Lippmann-Schwinger resonating group formalism for N N and Y N interactions in an SU(6) quark model
Dec, 1999
40 pages
Published in:
- Prog.Theor.Phys. 103 (2000) 755-794
e-Print:
- nucl-th/9912060 [nucl-th]
DOI:
Report number:
- KUNS-1626
Citations per year
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 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 q_1 > 3 (1/fm), in which the so-called t^eff-rho prescription is found to be a good approximation to the single-particle potentials directly calculated in the lowest-order Brueckner theory.- nucleon nucleon: interaction
- nucleon hyperon: interaction
- quark
- symmetry: SU(6)
- resonating group method
- partial wave analysis: coupled channel
- Lippmann-Schwinger equation
- scattering amplitude
- mathematical methods: variational
- nucleon nucleon: elastic scattering
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