Author: Kornilov, V.
Paper Title Page
WEAM5X01 Beam-Dynamics Issues in the FCC 373
 
  • F. Zimmermann, W. Bartmann, M. Benedikt, M.I. Besana, R. Bruce, O.S. Brüning, X. Buffat, F. Burkart, H. Burkhardt, S. Calatroni, F. Cerutti, S.D. Fartoukh, M. Fiascaris, C. Garion, B. Goddard, B.J. Holzer, W. Höfle, J.M. Jowett, R. Kersevan, R. Martin, L. Mether, A. Milanese, T. Pieloni, S. Redaelli, G. Rumolo, B. Salvant, M. Schaumann, D. Schulte, E.N. Shaposhnikova, L.S. Stoel, C. Tambasco, R. Tomás, D. Tommasini
    CERN, Geneva, Switzerland
  • J.L. Abelleira, E. Cruz Alaniz, A. Seryi
    JAI, Oxford, United Kingdom
  • R.B. Appleby
    UMAN, Manchester, United Kingdom
  • P. Bambade, A. Faus-Golfe, J. Molson
    LAL, Orsay, France
  • J. Barranco
    EPFL, Lausanne, Switzerland
  • J.-L. Biarrotte, A. Lachaize
    IPN, Orsay, France
  • O. Boine-Frankenheim, U. Niedermayer
    TEMF, TU Darmstadt, Darmstadt, Germany
  • M. Boscolo, F. Collamati, A. Drago
    INFN/LNF, Frascati (Roma), Italy
  • A. Chancé
    CEA, Gif-sur-Yvette, France
  • B. Dalena, J. Payet
    CEA/IRFU, Gif-sur-Yvette, France
  • J.D. Fox, G. Stupakov
    SLAC, Menlo Park, California, USA
  • G. Guillermo Cantón
    CINVESTAV, Mérida, Mexico
  • S. Khan, B. Riemann
    DELTA, Dortmund, Germany
  • V. Kornilov
    GSI, Darmstadt, Germany
  • T.M. Mitsuhashi, K. Ohmi
    KEK, Ibaraki, Japan
  
  Funding: European Commission under the Capacities 7th Framework Programme project EuCARD-2, grant agreement 312453, and the HORIZON 2020 project EuroCirCol, grant agreement 654305. Also by the German BMBF.
The international Future Circular Collider (FCC) study is designing hadron, lepton and lepton-hadron colliders based on a new 100 km tunnel in the Geneva region. The main focus and ultimate goal of the study are high-luminosity proton-proton collisions at a centre-of-mass energy of 100 TeV, using 16 T Nb3Sn dipole magnets. Specific FCC beam dynamics issues are related to the large circumference, the high brightness - made available by radiation damping -, the small geometric emittance, unprecedented collision energy and luminosity, the huge amount of energy stored in the beam, large synchrotron radiation power, plus the injection scenarios. In addition to the FCC-hh proper, also a High-Energy LHC (HE-LHC) is being explored, using the FCC-hh magnet technology in the existing LHC tunnel, which can yield a centre-of-mass energy around 25 TeV. 		 
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THPM3X01
 Head-Tail Instability and Landau Damping in Bunches with Space Charge  
 
  • V. Kornilov, O. Boine-Frankenheim
    GSI, Darmstadt, Germany
  
  Landau damping of the head-tail modes defines the impedance budget and the intensity limits for ring machine performance. The long-known source of the damping has been the octupole nonlinearity. So far, only the damping of the rigid mode k=0 has been modeled using a 2D dispersion relation. Recently, the transverse space-charge field has been identified as an important damping component. Quantitive estimations of the resulting Landau damping is still an open question, especially for the higher order modes. There is also a long-standing debate how to describe the head-tail frequency shifts due to coherent and due to incoherent effect in the stability calculations. We present a model for the Landau damping in bunches based on the concept of the collective mode positioning with respect to the incoherent spectrum. Secondly, we discuss an accurate description for the head-tail eigenfrequency shifts. The predictions and the physical understanding are verified using particle tracking simulations, and in particular by the experimental results.  
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