2009/05/04 by Silas R. Beane, William Detmold, Thomas C Luu +8 · 91 citations
Mathematics · Physics and Astronomy · #Baryon #Combinatorics #Energy (signal processing) #High-Energy Particle Collisions Research #Lattice QCD #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.80.074501
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 80(7) (American Physical Society)
arxiv created 2009/05/04 · openalex publication_date 2009/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We present the results of an exploratory lattice QCD calculation of three-baryon systems through a high statistics study of one ensemble of anisotropic clover gauge-field configurations with a pion mass of m_\ensuremathπ\ensuremath∼390 MeV. Because of the computational cost of the necessary contractions, we focus on correlation functions generated by interpolating operators with the quantum numbers of the \ensuremathΞ0\ensuremathΞ0n system, one of the least demanding three-baryon systems in terms of the number of contractions. We find that the ground state of this system has an energy of E_\ensuremathΞ0\ensuremathΞ0n=3877.9\ifmmode±\else\textpm\fi6.9\ifmmode±\else\textpm\fi9.2\ifmmode±\else\textpm\fi3.3 MeV corresponding to an energy shift due to interactions of \ensuremathδE_\ensuremathΞ0\ensuremathΞ0n=E_\ensuremathΞ0\ensuremathΞ0n\ensuremath-2M_\ensuremathΞ0\ensuremath-Mn=4.6\ifmmode±\else\textpm\fi5.0\ifmmode±\else\textpm\fi7.9\ifmmode±\else\textpm\fi4.2 MeV. There are a significant number of time slices in the three-baryon correlation function for which the signal-to-noise ratio is only slowly degrading with time. This is in contrast to the exponential degradation of the signal-to-noise ratio that is observed at larger times, and is due to the suppressed overlap of the source and sink interpolating operators that are associated with the variance of the three-baryon correlation function onto the lightest eigenstates in the lattice volume (mesonic systems). As one of the motivations for this area of exploration is the calculation of the structure and reactions of light nuclei, we also present initial results for a system with the quantum numbers of the triton (pnn). This present work establishes a path to multibaryon systems, and shows that lattice QCD calculations of the properties and interactions of systems containing four and five baryons are now within sight.