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Luminosity (scattering Theory)
In scattering theory and accelerator physics, luminosity (''L'') is the ratio of the number of events detected (''dN'') in a certain period of time (''dt'') to the cross-section (''σ''): : L = \frac\frac. It has the dimensions of events per time per area, and is usually expressed in the cgs units of cm−2· s−1 or the non-SI units of b−1·s−1. In practice, ''L'' is dependent on the particle beam parameters, such as beam width and particle flow rate, as well as the target properties, such as target size and density. A related quantity is integrated luminosity (''L''int), which is the integral of the luminosity with respect to time: : L_\mathrm = \int L \ dt. The luminosity and integrated luminosity are useful values to characterize the performance of a particle accelerator. In particular, all collider experiments aim to maximize their integrated luminosities, as the higher the integrated luminosity, the more data is available to analyze. Examples of collider l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Scattering Theory
In mathematics and physics, scattering theory is a framework for studying and understanding the scattering of waves and particles. Wave scattering corresponds to the collision and scattering of a wave with some material object, for instance sunlight scattered by rain drops to form a rainbow. Scattering also includes the interaction of billiard balls on a table, the Rutherford scattering (or angle change) of alpha particles by gold atomic nucleus, nuclei, the Bragg scattering (or diffraction) of electrons and X-rays by a cluster of atoms, and the inelastic scattering of a fission fragment as it traverses a thin foil. More precisely, scattering consists of the study of how solutions of partial differential equations, propagating freely "in the distant past", come together and interact with one another or with a boundary condition, and then propagate away "to the distant future". The direct scattering problem is the problem of determining the distribution of scattered radiation/ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |