| Paper |
Title |
Page |
| THPAN109 |
A New Lattice Design for a 1.5 TeV CoM Muon Collider Consistent with the Tevatron Tunnel
|
3483 |
| |
- P. Snopok
- M. Berz
MSU, East Lansing, Michigan
- C. Johnstone
Fermilab, Batavia, Illinois
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A recent effort is underway to design an efficient match of a Muon Collider to the Fermilab site, potentially using the Tevatron tunnel after decommissioning. This work represents a new design for such a collider with emphasis on shortened IR and systematic high-order correction and dynamics studies. With a 1 cm β*, simultaneous control of geometric and chromatic aberrations is critical and can only be achieved through the deliberate addition of nonlinear fields in the Interaction Region itself. This work studies both the correction schemes and the unavoidable impact of high-order correctors – sextupoles, octupoles and even duodecapoles – located in the Interaction Region close to the low-beta quadrupoles or focusing elements. This study proposes and systematically addresses the aberrations for different systems of nonlinear correctors and optimizes performance of an advanced IR.
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| FRPMS009 |
Calculating the Nonlinear Tune Shifts with Amplitude using Measured BPM Data
|
3889 |
| |
- P. Snopok
- M. Berz
MSU, East Lansing, Michigan
- C. Johnstone
Fermilab, Batavia, Illinois
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| |
An algorithm is proposed to calculate the approximate tune shifts with amplitude using only the linear transfer map of a circular accelerator and with little or no information on higher order nonlinearities. To extract information about the nonlinear dynamics, the decay rate of the average amplitude of the particle distribution after an instantaneous transversal horizontal or vertical kick is used. This method works when strong low-order resonances are not present, that is where the linear lattice rather than the nonlinear driving terms dominates the machine dynamics. Nonlinear normal form transformation and differential algebra methods are employed to establish the connection between measurement results and the nonlinear tune shifts with amplitude. Proposed algorithm is applicable to a wide range of circular accelerators.
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