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

### Description

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

4 pages

### Creation Information

RUGGIERO,A.G. November 4, 1996.

## Who

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### Provided By

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## What

### Description

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.

4 pages

### Notes

INIS; OSTI as DE00757106

### Source

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

### Identifier

Unique identifying numbers for this article in the Digital Library or other systems.

• Report No.: BNL--65567
• Report No.: KA0403
• Grant Number: AC02-98CH10886
• Office of Scientific & Technical Information Report Number: 757106

## When

### Creation Date

• November 4, 1996

### Added to The UNT Digital Library

• Sept. 12, 2015, 6:31 a.m.

### Description Last Updated

• Nov. 6, 2015, 11:08 p.m.

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