Non-Compactness of the Kernel of a 3-Body Lippmann-Schwinger Equation in the Absence of Rearrangement Channels : Nuclear Physics
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概要
- 論文の詳細を見る
The question of whether or not a single 3-body Lippmann-Schwinger (LS) equation can yield a unique solution in the absence of rearrangement channels (RC) is re-investigated. For a Hermitian Hamiltonian, the non-compactness of the integral kernel is shown by demonstrating the existence of continuous spectrum in a manner of Weinberg. This implies that its cause is the disconnected diagrams present with or without RC. Therefore, even in the absence of RC, either the Faddeev equation or the Faddeev-equivalent LS triad is necessary for a rigorous treatment of a 3-body scattering problem.The case with energy-independent absorbing potentials (EIAP) for 2-body interactions in RC is also discussed. The above non-compactness proof is seen to be applicable for this case as well, provided that at least one of the RC potentials is chosen to be a real potential multiplied by a complex constant. Thus, the apparent uniqueness of the CDCC solutions cannot ab initio be attributed to the use of EIAP in RC.
- 理論物理学刊行会の論文
- 1990-06-25
著者
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宮川 和也
岡山理大理
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SAWADA Tatsuro
Department of Chemistry and Chemical Engineering, Faculty of Engineering, Kanazawa University
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Miyagawa K
Faculty Of Liberal Arts And Sciences Okayama University Of Science
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Miyagawa Kazuya
Faculty Of Liberal Arts And Sciences Okayama University Of Science
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Sawada T
Nihon Univ. Tokyo Jpn
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Sawada Tatsuro
Department Of Applied Mathematics Faculty Of Engineering Science Osaka University
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Sawada Tatsuro
Department Of Chemistry And Chemical Engineering Faculty Of Technology Kanazawa University
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THUSHIMA Kathuhide
Department of Solid State Electronics, Faculty of Engineering Osaka Electro-Communication University
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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
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Thushima K
Department Of Solid State Electronics Faculty Of Engineering Osaka Electro-communication University
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Thushima Kathuhide
Department Of Solid State Electronics Faculty Of Engineering Osaka Electro-communication University
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SAWADA Tetsuo
Institute of Physics, University of Tsukuba
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