Gamma-ray bursts: connecting the prompt emission with the afterglow

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📝 Original Info

  • Title: Gamma-ray bursts: connecting the prompt emission with the afterglow
  • ArXiv ID: 1008.0478
  • Date: 2010-08-04
  • Authors: ** 논문에 명시된 저자 정보가 제공되지 않았습니다. (저자명 및 소속을 확인할 수 있는 경우, 여기 기재하십시오.) **

📝 Abstract

With the early afterglow localizations of gamma-ray burst positions made by Swift, the clear delimitation of the prompt phase and the afterglow is not so obvious any more. It is important to see weather the two phases have the same origin or they stem from different parts of the progenitor system. We will combine the two kinds of gamma-ray burst data from the Swift-XRT instrument (windowed timing and photon counting modes) and from BAT. A thorough desription of the applied procedure is given. We apply various binning techniques to the different data: Bayes blocks, exponential binning and signal-to-noise type of binning. We present a handful of flux curves and some possible applications.

💡 Deep Analysis

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Gamma-ray bursts are the most energetic phenomenon in the Universe. After their discovery (Klebesadel et al., 1973), and the detection of the first counterpart in other wavelengths than gamma now the Swift satellite (Gehrels et al. 2004) is almost routinely observing X-ray afterglows. In the study of GRB prompt emission and after-glow, it is a straightforward idea to combine flux curves of GRBs from gamma-ray and X-ray data. A wide spectral coverage leads to a more complete picture of the phenomenon. In our analysis have extrapolated the gamma-ray flux into the X-ray band to have a commond ground for analysis. It can be done the other way around, extrapolating the X-ray flux to the BAT energy range. Most bursts in our sample come from the long and possibly the intermediate duration group (Horváth 1998, Balázs et al. 1998, Balázs et al. 1999, Horváth 2002, Horváth et al. 2008, Řípa et al. 2009) 2 Data reduction and binning Swift gathers γ-ray and X-ray data relevant for our analysis. We choose three different approaches to bin the flux curves: Bayesian method for the gamma-ray data, equal binning in logarithmic coordinates in the case of the windowed timing (WT) XRT data and a signal-to-noise type of binning in the case of photon counting (PC) XRT data. The flux curves and the spectra were generated using standard HEASoft tools and the most recent calibration database. Initial calibration was made using xrtpipeline and batgrbproduct pipeline scripts with the latest calibration databases.

In gamma-rays the results of the primary pipeline processing contain, among others, a 64 ms resolution gamma-ray flux curve. This was used as the input to the Bayesian block analysis. We cut our combined 15 -150 keV flux curve using Bayes blocks as presented in Scargle (1998). We set a large prior for the algorithm so it will stop at an early point (which corresponds to a small number of change points) making sure that we have enough resolution for each of the bins. After deducing the time intervals we have used batbinevt to bin the data and get a raw spectrum (pha) file. The further steps recommended in the BAT analysis thread were also carried out. For each interval, we created the appropriate response matrices and fitted both a power law and a power law with a high-energy cutoff. We use the criterion from Sakamoto et al. (2008) to choose between the two models. If the χ 2 improves by more than 6 by using a cutoff power law, we use the latter instead of the simple power law model. The next step is to extrapolate the model from the gamma-ray band (15 -150 keV) into the X-ray band (0.3 -10 keV).

In X-rays the WT mode is active when the count rate of the source is high (over ∼ 10 counts/s). This means we have a good signal-tonoise ratio and we can bin the counts in equal bins in logarithmic space. We have fitted a spectrum for the whole duration of the WT mode and got a conversion factor from rates to flux. There is a more detailed description of the procedure in the next section.

For the PC mode we bin our data to have a signal-to-noise ratio of at least 3. We do this by incrementing the endpoint of our interval in time until the count rate reaches the required level. At this point we store this interval and repeat the procedure until the end of the observing period. We correct for the pile-up in the detector as described in Vaughan et al. (2006) for the PC mode. For the WT mode pileup correction is made according to Romano et al. (2008) The next step is to convert the count rates to flux. To do this, we divide the cumulative flux curve in n parts, each with equal number of counts. n is chosen by hand depending on the intensity of the afterglow from 2 to 6. For each time slice we fit a spectrum to get the count equivalent in erg/cm 2 . The spectra are fitted with Xspec using individual anciliary response functions and the most recent response function available. We used an absorbed power law model of the form:

The absorbing column density (NH) of the Milky Way was taken from Dickey et Lockman (1990) (denoted here by wabs G ), and, where redshift was known, the source absorbtion was also fitted (denoted here by zwabs S ). If the redshift was unknown zwabs S was substituted with a simple absorbing wabs S component. The spectra were binned using grppha so all channels had minimum 20 counts. Evans et al. (2007) use the same method, but they get the conversion factor (erg/cm 2 /s equivalent of 1 count/s ) by integrating over the entire spectrum (corresponding to n = 1). We report here that our conversion factors are in good agreement with those in Evans et al. (2007) and their related web-page.

Here we present several GRBs to illustrate our method of binning and combining data. For now, we include only bursts from the long and intermediate duration population. The behaviour of the afterglow requires the use of a log scale but several GRBs have significant flux before the trigger (precursors with t < T trigger = 0). For this

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