COMPENDIUM OF EQUATIONS FOR THE DESIGN OF A VERY LARGE HADRON COLLIDER

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In the following the authors give several relationships which are used for the preliminary design and to estimate the collider performance. They limit to the case of the performance during storage and colliding mode. Two of such relations are the relation between bending field B, the bending radius {rho} and the proton momentum p B (Tesla) {rho} (meter) = 3.3356 p (GeV/c) and the minimum requirement of the collider luminosity L which scales with the beam energy E according to L = (10{sup 33} cm{sup {minus}2} s{sup {minus}1}) (E/20 TeV ). They assume that the collider is made of two ... continued below

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4 pages

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RUGGIERO,A.G. November 4, 1996.

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In the following the authors give several relationships which are used for the preliminary design and to estimate the collider performance. They limit to the case of the performance during storage and colliding mode. Two of such relations are the relation between bending field B, the bending radius {rho} and the proton momentum p B (Tesla) {rho} (meter) = 3.3356 p (GeV/c) and the minimum requirement of the collider luminosity L which scales with the beam energy E according to L = (10{sup 33} cm{sup {minus}2} s{sup {minus}1}) (E/20 TeV ). They assume that the collider is made of two identical intersecting rings where the two beams circulate in opposite directions otherwise with identical configuration, dimensions and intensity. Both beams are bunched. They also assume, for simplicity, that the beams are round, that is they have the same betatron emittance in the two transverse planes of oscillations, horizontal and vertical. Also the two beams are exactly round at the interaction point where the lattice functions {beta}* has also the same values in the two planes.

Physical Description

4 pages

Notes

INIS; OSTI as DE00757106

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  • HADRON COLLIDERS AT THE HIGHEST ENERGY AND LUMINOSITY, ERICE (IT), 11/04/1996--11/14/1996

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  • Report No.: BNL--65567
  • Report No.: KA0403
  • Grant Number: AC02-98CH10886
  • Office of Scientific & Technical Information Report Number: 757106
  • Archival Resource Key: ark:/67531/metadc706110

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  • November 4, 1996

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  • Sept. 12, 2015, 6:31 a.m.

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  • Nov. 6, 2015, 11:08 p.m.

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RUGGIERO,A.G. COMPENDIUM OF EQUATIONS FOR THE DESIGN OF A VERY LARGE HADRON COLLIDER, article, November 4, 1996; Upton, New York. (digital.library.unt.edu/ark:/67531/metadc706110/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.