The role of newly born magnetars in gamma-ray burst X-ray afterglow emission: Energy injection and internal emission
Yun-Wei Yu, K. S. Cheng, and Xiao-Feng Cao

TL;DR
This paper explores how newly born millisecond magnetars influence gamma-ray burst X-ray afterglows through energy injection and internal emission, suggesting magnetars can explain various observed afterglow phases and allowing parameter estimation.
Contribution
It introduces a modified energy injection model considering magnetar spin evolution and internal emission, linking observed X-ray afterglow phases to magnetar properties.
Findings
Some X-ray afterglows are internally produced by magnetars.
Magnetar parameters can be inferred from internal X-ray afterglows.
External shocks relate to different types of X-ray afterglows.
Abstract
Swift observations suggest that the central compact objects of some gamma-ray bursts (GRBs) could be newly born millisecond magnetars. Therefore, by considering the spin evolution of the magnetars against r-mode instability, we investigate the role of the magnetars in GRB X-ray afterglow emission. Besides modifying the conventional energy injection model, we pay particular attention to the internal X-ray afterglow emission, whose luminosity is assumed to track the magnetic dipole luminosity of the magentars with a certain fraction. Following a comparison between the model and some selected observational samples, we suggest that some so-called "canonical" X-ray afterglows including the shallow decay, normal decay, and steeper-than-normal decay phases could be internally produced by the magnetars (possibly through some internal dissipations of the magnetar winds), while the (energized)…
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