Tsutsui 2008 modified Yonetoku relation

主要内容:
$(L_p/{10^{52} \rm{erg s^{-1}}}) = 10^{-3.88\pm0.09}(E_p/{\rm{keV}})^{1.84\pm0.04} (T_L/{\rm{s}})^{-0.34\pm0.04}$
Simply
L_p = E_p^1.84/T_L^0.34

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Title:		Cosmological Constraints from calibrated Yonetoku and Amati relation implies Fundamental plane of Gamma-ray bursts
Authors:		Tsutsui, Ryo; Nakamura, Takashi; Yonetoku, Daisuke; Murakami, Toshio; Kodama, Yoshiki; Takahashi, Keitaro
Publication:		eprint arXiv:0810.1870
Publication Date:		10/2008
Origin:		ARXIV
Keywords:		Astrophysics
Comment:		5 pages, 6 figures, Submitted to MNRASL
Bibliographic Code:		2008arXiv0810.1870T

Abstract

We consider two empirical relations using data only from the prompt emission of Gamma-Ray Bursts (GRBs), peak energy ($E_p$) - peak luminosity ($L_p$) relation (so called Yonetoku relation) and $E_p$-isotropic energy ($E_{\rm iso}$) relation (so called Amati relation). We first suggest the independence of the two relations although they have been considered similar and dependent. From this viewpoint, we compare constraints on cosmological parameters, $\Omega_m$ and $\Omega_{\Lambda}$, from the Yonetoku and Amati relations calibrated by low-redshift GRBs with $z <> Bibtex entry for this abstract Preferred format for this abstract (see Preferences)