The peak luminositypeak energy correlation in gammaray bursts
Abstract
We derive the correlation between the peak luminosity L_{iso} and the peak energy of the νF_{ν} spectrum E_{peak} using 25 long gammaray bursts (GRBs) with firm redshift measurements. We find that its slope is similar to that of the correlation between the timeintegrated isotropic emitted energy E_{iso} and E_{peak}. For the 16 GRBs in our sample with estimated jet opening angle, we compute the collimationcorrected peak luminosity L_{γ}, and find that it correlates with E_{peak}. This correlation has, however, a scatter larger than that of the correlation between E_{peak} and E_{γ} (the timeintegrated emitted energy, corrected for collimation), which we ascribe to the fact that the opening angle is estimated through the global energetics. We have then selected a large sample of 442 GRBs with pseudoredshifts, derived through the lagluminosity relation, to test the existence of the L_{iso}E_{peak} correlation. With this sample we also explore the possibility of a correlation between timeresolved quantities, namely L^{p}_{iso} and the peak energy at the peak of emission E^{p}_{peak}.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 June 2005
 DOI:
 10.1111/j.17453933.2005.00043.x
 arXiv:
 arXiv:astroph/0502488
 Bibcode:
 2005MNRAS.360L..45G
 Keywords:

 cosmology: observations;
 gammarays: bursts;
 Astrophysics
 EPrint:
 5 pages, 5 figures, 2 tables  MNRAS Letters submitted