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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Available energy (particle collision) ： ウィキペディア英語版 Available energy (particle collision) In particle physics, the available energy is the energy in a particle collision available to produce new matter from the kinetic energy of the colliding particles. Since the conservation of momentum must be held, a system of two particles with a net momentum may not convert all their kinetic energy into mass - and thus the available energy is always less than or equal to the kinetic energy of the colliding particles. The available energy for a system of one stationary particle and one moving particle is defined as: :$E\_a\; =\; \backslash sqrt$ where : $E\_t$ is the total energy of the target particle, : $E\_k$ is the total energy of the moving particle, : $m\_t$ is the mass of the stationary target particle, : $m\_k$ is the mass of the moving particle, and : $c$ is the speed of light. ==Derivation== This derivation will use the fact that: :$(mc^2)^2\; =\; E^2-P^2c^2$ From the principle of the conservation of linear momentum: :$P\_a\; =\; P\_k$ Where $P\_a$ and $P\_k$ are the momentums of the created and the initially moving particle respectively. From the conservation of energy: :$E\_T=\; E\_t+E\_k$ Where $E\_T$ is the total energy of the created particle. We know that after the collision: :$(E\_a)^2=(E\_T)^2-(P\_a)^2\; c^2$ :$(E\_a)^2=(E\_t+E\_k)^2-(P\_k)^2\; c^2$ :$(E\_a)^2=(E\_t)^2\; +(E\_k)^2\; +\; 2\; E\_t\; E\_k-(P\_k)^2\; c^2$ Donating this last equation (1). But :$(m\_k)^2\; c^4=(E\_k)^2-(P\_k)^2\; c^2$ and since the stationary particle has no momentum :$(m\_t)^2\; c^4=(E\_t)^2$ Therefore from (1) we have :$(E\_a)^2=(m\_k)^2\; c^4+(m\_t)^2\; c^4\; +\; 2\; E\_t\; E\_k$ Square rooting both sides and we get :$E\_a\; =\; \backslash sqrt$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Available energy (particle collision)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.