On the Triad of Three-Body Lippmann-Schwinger Equations : Nuclear Physics

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概要

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• The equivalence problem between the Faddeev equation and the usual triad of three-body Lippmann-Schwinger (LS) equations (LS triad) is re-investigated. We maintain that the LS triad does not qualify as an integral equation since its integral kernel is not uniquely defined. We give a derivation of the LS triad that is truely equivalent to the Faddeev equation (FE-LS triad) in a manner in which the correspondence to the Faddeev equation is apparent. The relation between the Faddeev components and the solution of the FE-LS triad is clarified. By probing this relation, we derive an identity that is satisfied by the solution of the LS triad, and which corresponds to the projection property of adjoint Mφller operators as formulated by Sandhas. We find that this identity is a consequence of more fundamental identities satisfied by the Faddeev components. We conclude that although the usual LS triad is a valid relation satisfied by the solution of the FE-LS triad, it is not truly equivalent to the Faddeev equation. In particular, even in the absence of rearrangement channels, we find it necessary to retain the FE-LS triad.

• 理論物理学刊行会の論文
• 1990-03-25

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 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

• MIYAGAWA Kazuyaφ

  Faculty of Liberal Arts and Sciences, Okayama University of Science

• 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 Kathuhide

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

• Miyagawa Kazuyaφ

  Faculty Of Liberal Arts And Sciences Okayama University Of Science

• SAWADA Tetsuo

  Institute of Physics, University of Tsukuba

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