Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Relation between GRB Rest-Frame Spectra and Energetics and Its
  Utility on Cosmology   We investigate the well-measured spectral and energetic properties of 20
gamma-ray bursts (GRBs) in their cosmological rest frames. We find a tight
relation between the isotropic-equivalent gamma-ray energy Eiso, the local peak
energy E'p of the \nu F_{\nu} spectrum, and the local break time t'b of the GRB
afterglow light curve, which reads Eiso*t'b\propto E'p^{1.95\pm0.08}
(\chi^2_\nu=1.40; Omega_M=0.27, Omega_Lambda=0.73). Such a power-law relation
can be understood via the high-energy radiation processes for the GRB prompt
emission accompanying the beaming effects. We then consider this relation as an
intrinsic one for the observed GRB sample, and obtain a constraint on the mass
density Omega_M=0.24^{+0.16}_{-0.12} (1\sigma) for a flat Lambda-CDM universe,
and a \chi^2_{dof}=1.33 for Omega_M\approx0.3 and Omega_Lambda\approx0.7.
Ongoing GRB observations in the Swift era are expected to confirm this relation
and make its cosmological utility progress much.

19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio