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Lattice QCD study of baryon-baryon interactions in the (S,I)=(-2,0) system using the coupled-channel formalism

2010/12/28 by Kamiokande Collaboration, Sasaki For HAL QCD Collaboration
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1012.5685

openalex publication_date 2010/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate baryon-baryon interactions with strangeness S=-2 and isospin I=0 system from Lattice QCD. In order to solve this system, we prepare three types of baryon-baryon operators (Λ-Λ, N-Ξ and Σ-Σ) for the sink and construct three source operators diagonalizing the 3×3 correlation matrix. Combining of the prepared sink operators with the diagonalized source operators, we obtain nine effective Nambu-Bethe-Salpeter (NBS) wave functions. The 3×3 potential matrix is calculated by solving the coupled-channel Schrödinger equation. The flavor SU(3) breaking effects of the potential matrix are also discussed by comparing with the results of the SU(3) limit calculation. Our numerical results are obtained from three sets of 2+1 flavor QCD gauge configurations provided by the CP-PACS/JLQCD Collaborations.

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