Toward an understanding of GRB prompt emission mechanism: II. Patterns of peak energy evolution and their connection to spectral lags

TL;DR

This paper models the peak energy evolution in GRB prompt emission, linking spectral patterns to spectral lags, and predicts their correlations using a synchrotron radiation framework in an accelerating emission region.

Contribution

It introduces a simple physical model that reproduces observed spectral evolution patterns and connects these patterns to spectral lags in GRB pulses.

Findings

Hard-to-soft evolution correlates with positive spectral lags.

Flux-tracking pattern can have both positive and negative spectral lags.

Double-peaked pulses are predicted in flux-tracking patterns with energy-dependent shapes.

Abstract

The prompt emission phase of gamma-ray bursts (GRBs) exhibits two distinct patterns of the peak-energy ($E_p$) evolution, i.e., time-resolved spectral analyses of $\nu F_{\nu}$ spectra of broad pulses reveal (1) "hard-to-soft" and (2) "flux-tracking" patterns of $E_p$ evolution in time, the physical origin of which still remains not well understood. We show here that these two patterns can be successfully reproduced within a simple physical model invoking synchrotron radiation in a bulk-accelerating emission region. We show further that the evolution patterns of the peak energy have, in fact, direct connections to the existence of two different (positive or negative) types of spectral lags, seen in the broad pulses. In particular, we predict that (1) only the positive type of spectral lags is possible for the hard-to-soft evolution of the peak energy, (2) both the positive and negative type of spectral lags can occur in the case of flux-tracking pattern of the peak energy, (3) for the flux-tracking pattern, the peak location of the flux light curve slightly lags behind the peak of the $E_p$ evolution with time if the spectral lags are positive, and (4) in the case of flux-tracking pattern, double-peaked broad pulses can appear in the light curves, the shape of which is energy-dependent.