Papers › Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD
Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD
Takumi Iritani, Takumi Doi, Sinya Aoki, Shinya Gongyo, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Noriyoshi Ishii, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki
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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 the 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 NN), and three and four baryons (³He and ⁴He) as well, employing (2+1)-flavor lattice QCD at m_π=0.51 GeV on four lattice volumes with L= 2.9, 3.6, 4.3 and 5.8 fm. Caution is given for drawing conclusion on the bound NN, 3N and 4N systems only based on the temporal correlation functions.
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