Chromaticity correction for a muon collider optics
Abstract
Muon Collider (MC) is a promising candidate for the next energy frontier machine. However, in order to obtain peak luminosity in the 10{sup 34} cm{sup 2}s{sup 1} range the collider lattice designmust satisfy a number of stringent requirements. In particular the expected large momentum spread of the muon beam and the very small {beta}* call for a careful correction of the chromatic effects. Here we present a particular solution for the interaction region (IR) optics whose distinctive feature is a threesextupole local chromatic correction scheme. The scheme may be applied to other future machines where chromatic effects are expected to be large. The expected large muon energy spread requires the optics to be stable over a wide range of momenta whereas the required luminosity calls for {beta}* in the mm range. To avoid luminosity degradation due to hourglass effect, the bunch length must be comparatively small. To keep the needed RF voltage within feasible limits the momentum compaction factor must be small over the wide range of momenta. A low {beta}* means high sensitivity to alignment and field errors of the Interaction Region (IR) quadrupoles and large chromatic effects which limit the momentum range of optics stability and require strongmore »
 Authors:
 Publication Date:
 Research Org.:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1013749
 Report Number(s):
 FERMILABCONF11090APC
TRN: US1102560
 DOE Contract Number:
 AC0207CH11359
 Resource Type:
 Conference
 Resource Relation:
 Conference: Presented at 2011 Particle Accelerator Conference (PAC'11), New York, NY, 28 Mar  1 Apr 2011
 Country of Publication:
 United States
 Language:
 English
 Subject:
 43 PARTICLE ACCELERATORS; ACCELERATORS; ALIGNMENT; APERTURES; DESIGN; LUMINOSITY; MAGNETS; MUON BEAMS; MUONS; OPTICS; QUADRUPOLES; SENSITIVITY; STABILITY; Accelerators
Citation Formats
Alexahin, Y., GianfeliceWendt, E., Kapin, V., and /Fermilab. Chromaticity correction for a muon collider optics. United States: N. p., 2011.
Web.
Alexahin, Y., GianfeliceWendt, E., Kapin, V., & /Fermilab. Chromaticity correction for a muon collider optics. United States.
Alexahin, Y., GianfeliceWendt, E., Kapin, V., and /Fermilab. Tue .
"Chromaticity correction for a muon collider optics". United States.
doi:. https://www.osti.gov/servlets/purl/1013749.
@article{osti_1013749,
title = {Chromaticity correction for a muon collider optics},
author = {Alexahin, Y. and GianfeliceWendt, E. and Kapin, V. and /Fermilab},
abstractNote = {Muon Collider (MC) is a promising candidate for the next energy frontier machine. However, in order to obtain peak luminosity in the 10{sup 34} cm{sup 2}s{sup 1} range the collider lattice designmust satisfy a number of stringent requirements. In particular the expected large momentum spread of the muon beam and the very small {beta}* call for a careful correction of the chromatic effects. Here we present a particular solution for the interaction region (IR) optics whose distinctive feature is a threesextupole local chromatic correction scheme. The scheme may be applied to other future machines where chromatic effects are expected to be large. The expected large muon energy spread requires the optics to be stable over a wide range of momenta whereas the required luminosity calls for {beta}* in the mm range. To avoid luminosity degradation due to hourglass effect, the bunch length must be comparatively small. To keep the needed RF voltage within feasible limits the momentum compaction factor must be small over the wide range of momenta. A low {beta}* means high sensitivity to alignment and field errors of the Interaction Region (IR) quadrupoles and large chromatic effects which limit the momentum range of optics stability and require strong correction sextupoles, which eventually limit the Dynamic Aperture (DA). Finally, the ring circumference should be as small as possible, luminosity being inversely proportional to the collider length. A promising solution for a 1.5 TeV center of mass energy MC with {beta}* = 1 m in both planes has been proposed. This {beta}* value has been chosen as a compromise between luminosity and feasibility based on the magnet design and energy deposition considerations. The proposed solution for the IR optics together with a new flexible momentum compaction arc cell design allows to satisfy all requirements and is relatively insensitive to the beambeam effect.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Mar 01 00:00:00 EST 2011},
month = {Tue Mar 01 00:00:00 EST 2011}
}


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In this paper we present the proposed scheme for reducing the nonlinear chromaticity of the collider in the collision mode. Briefly, the optics of the collider lattice with special emphasis on the interaction regions which are the main sources of chromaticity are discussed. Then, a theoretical calculation of the secondorder chromaticity in a storage ring is discussed. Next we focus on the secondorder tune shift due to the triplets, the domain sources of chromaticity in the interaction regions. The fifth topic is the theory behind our proposed scheme for correcting higherorder chromaticity. The last concerns of this paper are evaluationmore » 
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