The Neutrino Factory and Muon Collider Collaboration (NFMCC) Logo


Neutrino Factory/Muon Collider Document 284-v1

Six-dimensional muon beam cooling using a homogeneous absorber

Document #:
NFMCC-doc-284-v1
Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
01 Jan 2004, 12:00
Contents Revised:
01 Jan 2004, 12:00
Metadata Revised:
01 Jan 2004, 12:00
Actually Revised:
14 Sep 2006, 13:35
Viewable by:
  • Public document
Modifiable by:
  • Same as Viewable by

Quick Links:
Latest Version

Abstract:
This revision contains suggested improvements by PRSTAB referees. We consider a linear muon beam cooling-channel in which a series of contiguous RF cavities filled with gaseous absorber is imbedded in a helical magnetic field. In this special field, composed of a solenoidal field with superimposed helical transverse dipole and quadrupole fields, higher momentum corresponds to a longer path length and therefore larger ionization energy loss in the dense gaseous hydrogen absorber. This correlation of momentum with energy loss provides the emittance exchange mechanism needed to achieve six-dimensional ionization cooling. In this scheme, the energy loss, the RF energy regeneration, the longitudinal cooling, and the transverse cooling happen simultaneously.
The theory of this helical channel is described to support the analytical prediction of almost a factor of a million reduction in 6D phase space volume in a channel about 56 meters long. Particle beam dynamics equations are derived and beam stability conditions explored. Cooling equations are derived, including expressions for decrements and equilibrium emittances.

This is a PDF document
This is revision # 3
Posted by Rolland Johnson

Files in Document:
Other Files:
Keywords:
COOL_THEORY
Notes and Changes:
Yaroslav Derbenev and Rolland P. Johnson
Publication Information:
Submitted to PRSTAB
DocDB Home ]  [ Search ] [ Last 20 Days ] [ List Authors ] [ List Events ] [ List Topics ]

--------
Security, Privacy, Legal
Fermilab Policy on Computing
Fermi National Accelerator Laboratory


For assistance contact HelpDesk
Last Modified by MT on 6 February 2006
DocDB Home



DocDB Version 8.8.9, contact Document Database Administrators