Lippmann-Schwinger Resonating-Group Formalism for NN and YN Interactions in an SU6 Quark Model

We formulate a Lippmann-Schwinger-type resonating-group equation to calculateinvariant amplitudes of the quark-model baryon-baryon interaction. When appliedto our recent SU6 quark model for the nucleon-nucleon and hyperon-nucleoninteractions, this technique yields very accurate phase-shift parameters forall partial waves up to the energies of several GeV. The technique also has amerit of a straightforward extension to the G-matrix equation. A new analyticmethod is proposed to calculate the quark-exchange Born kernel for themomentum-dependent two-body interaction. The partial-wave decomposition in themomentum representation is carried out numerically. The invariant amplitudesare then used to calculate single-nucleon potentials in normal nuclear matterfor high incident momenta q_1 > 3 (1/fm), in which the so-called t^eff-rhoprescription is found to be a good approximation to the single-particlepotentials directly calculated in the lowest-order Brueckner theory.Comment: 40 pages, 6 figure