Three-Body Problems
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概要
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So far the most successful method for treating the three-body problems has been to expand the t-matrix into a sum of separable terms, thus reducing the Faddeev equation into coupled integral equations of one variable. This expansion is, however, hard to justify rigorously for a local potential. In our previous paper in this issue (referred to as I), we have shown that G_0t appearing in the Faddeev equation is exactly written as a sum of separable terms and this series quickly converges for positive energies. We make use of this fact to treat three-body problems. The elastic channel including the particle exchange is described by a non-local potential, whose treatment was demonstrated in I. The long range correlation due to the particle exchange in the break-up channel can be treated without difficulty. Our method is applicable both to the bound state and scattering problems. The scattering problem is reduced to a set of linear algebraic equations connecting the three-body on-energy-shell amplitudes. The method for calculations of matrix elements is described. A caution is given concerning the measurements or analysis of the spectator particle.
- 理論物理学刊行会の論文
- 1977-07-25
著者
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SAWADA Tatsuro
Department of Chemistry and Chemical Engineering, Faculty of Engineering, Kanazawa University
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SASAKAWA Tatuya
Department of Physics, Faculty of Science Tohoku University
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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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Sasakawa Tatuya
Department Of Nuclear Science Kyoto University
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SASAKAWA Tatuya
Department od Physics, Tohoku University
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SAWADA Tetsuo
Institute of Physics, University of Tsukuba
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