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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.10718 |
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Table of Contents:
- In the former studies, the time evolution information is missed in deducing the time-integrated polarizations of gamma-ray burst (GRB) prompt emission. Here, it is considered and the time-integrated polarizations is investigated through the summation of the time-resolved ones. The statistical properties of the distribution of the time-integrated polarization degree ($Π$) can be read from the $q-Π$ curve, where $q\equivθ_V/θ_j$. $θ_V$ and $θ_j$ are the observational and jet half-opening angles, respectively. Hence, only the $q-Π$ curves are studied. In addition to a toroidal magnetic field in the radiation region, an aligned field is also discussed. We found the predicted time-integrated PD is around $(40-50)\%$ for High-energy Polarimetry Detector (HPD) on board POLAR-2 and is roughly $(30-40)\%$ for its Low-energy Polarimetry Detector (LPD). Therefore, $Π$ value detected by the HPD will be larger than that of the LPD in statistics and the result of the former estimations will underestimate the value of $Π$ in an ordered field. There are mainly two types of the $q-Π$ curve profiles, corresponding to two ordered magnetic field configurations.