Abstracts Brochure - CERN

WEPCH041
WEPCH042
WEPCH043
WEPCH044
28-Jun-06 16:00 - 18:00 WEPCH — Poster Session
Analytic Study of Longitudinal Dynamics in Race-track Microtrons
Implementation of low energy injection
Yu.A. Kubyshin (UPC) A.V. Poseryaev, V.I. Shvedunov (MSU) schemes in the race-track microtron (RTM)
design requires a better understanding of the
longitudinal beam dynamics. Differently to the high energy case a low-energy beam will slip in phase relative to
the accelerating structure phase. We generalize the concept of equilibrium or synchronous particle for the case of
non-relativistic energies and introduce the notion of transition energy for RTMs. An analytical approach for the
description of the synchronous phase slip is developed and explicit, though approximate, formulas which allow to
define the equilibrium injection phase and fix the parameters of the accelerator are derived. The approximation can
be improved in a systematic way by calculating higher order corrections. The precision of the analytical approach is
checked by direct numerical computations using the RTMTrace code and was shown to be quite satisfactory. Explicit
examples of injection schemes and fixing of RTM global parameters are presented.
Quantum Theory of Accelerator Optics
A general procedure for construction of the
S.A. Khan (MECIT)
formalism of quantum beam optics for any
particle is reviewed. The quantum formalism
of spin-1/2 particle beam optics is presented starting ab initio with the Dirac equation. As an example of
application the case of normal magnetic quadrupole lens is discussed in detail. In the classical limit the quantum
formalism leads to the well-known Lie algebraic formalism of classical particle beam optics.
*R. Jagannathan and S. A. Khan. Quantum theory of the optics of charged particles, Advances in Imaging and Electron
Physics, Editors: P. W. Hawkes, B. Kazan and T. Mulvey, (Academic Press, San Diego, 1996) Vol. 97, pp. 257-358
(1996). **S. A. Khan and R. Jagannathan. On the quantum mechanics of charged particle beam transport through
magnetic lenses, Phys. Rev. E 51, 25 10 -2515 (1995). ***M. Conte et al. Beam optics of the Dirac particle with anomalous
magnetic moment, Particle Accelerators 56, 99-126 (1996).
On the Implementation of Experimental Solenoids in MAD-X and their Effect on Coupling
in the LHC
Coupling due to the experimental solenoids
A. Koschik, H. Burkhardt, W. Herr, T. Risselada, F. Schmidt (CERN) in the LHC may need to be controlled, especially
at injection energy, where the effect is
largest. We illustrate this for the LHC and comment on the size and possible correction of these effects. Additionally
we report about the implementation of solenoids in the MAD-X program. A thin solenoid version is also made
available for tracking purposes.
LHC Interaction Region Based on a Slim NbTi Quadrupole
An optical performance’s improvement of
E. Laface, R. Ostojic, W. Scandale, D. Tommasini (CERN)
the LHC interaction region can be obtained
with triplet shift in the forward detectors
area. We pursue this idea to create a new scenario, using CMS as example, with the introduction of a slim quadrupole
284