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

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 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.
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https://hal.archives-ouvertes.fr/hal-01554017
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Submitted on : Monday, July 3, 2017 - 5:36:52 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM

### Citation

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

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