One Fits All: A Unified Synchrotron Model Explains GRBs with FRED-Shaped Pulses

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Main Authors: Yan, Zhen-Yu, Yang, Jun, Zhao, Xiao-Hong, Meng, Yan-Zhi, Zhang, Bin-Bin
Format: Preprint
Published: 2023
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author Yan, Zhen-Yu
Yang, Jun
Zhao, Xiao-Hong
Meng, Yan-Zhi
Zhang, Bin-Bin
author_facet Yan, Zhen-Yu
Yang, Jun
Zhao, Xiao-Hong
Meng, Yan-Zhi
Zhang, Bin-Bin
contents The analysis of gamma-ray burst (GRB) spectra often relies on empirical models lacking a distinct physical explanation. Previous attempts to couple physical models with observed data focus on individual burst studies, fitting models to segmented spectra with independent physical parameters. However, these approaches typically neglect to explain the time evolution of observed spectra. In this study, we propose a novel approach by incorporating the synchrotron radiation model to provide a self-consistent explanation for a selection of single-pulse GRBs. Our study comprehensively tests the synchrotron model under a unified physical condition, such as a single injection event of electrons. By tracing the evolution of cooling electrons in a decaying magnetic field, our model predicts time-dependent observed spectra that align well with the data. Using a single set of physical parameters, our model successfully fits all time-resolved spectra within each burst. Our model suggests that the rising phase of the GRB light curve results from the increasing number of radiating electrons, while the declining phase is attributed to the curvature effect, electron cooling, and the decaying magnetic field. Our model provides a straightforward interpretation of the peak energy's evolution, linked to the decline of the magnetic field and electron cooling due to the expansion of the GRB emission region. Our findings strongly support the notion that spectral and temporal evolution in GRB pulses originates from the expansion of the GRB emission region, with an initial radius of approximately $10^{15}$ cm, and synchrotron radiation as the underlying emission mechanism.
format Preprint
id arxiv_https___arxiv_org_abs_2308_00772
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle One Fits All: A Unified Synchrotron Model Explains GRBs with FRED-Shaped Pulses
Yan, Zhen-Yu
Yang, Jun
Zhao, Xiao-Hong
Meng, Yan-Zhi
Zhang, Bin-Bin
High Energy Astrophysical Phenomena
The analysis of gamma-ray burst (GRB) spectra often relies on empirical models lacking a distinct physical explanation. Previous attempts to couple physical models with observed data focus on individual burst studies, fitting models to segmented spectra with independent physical parameters. However, these approaches typically neglect to explain the time evolution of observed spectra. In this study, we propose a novel approach by incorporating the synchrotron radiation model to provide a self-consistent explanation for a selection of single-pulse GRBs. Our study comprehensively tests the synchrotron model under a unified physical condition, such as a single injection event of electrons. By tracing the evolution of cooling electrons in a decaying magnetic field, our model predicts time-dependent observed spectra that align well with the data. Using a single set of physical parameters, our model successfully fits all time-resolved spectra within each burst. Our model suggests that the rising phase of the GRB light curve results from the increasing number of radiating electrons, while the declining phase is attributed to the curvature effect, electron cooling, and the decaying magnetic field. Our model provides a straightforward interpretation of the peak energy's evolution, linked to the decline of the magnetic field and electron cooling due to the expansion of the GRB emission region. Our findings strongly support the notion that spectral and temporal evolution in GRB pulses originates from the expansion of the GRB emission region, with an initial radius of approximately $10^{15}$ cm, and synchrotron radiation as the underlying emission mechanism.
title One Fits All: A Unified Synchrotron Model Explains GRBs with FRED-Shaped Pulses
topic High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2308.00772