Paper 
Title 
Page 
WEBX05 
Scaling laws for space charge resonances

268 

 I. Hofmann, G. Franchetti
GSI, Darmstadt
 S.Y. Lee
IUCF, Bloomington, Indiana



Space charge can be the driving term of nonlinear resonances, like the resonant emittance exchange 2Qx2Qy=0 ("Montague resonance", in linacs and highintensity rings), or the fourthorder structure resonance 4Qx=n (highintensity rings, FFAG's). In this study we present scaling laws to describe the dependence of the expected emittance growth effect on the initial emittances, the tune shift and/or the crossing rate through the resonance.


WEBX06 
Analysis of emittance growth in the Fermilab Booster

271 

 K. Y. Ng
Fermilab, Batavia, Illinois
 X. Huang
SLAC, Menlo Park, California
 S.Y. Lee
IUCF, Bloomington, Indiana



Multiparticle similations are performed to study emittance growth in the Fermilab Booster. Analysis shows that the sourcce of the vertical emittance growth comes mostly from random errors in skew quadrupoles as well as the transverse spacecharge force. Random errors in the dipole fields and the Montague resonance do contribute but to a much lesser extent. The effect of random errors in the quadrupoles is small because the betatron envelope tunes are resonably far away from the halfinteger stopband.

