Is There a Relation between Duration and E_iso in Gamma-Ray Bursts?

TL;DR

This paper investigates the relationship between the duration and isotropic gamma-ray energy in GRBs, proposing a model linking these properties to accretion disk characteristics.

Contribution

It introduces a theoretical interpretation of the positive correlation between E_iso and T_90 in GRBs using the advection-dominated accretion disk model.

Findings

Positive correlation between E_iso and T_90 in GRBs.

E_iso and T_90 linked to disk mass and viscous timescale.

Model explains observed correlation within accretion disk framework.

Abstract

The system of accretion disk and black hole is usually considered as the central engine of Gamma-ray Bursts (GRBs). It is usually thought that the disk in the central engine of GRBs is the advection-dominated accretion disk, which is developed from a massive (mass M_disk) torus at radius r_disk. We find a positive correlation between the isotropic gamma-ray energy E_iso and duration (so-called T_90) for GRBs. We interpret this correlation within the advection-dominated accretion disk model, associating E_iso and T_90 with M_ disk and viscous timescale respectively.