Lippmann-Schwinger Resonating-Group Formalism for NN and YN Interactions in an SU_6 Quark Model

概要

論文の詳細を見る
We formulate a Lippmann-Schwinger-type resonating-group equation to calculate invariant amplitudes of the quark-model baryon-baryon interaction. When applied to our recently proposed SU_6 quark model for the nucleon-nucleon and hyperon-nucleon interactions, this technique yields very accurate phase-shift parameters for all partial waves up to energies of several GeV. The technique also has the merit of providing a straightforward derivation of the G-matrix equation. A new analytic method is proposed to calculate the quark exchange Born kernel for the momentum-dependent two-body interaction. The partial-wave decomposition in the momentum representation is carried out numerically. The invariant amplitudes are then used to calculate single-nucleon potentials in normal nuclear matter for high incident momenta (q_1 ≥ 3 fm^<-1>), in which the so-called t^<eff>ρ prescription is found to be a good approximation of the single-particle potentials directly calculated in the lowest-order Brueckner theory.
理論物理学刊行会の論文
2000-04-25