Beam Dynamics

=> SEE: general parameters along the muon collider chain and Beam Dynamics meetings

 

SEE

 

 

1) PROTON DRIVER

porton1

"Collective Effects and Final Bunch Rotation in a 2.2 GeV – 44 MHz Proton Accumulator – Compressor for a Neutrino Factory" by R. Cappi, J. Gareyte, E. Métral, D. Möhl (2000).

 

 

 

2) FRONT END

Front end

 

 

 

3) COOLING

Cooling

 

=> Beam momentum is ~ 0.2 GeV/c for Rectilinear and ~ 0.07 GeV/c for Final cooling (and ~ 0.05 GeV/c at the end).

Single Particle description of Ionization Cooling by G. Franchetti (2000).

Linear beam optics in solenoidal channels by G. Franchetti (2001).

"Influence of space-charge fields on the cooling process of muon beams" by D. Stratakis, R.B. Palmer and D.P. Grote (PRAB2015) => It was found there that the deterioration of the cooling performance is primarily caused by the longitudinal space-charge force, setting a limit to the longitudinal emittance at ~ 1 mm.

Space code for beam-plasma interaction by R. Samulyak (IPAC2015).

- Status with Bernd Michael Stechauner as of 04/04/22: At the entrance of the final cooling stage, we begin with a beam kinetic energy of ~ 100MeV. That means, that the beam has to be accelerated between 6D-cooling and final cooling stage (from 50 to 175 MeV/c). Final cooling: several cells, where the beam will be cooled down and reaccelerated. In the last cell of the final cooling structure, we assume a final beam kinetic energy of ~ 5-10 MeV.

 

4) ACCELERATION

- List of parameters from Fabian Batsch et al. (1st meeting on HEMAC discussions, 22/02/22):

1) Case 10 T (maximum field in hybrid RCS): Table 1/2 and Table 2/2.

2) Case 16 T (maximum field in hybrid RCS): Table 1/2 and Table 2/2.

 

Acc1

 

Acc2

 

"Muon Acceleration: Neutrino Factory and Beyond" by S. Alex Bogacz (PoS, 2017).

=> We have something like this for the acceleration scheme: 

  • Linac from ~ 0.2 GeV/c to ~ 1.5 GeV.
  • RLinac from ~ 1.5 GeV to ~ 5 GeV.
  • RLinac from ~ 5 GeV to 63 GeV.
  • RCS from 63 GeV to ~ 300 GeV.
  • RCS from ~ 300 GeV to 1.5 TeV (for the first version of a Muon Collider with a c.m. energy of 3 TeV). Another RCS would be needed to go to 10 or 14 TeV c.m. energy.

Muon Collider Pulsed Synchrotron Parameters by S. Berg (April 2021).

Single Bunch Energy Spread in the TESLA Cryomodule by A. Novokhatski, M. Timm and T. Weiland (1999).

- TESLA cavity: Tesla CAD model from Scott Berg on 30/06/21 (courtesy of SLAC).

- Website with impedance models for the RCS and Collider (CERN login required): muc-impedance.docs.cern.ch

 

 

5) COLLIDER RING

Collider1

 

Main relevant beam parameters.

- Website with impedance models for the RCS and Collider (CERN login required): muc-impedance.docs.cern.ch

OTHER REFERENCES:

MAP on Internet Archive (archived list of documents).

Unit conversion for longitudinal emittances (Fabian Batsch, April 2022).

Letter of interest for Snowmass (H. Bartosik and G. Rumolo, 2020) => To see which types of beams (and associated beam powers) are available at CERN.

"Accelerator Physics in the Accelerator and Collider Complex" by J.S. Berg (Workshop on Muon Collider Testing Opportunities, 22/03/21).

"A Design for a 3 TeV Rapid Cycling Synchrotron for
Muon Acceleration in the SPS Tunnel" by T. Dascalau et al. (2020)
.

Accelerator Physics of Colliders (Revised August 2019 by M.J. Syphers and F. Zimmermann).

"On the feasibility of a pulsed 14 TeV c.m.e. muon collider in the LHC tunnel" by D. Neuffer and V. Shiltsev (2018).

"Numerical Study of Collective Effects for Muon Beams" by D. Huang et al. (2009).

"Collective Effects in High-Energy Muon Colliders" by E. Keil (2000).

"Control of Longitudinal Collective Behavior in the Muon Collider Rings" by W.H. Cheng et al. (1997).

"Beam Stability Issues in a Quasi-Isochronous Muon Collider" by K.Y. Ng (1996).

"Studies of Collective Instabilities in Muon Collider Rings" by W.H. Cheng et al. (1996).

"Progress on the Design of a High Luminosity Mu+Mu- Collider" by R.B. Palmer et al. (1996).

"Single Bunch Collective Effects In Muon Colliders by W.H Cheng et al. (1996).

"Equations of Motion and Hamiltonian for
Synchrotron Oscillations and Synchro-Betatron
Coupling" by T. Suzuki (1996)
.

"Muon Collider Design" by R. Palmer et al. (1995)