Author: Blaskiewicz, M.
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TUAM1X01
A Two Particle Model for Study of Effects of Space-Charge Force on Strong Head-Tail Instabilities.  
 
  • Y.H. Chin
    KEK, Ibaraki, Japan
  • M. Blaskiewicz
    BNL, Upton, Long Island, New York, USA
  • A. Chao
    SLAC, Menlo Park, California, USA
  • Y. Shobuda
    JAEA/J-PARC, Tokai-Mura, Naka-Gun, Ibaraki-Ken, Japan
 
  In this talk, I present a new two particle model for study of strong head-tail instabilities in the presence of the space-charge force. It is a simple expansion of the well-known two particle model. No chromaticity effect is included. It leads to a formula for the growth rate as a function of the two dimensionless parameters: the space-charge tune shift parameter (normalized by the synchrotron tune) and the wake field strength, Υ. The 3-dimensional contour plot of the growth rate as a function of those two dimensionless parameters reveals stopband structures. Many simulation results generally indicate that a strong head-tail instability can be damped by a weak space-charge force, but the beam becomes unstable again when the space-charge force is further increased. The new two particle model indicates a similar behavior. In weak space-charge regions, additional tune shifts by the space-charge force dissolve the mode-coupling. As the space-charge force is increased, they conversely restore the mode-coupling, but then a further increase of the space-charge force decouples the modes again. This mode coupling/decoupling behavior creates the stopbands structures.  
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THAM7X01
RHIC Operation and e-lens Commissioning  
 
  • X. Gu, J.G. Alessi, Z. Altinbas, E.N. Beebe, M. Blaskiewicz, J.M. Brennan, D. Bruno, M.R. Costanzo, W. Fischer, C.J. Gardner, D.M. Gassner, J. Hock, H. Huang, P.F. Ingrassia, J.P. Jamilkowski, T. Kanesue, C. Liu, Y. Luo, G.J. Marr, A. Marusic, C. Mi, R.J. Michnoff, T.A. Miller, M.G. Minty, C. Montag, A.I. Pikin, V.H. Ranjbar, D. Raparia, G. Robert-Demolaize, T. Roser, T. Samms, P. Sampson, V. Schoefer, T.C. Shrey, K.S. Smith, Y. Tan, S. Tepikian, R. Than, P. Thieberger, A. Zaltsman, K. Zeno
    BNL, Upton, Long Island, New York, USA
  • S.M. White
    ESRF, Grenoble, France
 
  Funding: Work supported by Brookhaven Science Associates, LLC under Con- tract No. DE-AC02-98CH10886 with the U.S. Dept. of Energy.
In recent years the proton and ion beam intensity (as well as the current density) at the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory improved considerably. Thanks to an upgrade of the polarized proton source we plan to increase the proton intensity to 3.0·1011 per bunch. In order to accommodate the amplified beam-beam effect originating from proton beams with this unprecedented intensity, a beam-beam compensation scheme with a new lattice and two electron lenses (e-lenses) was installed, commissioned and began operation during the 2015 polarized 100 GeV proton Run.
 
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