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Prog. Theor. Phys. Vol. 103 No. 4 (2000) pp. 755-794

[ Full Text PDF : FREE ACCESS (668K) ]

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

Yoshikazu Fujiwara, Michio Kohno,* Tadashi Fujita, Choki Nakamoto** and Yasuyuki Suzuki***

Department of Physics, Kyoto University, Kyoto 606-8502, Japan
*Physics Division, Kyushu Dental College, Kitakyushu 803-8580, Japan
**Suzuka National College of Technology, Suzuka 510-0294, Japan
***Department of Physics, Niigata University, Niigata 950-2181, Japan

(Received December 11, 1999)

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 t\effρ prescription is found to be a good approximation of the single-particle potentials directly calculated in the lowest-order Brueckner theory.


URL : http://ptp.ipap.jp/link?PTP/103/755/
DOI : 10.1143/PTP.103.755

[ Full Text PDF : FREE ACCESS (668K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 104 No. 5 (2000) pp. 1025-1040 :
    G-Matrix Equation in the Quark-Model Resonating-Group Method for Baryon-Baryon Interaction
    Yoshikazu Fujiwara, Michio Kohno, Choki Nakamoto and Yasuyuki Suzuki
  2. Progress of Theoretical Physics Vol. 120 No. 2 (2008) pp. 289-314 :
    nα Resonating-Group Calculation with a Quark-Model G-Matrix NN Interaction
    Yoshikazu Fujiwara, Michio Kohno and Yasuyuki Suzuki
  3. Progress of Theoretical Physics Vol. 124 No. 3 (2010) pp. 433-469 :
    Quark-Model Baryon-Baryon Interaction Applied to Neutron-Deuteron Scattering. I
    Yoshikazu Fujiwara and Kenji Fukukawa
  4. Progress of Theoretical Physics Supplement No.156 (2004) pp. 17-36 :
    Quark-Model Baryon-Baryon Interaction and Its Applications to Hypernuclei
    Yoshikazu Fujiwara, Choki Nakamoto, Yasuyuki Suzuki, Michio Kohno and Kazuya Miyagawa

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