Astronomy & Astrophysics

All Figures

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f1.eps} \end{figure}$ Figure 1: The expected spectrum of a fireball with its rest frame radiation being the GRB form of $\alpha _0=-1$ and $\beta _0=-2.25$ plus the two emission lines defined by (8) and (9), observed at time t, where we take $% 2\pi I_0\nu _{0,\rm p}\widetilde{R}^2(t)/D^2=1$ . The solid lines from the bottom to the top correspond to $\Gamma =1,2,10,100,1000,10~000$ , respectively.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f2.eps} \end{figure}$ Figure 2: The expected spectrum of a fireball with its rest frame radiation containing the two weak emission lines defined by (10) and (11), where other parameters and the symbols are the same as those adopted in Fig. 1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f3.eps} \end{figure}$ Figure 3: The expected spectrum of a fireball with its rest frame radiation containing the two broad emission lines defined by (12) and (13), where other parameters and the symbols are the same as those adopted in Fig. 1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f4.eps} \end{figure}$ Figure 4: The expected spectrum of a fireball with its rest frame radiation containing the two narrow absorption lines defined by (14) and (15), where other parameters and the symbols are the same as those adopted in Fig. 1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f5.eps} \end{figure}$ Figure 5: The expected spectrum of a fireball with its rest frame radiation containing the two broad absorption lines defined by (16) and (17), where other parameters and the symbols are the same as those adopted in Fig. 1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f6.eps} \end{figure}$ Figure 6: The expected spectrum of a fireball with its rest frame radiation containing the two weak broad absorption lines defined by (18) and (19), where other parameters and the symbols are the same as those adopted in Fig. 1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f7.eps} \end{figure}$ Figure 7: The expected spectrum of a fireball with its rest frame radiation containing the two emission line forests defined by (20)-(27), where other parameters and the symbols are the same as those adopted in Fig. 1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f8.eps} \end{figure}$ Figure 8: The expected spectrum of a fireball with its rest frame radiation containing the two absorption line forests defined by (28)-(35), where other parameters and the symbols are the same as those adopted in Fig. 1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f9.eps} \end{figure}$ Figure 9: The expected spectrum of a fireball containing in its rest frame radiation the two time dependent intensity emission lines [confined by (39)] for observation time t₁ [defined by (40)], where we take $2\pi I_0\nu _{0,\rm p}\widetilde{R}^2(t_1)/D^2=1$ . The solid lines from the bottom to the top correspond to $\Gamma =1,2,10,100,1000,10~000$ , respectively, and the dotted lines (some are totally overlapped by the corresponding solid lines) are those presented in Fig. 1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f10.eps} \end{figure}$ Figure 10: The expected spectrum of a fireball containing in its rest frame radiation the two time dependent intensity emission lines for observation time t₂ [defined by (41)], where we take $2\pi I_0\nu _{0,\rm p}\widetilde{R}% ^2(t_2)/D^2=1$ . Other parameters and the symbols are the same as those adopted in Fig. 9.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f11.eps} \end{figure}$ Figure 11: The expected spectrum of a fireball containing in its rest frame radiation the two time dependent intensity emission lines for observation time t₃ [defined by (42)], where we take $2\pi I_0\nu _{0,\rm p}\widetilde{R} ^2(t_3)/D^2=1$ . Other parameters and the symbols are the same as those adopted in Fig. 9.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f12.eps} \end{figure}$ Figure 12: The expected spectrum of a fireball with a variable Lorentz factor, where the initial Lorentz factor is $\Gamma _{\rm c}=2$ and the radiation concerned is that discussed in Sect. 2. We take $R_{\rm c}/c=1$ , $2\pi I_0\nu _{0,\rm p}R_{\rm c}^2/D^2=1$ , and $k=10k_0(p=10,\Gamma _{\rm c}=2,R_{\rm c}/c=1)$ . The solid lines from the bottom to the top correspond to p=0,10, respectively, and the dotted lines (some are totally overlapped by the corresponding solid lines) are those presented in Fig. 1.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f13.eps} \end{figure}$ Figure 13: The expected spectrum of a fireball with a variable Lorentz factor, where $\Gamma _{\rm c}=10$ and $k=10k_0(p=10,\Gamma _{\rm c}=10,R_{\rm c}/c=1)$ . Other parameters and the symbols are the same as those adopted in Fig. 12.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f14.eps} \end{figure}$ Figure 14: The expected spectrum of a fireball with a variable Lorentz factor, where $\Gamma _{\rm c}=100$ and $k=10k_0(p=10,\Gamma _{\rm c}=100,R_{\rm c}/c=1)$ . Other parameters and the symbols are the same as those adopted in Fig. 12.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f15.eps} \end{figure}$ Figure 15: The expected spectrum of a fireball with a variable Lorentz factor, where $\Gamma _{\rm c}=1000$ and $k=10k_0(p=10,\Gamma _{\rm c}=1000,R_{\rm c}/c=1)$ . Other parameters and the symbols are the same as those adopted in Fig. 12.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f16.eps} \end{figure}$ Figure 16: The expected spectrum of a fireball with a variable Lorentz factor, where $\Gamma _{\rm c}=10~000$ and $k=10k_0(p=10,\Gamma _{\rm c}=10~000,R_{\rm c}/c=1)$ . Other parameters and the symbols are the same as those adopted in Fig. 12.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f17.eps} \end{figure}$ Figure 17: The expected spectrum of a fireball with a variable Lorentz factor, where we take p=10 and $k=10k_0(p=10,\Gamma _{\rm c},R_{\rm c}/c=1)$ and consider different values of the initial Lorentz factor $\Gamma _{\rm c}$ . The solid lines from the bottom to the top correspond to $\Gamma _{\rm c}=10,20,50,100,200,500,1000$ , respectively, and the dotted lines from the bottom to the top are the $\Gamma =10$ and $\Gamma =100$ lines presented in Fig. 1. Other parameters are the same as those adopted in Fig. 12.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f18.eps} \end{figure}$ Figure 18: The expected spectrum of a fireball with a variable Lorentz factor, where we take $\Gamma _{\rm c}=300$ and $k=10k_0(p=10,\Gamma _{\rm c}=300,R_{\rm c}/c=1)$ and consider different observation times, which are represented by different values of p, respectively. The solid lines from the bottom to the top correspond to p=0,1,3,10,100,1000,2000, respectively, and the dotted lines from the bottom to the top are the $\Gamma =100$ and $\Gamma =1000$ lines presented in Fig. 1. Other parameters are the same as those adopted in Fig. 12.
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In the text

