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Title: An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale

Here we offer an explanation for the anticorrelation between the minimum variability time-scale (MTS) in the prompt emission light curve of gamma-ray bursts (GRBs) and the estimated bulk Lorentz factor of these GRBs, in the context of a magnetically arrested disc (MAD) model. In particular, we show that previously derived limits on the maximum available energy per baryon in a Blandford–Znajek jet leads to a relationship between the characteristic MAD time-scale in GRBs and the maximum bulk Lorentz factor: t MAD ∝ Γ -6, somewhat steeper than (although within the error bars of) the fitted relationship found in the GRB data. Similarly, the MAD model also naturally accounts for the observed anticorrelation between MTS and gamma-ray luminosity L in the GRB data, and we estimate the accretion rates of the GRB disc (given these luminosities) in the context of this model. Finally, both these correlations (MTS-Γ and MTS-L) are also observed in the Active Galactic Nuclei (AGN) data, and we discuss the implications of our results in the context of both GRB and blazar systems.
Authors:
ORCiD logo [1] ; ORCiD logo [2] ;  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of New Mexico, Los Alamos, NM (United States)
  2. Huazhong Univ. of Science and Technology, Wuhan (China). School of Physics
  3. Guizhou Normal Univ., Guiyang (China). Guizhou Provincial Key Lab. of Radio Astronomy and Data Processing
Publication Date:
Report Number(s):
LA-UR-18-21316
Journal ID: ISSN 0035-8711
Grant/Contract Number:
89233218CNA000001; 2014CB845800; 11773010
Type:
Accepted Manuscript
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Volume: 478; Journal Issue: 3; Journal ID: ISSN 0035-8711
Publisher:
Royal Astronomical Society
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Huazhong Univ. of Science and Technology, Wuhan (China); Guizhou Normal Univ., Guiyang (China)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA); National Basic Research Program (China); National Natural Science Foundation of China (NNSFC)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; gamma-ray burst
OSTI Identifier:
1482926

Lloyd-Ronning, Nicole, Lei, Wei-hua, and Xie, Wei. An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale. United States: N. p., Web. doi:10.1093/mnras/sty1030.
Lloyd-Ronning, Nicole, Lei, Wei-hua, & Xie, Wei. An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale. United States. doi:10.1093/mnras/sty1030.
Lloyd-Ronning, Nicole, Lei, Wei-hua, and Xie, Wei. 2018. "An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale". United States. doi:10.1093/mnras/sty1030.
@article{osti_1482926,
title = {An MAD explanation for the correlation between bulk Lorentz factor and minimum variability time-scale},
author = {Lloyd-Ronning, Nicole and Lei, Wei-hua and Xie, Wei},
abstractNote = {Here we offer an explanation for the anticorrelation between the minimum variability time-scale (MTS) in the prompt emission light curve of gamma-ray bursts (GRBs) and the estimated bulk Lorentz factor of these GRBs, in the context of a magnetically arrested disc (MAD) model. In particular, we show that previously derived limits on the maximum available energy per baryon in a Blandford–Znajek jet leads to a relationship between the characteristic MAD time-scale in GRBs and the maximum bulk Lorentz factor: tMAD ∝ Γ-6, somewhat steeper than (although within the error bars of) the fitted relationship found in the GRB data. Similarly, the MAD model also naturally accounts for the observed anticorrelation between MTS and gamma-ray luminosity L in the GRB data, and we estimate the accretion rates of the GRB disc (given these luminosities) in the context of this model. Finally, both these correlations (MTS-Γ and MTS-L) are also observed in the Active Galactic Nuclei (AGN) data, and we discuss the implications of our results in the context of both GRB and blazar systems.},
doi = {10.1093/mnras/sty1030},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 3,
volume = 478,
place = {United States},
year = {2018},
month = {4}
}