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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 threshold energy ： ウィキペディア英語版 threshold energy In particle physics, the threshold energy for production of a particle is the minimum kinetic energy a pair of traveling particles must have when they collide. The threshold energy is always greater than or equal to the rest energy of the desired particle. In most cases, since momentum is also conserved, the threshold energy is significantly greater than the rest energy of the desired particle - and thus there will still be considerable kinetic energy in the final particles. ==Example== Consider the collision of a mobile proton with a stationary proton, s.t. a $^0$ meson is produced: $p^+\; +\; p^+\; \backslash to\; p^+\; +\; p^+\; +\; \backslash pi^0$ By transforming into the ZMF (Zero Momentum Frame, aka the Centre of Mass Frame), and assuming the outgoing particles have no KE (Kinetic Energy) when viewed in the ZMF the conservation of energy equation is: $E\; =\; 2\backslash gamma\; m\_pc^2\; =\; 2\; m\_pc^2+\; m\_\backslash pi\; c^2$ Rearranged to give $\backslash gamma\; =\; \backslash frac$ By assuming that the outgoing particles have no KE in the ZMF, we have effectively considered an inelastic collision, whereby the product particles move with a combined momentum equal to that of the incoming proton in the Lab Frame. Our $c^2$ terms in our expression will cancel, leaving us with: $\backslash beta^2\; =\; 1-(\backslash frac)^2\; \backslash approx\; 0.130$ $\backslash beta\; \backslash approx\; 0.360$ Using relativistic velocity additions: $v\_\backslash text\; =\; \backslash frac\}/c^2\}$ We know that $V\_$ is equal to the speed of one proton as viewed in the ZMF, hence we can re-write with $u\_\; =\; V\_$: $v\_\backslash text\; =\; \backslash frac^2/c^2\}\; \backslash approx\; 0.64c$ So the energy of the proton must be $E\; =\; \backslash gamma\; m\_p\; c^2\; =\; \backslash frac\}\; =\; 1221\backslash ,$ MeV. And Hence, it's Kinetic Energy must be $T\; =\; E\; -\; \backslash approx\; 280$ MeV 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「threshold energy」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.