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arXiv · 1607.06371

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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Abstract

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 ($^3{\rm He}$ and $^4{\rm He})$ 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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Takumi Iritani, Takumi Doi, Sinya Aoki, Shinya Gongyo, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Noriyoshi Ishii, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki. 2017-08-30. Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD. https://doi.org/10.1007/jhep10(2016)101

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