Paper  Title  Page 

TUPMY012  Hybrid Methods for Simulation of Muon Ionization Cooling Channels  1568 


Funding: Work is supported by the U.S. Department of Energy. COSY Infinity is an arbitraryorder beam dynamics simulation and analysis code. It can determine highorder transfer maps of combinations of particle optical elements of arbitrary field configurations. New features are being developed for inclusion in COSY to follow the distribution of charged particles through matter. To study in detail some of the properties of muons passing through material, the transfer map approach alone is not sufficient. The interplay of beam optics and atomic processes must be studied by a hybrid transfer map–Monte Carlo approach in which transfer map methods describe the deterministic behavior of the particles in the accelerator channel, and Monte Carlo methods are used to model the stochastic processes intrinsic to liquid and solid absorbers. The advantage of the new approach is that the vast majority of the dynamics is represented by fast application of the highorder transfer map of an entire element and accumulated stochastic effects. The gains in speed are expected to simplify the optimization of muon cooling channels which are usually very computationally demanding. Progress on the development of the required algorithms is reported. 

DOI •  reference for this paper ※ DOI:10.18429/JACoWIPAC2016TUPMY012  
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WEPOY053  Comparison of Tracking Codes for the Determination of Dynamic Aperture in Storage Rings  3114 


Funding: This work is supported by the U.S. Department of Energy under grant number DEFG0208ER41546 Currently there is a great deal of activity towards making precision measurements utilizing storage rings, for example the Muon g2 experiment at Fermilab, and the Electric Dipole Moment (EDM) program of the JEDI Collaboration. These experiments are intended to perform measurements requiring subppm precision. Of utmost importance in this regard is the ability of tracking codes to treat all nonlinear effects arising from the detailed field distributions present in the system, not the least of which are fringe fields. In previously published work,*,**, we performed parallel tests of various tracking codes in order to compare and contrast the results. In this study, we continue this line of research and extend the scope to parallelfaced dipoles and electrostatic dipoles. * R.Hipple, M. Berz, Microscopy and Microanalysis 21 Suppl. 4 (2015) ** R. Hipple, M.Berz, MODBC3, ICAP 2015, in press. 

DOI •  reference for this paper ※ DOI:10.18429/JACoWIPAC2016WEPOY053  
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THPMR005  Systematic Errors Investigation in Frozen and QuasiFrozen Spin Lattices of Deuteron EDM Ring  3394 


The search for the electric dipole moment (EDM) in the storage ring raises two questions: how to create conditions for maximum growth of the total EDM signal of all particles in bunch, and how to differentiate the EDM signal from the induced magnetic dipole moment (MDM) signal. The TBMT equation distinctly addresses each issue. Because the EDM signal is proportional to the projection of the spin on the direction of the momentum, it is desirable to freeze the spin direction of all particles in a bunch along momentum. It can be successfully implemented in the Quasi Frozen (QFS) and Frozen (FS) Spin structures. However, in case of magnet misalignments, the induced MDM signal may arise in the same plane as the EDM signal and thereby prevent its registration. In this paper, we analyze the effect of errors together with the spintune decoherence of all particles in the bunch for FS and QFS options.  
DOI •  reference for this paper ※ DOI:10.18429/JACoWIPAC2016THPMR005  
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THPMR006  Muon Beam Tracking and SpinOrbit Correlations for Precision g2 Measurements  3397 


The main goal of the Muon g2 Experiment (g2) at Fermilab is to measure the muon anomalous magnetic moment to unprecedented precision. This new measurement will allow to test the completeness of the Standard Model (SM) and to validate other theoretical models beyond the SM. The close interplay of the understanding of particle beam dynamics and the preparation of the beam properties with the experimental measurement is tantamount to the reduction of systematic errors in the determination of the muon anomalous magnetic moment. We describe progress in developing detailed calculations and modeling of the muon beam delivery system in order to obtain a better understanding of spinorbit correlations, nonlinearities, and more realistic aspects that contribute to the systematic errors of the g2 measurement. Our simulation is meant to provide statistical studies of error effects and quick analyses of running conditions for when g2 is taking beam, among others. We are using COSY, a differential algebra solver developed at Michigan State University that will also serve as an alternative to compare results obtained by other simulation teams of the g2 Collaboration.  
DOI •  reference for this paper ※ DOI:10.18429/JACoWIPAC2016THPMR006  
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