Three-Body Equations and the Moller Operator Approach : Nuclear Physics

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概要

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• A family of three-body equations are investigated in relation with the Moller operator approach (MOA) of Sandhas. The family consists of a single three-body Lippmann-Schwinger (LS) equation (the LS equation), the LS triad of Glockle, the Faddeev equation, and the Faddeev-equivalent LS triad (the FE-LS triad). We show that all of these equations can be derived from the MOA. However, of these, the LS equation and the LS triad that are derived without introducing the Faddeev decomposition of the total Green function (the FDG) have integral kernels that are either non-compact (the LS equation) or not defined uniquely (the LS triad). We show that, to derive the Faddeev equation and the FE-LS triad from the MOA, it is necessary to incorporate the FDG. This implies that the consideration of the projection properties of the Mo1ler operators (PPMO) among three-body Hilbert spaces alone is not sufficient to assure the equivalence of the MOA to the Faddeev theory. However, we also confirm that, with or without the FDG, all the relations among scattering states obtained from the PPMO are consistent with the three-body equations that are pertinent to the treatment.

• 理論物理学刊行会の論文
• 1991-12-25

著者

• 宮川 和也

  岡山理大理

• SAWADA Tatsuro

  Department of Chemistry and Chemical Engineering, Faculty of Engineering, Kanazawa University

• Miyagawa K

  Faculty Of Liberal Arts And Sciences Okayama University Of Science

• Miyagawa Kazuya

  Faculty Of Liberal Arts And Sciences Okayama University Of Science

• Sawada T

  Nihon Univ. Tokyo Jpn

• Sawada Tatsuro

  Department Of Applied Mathematics Faculty Of Engineering Science Osaka University

• Sawada Tatsuro

  Department Of Chemistry And Chemical Engineering Faculty Of Technology Kanazawa University

• THUSHIMA Kathuhide

  Department of Solid State Electronics, Faculty of Engineering Osaka Electro-Communication University

• 山村 寿彦/宮川

  岡山理科大学大学院理学研究科理学研究科博士課程材質理学専攻/岡山理科大学大学院理学研究科理学研究科博士課程材質理学専攻

• Thushima K

  Department Of Solid State Electronics Faculty Of Engineering Osaka Electro-communication University

• Thushima Kathuhide

  Department Of Solid State Electronics Faculty Of Engineering Osaka Electro-communication University

• SAWADA Tetsuo

  Institute of Physics, University of Tsukuba

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