Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD
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.
Mots clés
- quantum chromodynamics: lattice
- finite size: effect
- quark: flavor: 3
- fermion: clover
- quark: Wilson
- numerical calculations
- mirage
- lattice
- saturation
- numerical methods: efficiency
- nucleus: binding energy
- nucleon nucleon: interaction
- correlation function
- time: Euclidean
- baryon baryon: interaction
- Lattice Quantum Field Theory
- Lattice QCD