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Prog. Theor. Phys. 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^***

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 June 11, 2000)

Abstract:

The G-matrix equation is most straightforwardly formulated in the resonating-group method if the quark-exchange kernel is directly used as the driving term for the infinite sum of all the ladder diagrams. The inherent energy dependence involved in the exchange term of the normalization kernel plays an essential role in defining the off-shell T-matrix when the complete Pauli-forbidden state exists. We analyze this using a simple solvable model with no quark-quark interaction, and calculating the most general T-matrix in the formulation developed by Noyes and Kowalski. This formulation gives a certain condition for the existence of the solution in the Lippmann-Schwinger resonating-group method. A new procedure to deal with the corrections for the reduced masses and the internal-energy terms in the ΛN-ΣN coupled-channel resonating-group equation is proposed.

URL : http://ptp.ipap.jp/link?PTP/104/1025/
DOI : 10.1143/PTP.104.1025

[ Full Text PDF : FREE ACCESS (176K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 107 No. 4 (2002) pp. 745-757 :

   Three-Cluster Equation Using the Two-Cluster RGM Kernel

   Yoshikazu Fujiwara, Hidekatsu Nemura, Yasuyuki Suzuki, Kazuya Miyagawa and Michio Kohno

2. 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

3. 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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