v 1 2 4 D ec 1 99 9 1 Lippmann - Schwinger Resonating - Group Formalism for NN and Y N Interactions in an SU 6 Quark

نویسندگان

  • Yoshikazu Fujiwara
  • Michio Kohno
  • Tadashi Fujita
  • Yasuyuki Suzuki
چکیده

We formulate a Lippmann-Schwinger-type resonating-group equation to calculate invariant amplitudes of the quark-model baryon-baryon interaction. When applied to our recent SU6 quark model for the nucleon-nucleon and hyperon-nucleon interactions, this technique yields very accurate phase-shift parameters for all partial waves up to the energies of several GeV. The technique also has a merit of a straightforward extension to 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 q1 ≥ 3 fm , in which the so-called tρ prescription is found to be a good approximation to the single-particle potentials directly calculated in the lowest-order Brueckner theory.

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تاریخ انتشار 2008