GAMMA-RAY BURST LUMINOSITY FUNCTIONS BASED ON A NEWLY DISCOVERED CORRELATION BETWEEN PEAK SPECTRAL ENERGY AND V/V {sub max}
- California Institute of Technology, Pasadena, CA 91125 (United States)
We have discovered a correlation between the observed peak spectral energy E {sub pk,obs} and the Euclidean value of (V/V {sub max}) of gamma-ray bursts (GRBs). We present the evidence for the correlation in the GUSBAD catalog and use it to derive the luminosity function of GRBs without using any redshifts. The procedure involves dividing GUSBAD GRBs into five spectral classes based on their E {sub pk,obs}. The overall luminosity function is derived assuming that each of the spectral classes contributes a Gaussian luminosity function. Their central luminosity is derived from the observed Euclidean (V/V{sub max}). We explore various forms for the GRB rate function GR(z) in predicting redshift distributions of GRBs detected by Swift. We find that GR(z) peaks at a higher redshift than the typical star formation history currently favored in the literature. We consider two examples of GR(z) that successfully predict the observed redshift distribution of Swift GRBs. With the luminosity functions in hand, we convert the E{sub pk,obs} - V/V{sub max} correlation into an E{sub pk,obs} - L{sub iso} correlation and a rest-frame E{sub pk} - L{sub iso} correlation. By comparing the E{sub pk} - L{sub iso} correlation with a published correlation based on GRBs with known E{sub pk,obs} and redshifts, we discuss the effect of Malmquist bias.
- OSTI ID:
- 21313843
- Journal Information:
- Astrophysical Journal, Vol. 700, Issue 1; Other Information: DOI: 10.1088/0004-637X/700/1/633; Country of input: International Atomic Energy Agency (IAEA); ISSN 0004-637X
- Country of Publication:
- United States
- Language:
- English
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