Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characteristics of Long Gamma-Ray bursts in the Comoving Frame   We compile a sample of 93 long gamma-ray bursts (GRBs) from Fermi satellite
and 131 from Konus-Wind, which have measured redshifts and well determined
spectra, and estimate their pseudo Lorentz factors (${\Gamma_0}$) using the
tight ${L_{{\rm{iso}}}}$-${E_{\rm p}}$-${\Gamma_0}$ correlation. The
statistical properties and pair correlations of temporal and spectral
parameters are studied in the observer frame, rest frame and comoving frame,
respectively. We find that the distributions of the duration, peak energy,
isotropic energy and luminosity in the different frames are basically
lognormal, and their distributions in the comoving frame are narrow, clustering
around $T'_{\rm 90}\sim 4000$ s, $E'_{\rm p,c}\sim 0.7$ keV, $E'_{\rm iso,c}
\sim 8\times10^{49}$ erg and $L'_{\rm iso,c}\sim 2.5\times10^{46}$ erg
s$^{-1}$, where the redshift evolution effect has been taken into account. We
also find that the values of ${\Gamma_0}$ are broadly distributed between few
tens and several hundreds with median values $\sim 270$. We further analyze the
pair correlations of all the quantities, and well confirm
${E_{{\rm{iso}}}}$-${E_{\rm p}}$, ${L_{{\rm{iso}}}}$-${E_{\rm p}}$,
${L_{{\rm{iso}}}}$-${\Gamma_0}$ and $E_{\rm{iso}}$-${\Gamma_0}$ relations, and
find that the corresponding relations in the comoving frame do still exist, but
have large dispersions. This suggests not only the well-known spectrum-energy
relations are intrinsic correlations, but also the observed correlations are
governed by the Doppler effect. In addition, the peak energies of long GRBs are
independent of durations both in the rest frame and in the comoving frame. And
there is a weak anticorrelation between the peak energy and Lorentz factor.

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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: chem-ph