Substitution Law and Identity for Long-Range Potentials
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概要
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We discuss the relations between two-body and many-body static potentials for long-range interactions. There is a simple substitution law to get the two-body potential V_2^<(2n)> in the 2n-th order from (n+1)-body potential υ_<n+1> obtained from tree diagrams for (n+1)-body scatterings. When interaction Lagrangian density is proportional to mass in the static limit, the identity V_<n+1>=V_2^<(2n)> holds, V_<n+1> being the two-body potential obtained from υ_<n+1> by summing it up over all elementary particles in two celestial bodies or charged spheres. These statements are proved to be right for n=2 and partly for n=3, and expected to be true for all values of n. The reason why the substitution law exists and the identity holds is discussed in detail.
- 理論物理学刊行会の論文
- 1971-12-25
著者
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Okamura Hiroshi
Institute For Nuclear Study University Of Tokyo
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Okamura Hiroshi
Institute For Nuclear Study And Department Of Physics University Of Tokyo
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Hiida Kichiro
Institute For Nuclear Study University Of Tokyo
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Hiida Kichiro
Institute For Nuclear Study Tokyo University
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