6D Ionization Cooling Channel with Resonant Dispersion Generation

For muons with preferable for ionization cooling momentum <300MeV/c the longitudinal motion is naturally undamped. In order to provide the longitudinal damping a correlation between muon momentum and transverse position--described in terms of the dispersion function--should be introduced. In the present report we consider the possibility of dispersion generation in a periodic sequence of alternating solenoids (FOFO channel) by choosing the tune in the second passband (i.e. above half-integer per cell) and tilting the solenoids in adjacent cells in the opposite direction. Analytical estimates for equilibrium emittances and cooling rates are presented

A Complete Scheme of Ionization Cooling for a Muon Collider

A complete scheme for production and cooling a muon beam for three specified muon colliders is presented. Parameters for these muon colliders are given. The scheme starts with the front end of a proposed neutrino factory that yields bunch trains of both muon signs. Emittance exchange cooling in slow helical lattices reduces the longitudinal emittance until it becomes possible to merge the trains into single bunches, one of each sign. Further cooling in all dimensions is applied to the single bunches in further slow helical lattices. Final transverse cooling to the required parameters is achieved in 50 T solenoids using high Tc superconductor at 4 K. Preliminary simulations of each element are presented.Comment: 3 pages, 6 figure

The Case for a Muon Collider Higgs Factory

We propose the construction of a compact Muon Collider Higgs Factory. Such a machine can produce up to \sim 14,000 at 8\times 10^{31} cm^-2 sec^-1 clean Higgs events per year, enabling the most precise possible measurement of the mass, width and Higgs-Yukawa coupling constants.Comment: Supporting letter for the document: "Muon Collider Higgs Factory for Smowmass 2013", A White Paper submitted to the 2013 U.S. Community Summer Study of the Division of Particles and Fields of the American Physical Society, Y. Alexahin, et. al, FERMILAB-CONF-13-245-T (July, 2013

A Complete Scheme of Ionization Cooling for a Muon Collider

The conclusions of this report are: (1) New 1.5 TeV Collider lattice has more conservative IP parameters--(a) Luminosity 1 x 10{sup 34} achieved with bunch rep rate {approx}12 Hz but requires depth {approx}135 (m) to limit neutrino radiation, (b) Collider ring must be deep (eg 135 m of ILC) to control neutrino radiation, and (c) Proton driver ({approx}4 MW) is challenging; (2) Complete cooling scheme achieves required muon parameters--All components simulated (at some level) with realistic parameters, but much work remains; (3) Possible problem with rf breakdown in specified magnetic fields--Solutions with gas in cavities appear to work, and designs with open cell rf are promising; and (4) Lower cost acceleration possible using pulsed magnets in synchrotrons--Rings fit in Tevatron tunnel, and second ring uses hybrid of fixed and pulsed magnets

Excitation of the synchro-betatron resonances by the beam-beam interaction in the Tevatron Run II lattice

Effect of different mechanisms of the synchro-betatron coupling (dispersion function at the interaction points, chromatic tune modulation, finite bunch length) on the p-bar stability in the Tevatron Run II configuration is considered. It is found that the long-range interactions in the presence of large dispersion produce large contribution ({approximately}10) to the chromaticity of the betatron tunes. This chromaticity, in its turn, can give rise to multiple synchrotron satellites of the betatron resonances increasing their effective width. Novel formulae are presented which permit to significantly speed up analytical calculations of the beam-beam tuneshifts and resonance strength