$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f1.eps} \end{figure}$	Figure 1: The expected spectrum of a fireball with its rest frame radiation being the GRB form of $\alpha _0=-1$ and $\beta _0=-2.25$ plus the two emission lines defined by (8) and (9), observed at time t, where we take $% 2\pi I_0\nu _{0,\rm p}\widetilde{R}^2(t)/D^2=1$ . The solid lines from the bottom to the top correspond to $\Gamma =1,2,10,100,1000,10~000$ , respectively.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f2.eps} \end{figure}$	Figure 2: The expected spectrum of a fireball with its rest frame radiation containing the two weak emission lines defined by (10) and (11), where other parameters and the symbols are the same as those adopted in Fig. 1.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f3.eps} \end{figure}$	Figure 3: The expected spectrum of a fireball with its rest frame radiation containing the two broad emission lines defined by (12) and (13), where other parameters and the symbols are the same as those adopted in Fig. 1.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f4.eps} \end{figure}$	Figure 4: The expected spectrum of a fireball with its rest frame radiation containing the two narrow absorption lines defined by (14) and (15), where other parameters and the symbols are the same as those adopted in Fig. 1.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f5.eps} \end{figure}$	Figure 5: The expected spectrum of a fireball with its rest frame radiation containing the two broad absorption lines defined by (16) and (17), where other parameters and the symbols are the same as those adopted in Fig. 1.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f6.eps} \end{figure}$	Figure 6: The expected spectrum of a fireball with its rest frame radiation containing the two weak broad absorption lines defined by (18) and (19), where other parameters and the symbols are the same as those adopted in Fig. 1.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f7.eps} \end{figure}$	Figure 7: The expected spectrum of a fireball with its rest frame radiation containing the two emission line forests defined by (20)-(27), where other parameters and the symbols are the same as those adopted in Fig. 1.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f8.eps} \end{figure}$	Figure 8: The expected spectrum of a fireball with its rest frame radiation containing the two absorption line forests defined by (28)-(35), where other parameters and the symbols are the same as those adopted in Fig. 1.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f10.eps} \end{figure}$	Figure 10: The expected spectrum of a fireball containing in its rest frame radiation the two time dependent intensity emission lines for observation time t₂ [defined by (41)], where we take $2\pi I_0\nu _{0,\rm p}\widetilde{R}% ^2(t_2)/D^2=1$ . Other parameters and the symbols are the same as those adopted in Fig. 9.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f11.eps} \end{figure}$	Figure 11: The expected spectrum of a fireball containing in its rest frame radiation the two time dependent intensity emission lines for observation time t₃ [defined by (42)], where we take $2\pi I_0\nu _{0,\rm p}\widetilde{R} ^2(t_3)/D^2=1$ . Other parameters and the symbols are the same as those adopted in Fig. 9.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f13.eps} \end{figure}$	Figure 13: The expected spectrum of a fireball with a variable Lorentz factor, where $\Gamma _{\rm c}=10$ and $k=10k_0(p=10,\Gamma _{\rm c}=10,R_{\rm c}/c=1)$ . Other parameters and the symbols are the same as those adopted in Fig. 12.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f14.eps} \end{figure}$	Figure 14: The expected spectrum of a fireball with a variable Lorentz factor, where $\Gamma _{\rm c}=100$ and $k=10k_0(p=10,\Gamma _{\rm c}=100,R_{\rm c}/c=1)$ . Other parameters and the symbols are the same as those adopted in Fig. 12.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f15.eps} \end{figure}$	Figure 15: The expected spectrum of a fireball with a variable Lorentz factor, where $\Gamma _{\rm c}=1000$ and $k=10k_0(p=10,\Gamma _{\rm c}=1000,R_{\rm c}/c=1)$ . Other parameters and the symbols are the same as those adopted in Fig. 12.
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$\begin{figure} \par\includegraphics[width=8.8cm,clip]{ms3353f16.eps} \end{figure}$	Figure 16: The expected spectrum of a fireball with a variable Lorentz factor, where $\Gamma _{\rm c}=10~000$ and $k=10k_0(p=10,\Gamma _{\rm c}=10~000,R_{\rm c}/c=1)$ . Other parameters and the symbols are the same as those adopted in Fig. 12.
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