Fig. 3 | Nature Communications

Fig. 3

From: The photospheric origin of the Yonetoku relation in gamma-ray bursts

Fig. 3

Relation between spectral peak energy Ep and peak luminosity Lp. Results of our simulations are plotted with the observational data of 101 GRBs (gray points with error bars) and best-fit curve of the Yonetoku relation (black solid line), Lp = 1052.43±0.037 × [Ep/355 keV]1.60±0.082 erg s−1, taken from the literature2. The error bars of the observational data indicate 1-σ standard error for both Ep and Lp. Two dashed lines located below and above the best-fit curve show the 3-σ systematic error regions of the Yonetoku relation. Symbol color indicates model, with red, green, and blue representing jet powers of Lj = 1049, 1050, and 1051 erg s−1, respectively. The inverted triangle, triangle, circle, and square plot the results obtained by sampling the emission up to durations tdur = 20, 40, 60, and 110 s, respectively. The considered range of viewing angle is 0° ≤ θobs ≤ 11°, with 1° between successive points. Although the current results do not extend up to the bright end of the observed distribution, we expect that this population can be naturally produced by increasing the jet power and/or Lorentz factor, which shift the population toward higher energy and luminosity in the present study