Unit 1 - Energy of a synchrotron and magnet specifications in the arcs

Thursday 7 May 2020, 09:00 → 10:30 Europe/Zurich

VIDYO (CERN)

Ezio Todesco (CERN)

This unit belongs to the first part of the course, which is focussed on the main equations ruling the energy and the luminosity of a particle collider, and to the derivation of the magnet specifications. 

In this unit we  will review the equation giving the collider energy as a function of the magnetic field and of the accelerator bending radius, together with the main concepts of special relativity.

We then discuss the equations of betatron oscillations, giving the principle of strong focusing, and the equations for the amplitude of betatron oscillations and quadrupole strength as a function of the quadrupole spacing and phase advance. This allows to derive the requirement on the magnet aperture as a function of the quadrupole spacing, of the beam energy, and of the property of the injected beam.

We conclude by applying the equations to the case of LHC, and discussing the cases of a  higher energy collider in the LHC tunnel (HE LHC), and of a 100 TeV collider with 16 T magnets (FCC).

 

09:00 → 10:30 Unit 1 - The energy of a circular collider and magnet specifications in the arcs

Speaker: Ezio Todesco (CERN)

1.pdf

1.pptx

Chapter1p.pdf

Recording