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G-Matrix Equation in the Quark-Model Resonating-Group Method for Baryon-Baryon Interaction

2000/06/28 by Y. Fujiwara, Yoshikazu Fujiwara, M. Kohno +5 · 1 citation
Engineering · Physics and Astronomy · #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications #nucl-th

paper · pdf · doi:10.1143/ptp.104.1025

published as Prog. Theor. Phys. 104 (2000) 1025--1040 · 21 pages 0 figures, submitted to Prog. Theor. Phys

arxiv created 2000/06/28 · openalex publication_date 2000/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The G-matrix equation is most straightforwardly formulated in the resonating-group method if the quark-exchange kernel is directly used as the driving term for the infinite sum of all the ladder diagrams. The inherent energy dependence involved in the exchange term of the normalization kernel plays an essential role in defining the off-shell T-matrix when the complete Pauli-forbidden state exists. We analyze this using a simple solvable model with no quark-quark interaction, and calculating the most general T-matrix in the formulation developed by Noyes and Kowalski. This formulation gives a certain condition for the existence of the solution in the Lippmann-Schwinger resonating-group method. A new procedure to deal with the corrections for the reduced masses and the internal-energy terms in the ΛN-ΣN coupled-channel resonating-group equation is proposed.

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