Lippmann-Schwinger Resonating-Group Formalism for NN and YN Interactions in an SU6 Quark Model
Open Access
- 1 April 2000
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 103 (4) , 755-794
- https://doi.org/10.1143/ptp.103.755
Abstract
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 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 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 (q1 ≥ 3 fm−1), in which the so-called teff ρ prescription is found to be a good approximation of the single-particle potentials directly calculated in the lowest-order Brueckner theory.Keywords
All Related Versions
This publication has 0 references indexed in Scilit: