翻訳と辞書 Words near each other ・ Transverse fascia ・ Transverse fissure ・ Transverse flow effect ・ Transverse flute ・ Transverse folds of rectum ・ Transverse grand pyrg ・ Transverse humeral ligament ・ Transverse Island ・ Transverse isotropy ・ Transverse knot ・ Transverse leaf spring and solid axle front suspension of early Ford cars ・ Transverse lesion ・ Transverse ligament ・ Transverse ligament of atlas ・ Transverse ligament of knee ・ Transverse mass ・ Transverse measure ・ Transverse Mercator projection ・ Transverse mesocolon ・ Transverse metacarpal ligament ・ Transverse metatarsal ligament ・ Transverse mode ・ Transverse muscle of auricle ・ Transverse muscle of the chin ・ Transverse muscle of tongue ・ Transverse myelitis ・ Transverse nasal crease ・ Transverse occipital sulcus ・ Transverse orientation ・ Transverse perineal muscle Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Transverse mass ： ウィキペディア英語版 Transverse mass The transverse mass is a useful quantity to define for use in particle physics as it is invariant under Lorentz boost along the z direction. In natural units it is: ::$m\_^2\; =\; m^2\; +\; p\_^2\; +\; p\_^2\; \backslash ,$ :where the z-direction is along the beam pipe and so :$p\_x$ and $p\_y$ are the momentum perpendicular to the beam pipe and :$m$ is the (invariant) mass. Hadron collider physicists use another definition of transverse mass, in the case of a decay into two particles. This is often used when one particle cannot be detected directly but is only indicated by missing transverse energy. In that case, the total energy is unknown and the above definition cannot be used. ::$M\_^2\; =\; (E\_\; +\; E\_)^2\; -\; (\backslash overrightarrow\_\; +\; \backslash overrightarrow\_)^2$ :where $E\_$ is the transverse energy of each daughter, a positive quantity defined using its true invariant mass $m$ as: ::$E\_^2\; =\; m^2\; +\; (\backslash overrightarrow\_)^2$ So equivalently, ::$M\_^2\; =\; m\_1^2\; +\; m\_2^2\; +\; 2\; \backslash left(E\_\; E\_\; -\; \backslash overrightarrow\_\; \backslash cdot\; \backslash overrightarrow\_\; \backslash right)$ For massless daughters, where $m\_1\; =\; m\_2\; =\; 0$, the transverse energy simplifies to $E\_\; =\; |\; \backslash overrightarrow\_T\; |$, and the transverse mass becomes ::$M\_^2\; \backslash rightarrow\; 2\; E\_\; E\_\; \backslash left(\; 1\; -\; \backslash cos\; \backslash phi\; \backslash right)$ :where $\backslash phi$ is the angle between the daughters in the transverse plane: A distribution of $M\_T$ has an end-point at the true mother mass: $M\_T\; \backslash leq\; M$. This has been used to determine the $W$ mass at the Tevatron. ==References== * - See sections 38.5.2 ($m\_$) and 38.6.1 ($M\_$) for definitions of transverse mass. * - See sections 43.5.2 ($m\_$) and 43.6.1 ($M\_$) for definitions of transverse mass. 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「Transverse mass」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.