Spectral properties of XRFs and GRBs Double power-low form fits spectra of XRFs and GRBs. Photon indices α, β (スペクトルの傾き) は GRB と XRF で同じ。 XRF の Ep (peak energy) は GRB のものよりも小さい。
XRF(X-ray rich GRB) と GRB の ・ スペクトル以外の性質(duration, event rate 等) は同じ。 ・ 観測量の分布は連続的。 ⇒ 両者の起源は同一であると考えられている。 GRB X-ray rich GRB XRF (1+z) Ep ∝ Eiso1/2 (for GRBs and XRFs with known redshifts) Rest frame Ep - Eiso relation
Theoretical Models of the X-ray flash • High redshift GRBs (Heise et al. 2001) • External shocks with small Lorentz factors (Dermer et al. 1999; Rossi et al. 2001) • Internal shocks with high Lorentz factors (Mochkovitch et al. 2003) • Photosphere-dominated fireball (Meszaros et al. 2002; Drenkahn 2002) • Jets with wide opening angles (Lamb et al. 2003) • Off-Axis GRBs (Yamazaki et al. 2002, 2003) ’ ’
νFν X-ray band γ-ray band XRFs GRB relativistic beaming effect GRBs XRF jet (γ~100) ν relativistic Doppler effect Off-Axis Jet Model of XRFs The X-ray flashes (and the soft GRBs) are the typical GRBs observed from off-axis viewing angle.
LOS Ep - Eiso relation in off-axis jet model Ep~ ν0δ ν0 : frequencyin the jet-comoving frame δ-1 = γ(1-βcosθ)~[1+ (γθ)2]/(2γ) γ= 100 : Lorentz factor of the jet θ=θv- Δθ (<< 1 ) Eiso ∝δ1-α α= -1~-2 : photon index ⇒ Ep ∝ Eiso1/(1-α) ~ Eiso1/3~1/2
Line of sight Jet Emission Model (Yamazaki et al. 2003) ・Spontaneous emission from instantaneously thin shell. ・Normalization of emissivity; isotropic γ-ray energy from the source with z = 1 and θv= 0 satisfies Eγ= Eiso (Δθ)2 /2= 1×1051 ergs (Bloom et al. 2003) where Eiso = 4πdL2 (1+z)-1 Sγ ( Sγ; obs. fluence ) ・Emission spectrum in the comoving frame
Δθ/γ-1 =10 Δθ/γ-1 = 5 Maximum redshift to be detected by HETE γ = 100 α = -1 β = -2.5 γν’0= 500 keV zmax : maximum redshift Slim(2-400 keV) = 5×10-8 erg/cm2 Viewing angle θV / γ-1
for z=0, θV=0 Input parameters(10,000 events) α β z Δθ
Soft events (<100 keV) are off-axis emissions! 209 on-axis events 79 off-axis events obs. best fit 62 GRBs 192 XRR-GRBs 34 XRFs +: detected by HETE (on-axis) × : detected by HETE (off-axis) ・ : not detected by HETE Result of Simulation : Ep – Eiso relation HETE detects 288 events among 10000 simulated bursts.
The Ep-Eiso relation, the Ep-distribution, the hardness distribution etc. depend on the unknown functional form of the opening angle distribution. ⇒ Ep-Eiso relation constrains the jet opening angle distribution, and therefore the ratio of GRBs to core-collapse SNe !!! Summary Off-axis emission from z~1 can be observable. The Ep-Eiso relation may be reproduced by the off-axis jet model : off-axis emission represents large portion of the X-ray flash.