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Article Dans Une Revue Journal of High Energy Physics Année : 2016

Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD

Takumi Iritani
  • Fonction : Auteur
Takumi Doi
  • Fonction : Auteur
Sinya Aoki
  • Fonction : Auteur
Tetsuo Hatsuda
  • Fonction : Auteur
Yoichi Ikeda
  • Fonction : Auteur
Takashi Inoue
  • Fonction : Auteur
Noriyoshi Ishii
  • Fonction : Auteur
Keiko Murano
  • Fonction : Auteur
Hidekatsu Nemura
  • Fonction : Auteur
Kenji Sasaki
  • Fonction : Auteur

Résumé

Single state saturation of the temporal correlation function is a key condition to extract physical observables such as energies and matrix elements of hadrons from lattice QCD simulations. A method commonly employed to check the saturation is to seek for a plateau of the observables for large Euclidean time. Identifying the plateau in the cases having nearby states, however, is non-trivial and one may even be misled by a fake plateau. Such a situation takes place typically for a system with two or more baryons. In this study, we demonstrate explicitly the danger from a possible fake plateau in the temporal correlation functions mainly for two baryons (ΞΞ and N N ), and three and four baryons ($^{3}$He and$^{4}$He) as well, employing (2+1)-flavor lattice QCD at m$_{π}$ = 0.51GeV on four lattice volumes with L = 2.9, 3.6, 4.3 and 5.8 fm. Caution is required when drawing conclusions about the bound N N , 3N and 4N systems based only on the standard plateau fitting of the temporal correlation functions.

Dates et versions

hal-01554017 , version 1 (03-07-2017)

Identifiants

Citer

Takumi Iritani, Takumi Doi, Sinya Aoki, Shinya Gongyo, Tetsuo Hatsuda, et al.. Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD. Journal of High Energy Physics, 2016, 10, pp.101. ⟨10.1007/JHEP10(2016)101⟩. ⟨hal-01554017⟩
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