Paper |
Title |
Page |
MOPME012 |
A New Tool for Automated Orbit and Spin Motion Analysis |
403 |
SUSPSNE066 |
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- D. Zyuzin
FZJ, Jülich, Germany
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There are a lot of tools to simulate beam dynamics in accelerators of various types. Many of them are intended to use for specific purposes, and there are universal codes that can simulate both orbit and spin motion in magnetic and electrostatic structures. To start using these codes beam physicist first should have learn syntax, know features and methods how to describe lattice and beams in this particular code. Output data structures of different simulation programs are also vary and depend on peculiarities of each program. This paper proposes a new tool for automated generation and execution of input files for simulation programs and for data analysis of output data. The developed tool allows to describe a lattice, calculate different lattice parameters (like tunes) using simulation program, track particles inside the lattice and analyze various parameters of output data (like beam depolarization). Simulations and analysis can be done in parallel using built-in parallelization mechanisms, and all results can be stored in the database and can be easily fetched when needed. The tool is used to simulate beam and spin dynamics in different lattices to increase spin coherence time.
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DOI • |
reference for this paper
※ https://doi.org/10.18429/JACoW-IPAC2014-MOPME012
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THPRO062 |
Spin Tune Decoherence in Multipole Fields |
3017 |
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- Y. Senichev, A.N. Ivanov, A. Lehrach, R. Maier, D. Zyuzin
FZJ, Jülich, Germany
- S.N. Andrianov
St. Petersburg State University, St. Petersburg, Russia
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This article analyzes possible limitations in the method to search for the electric dipole moment (EDM) using polarized particles in a storage ring. It is well known that for detection of the electric dipole moment one needs to create such conditions where the particle's spin oscillations can be caused only by the EDM. Really, there are two possible methods for EDM search using a storage ring: resonant spin buildup in a magnetostatic ring and “frozen” spin method in an electrostatic ring with “magic” energy. Both methods have common limitations caused by spin decoherence. In the frame of self consistent theory the reasons of the spin decoherence are classified independently on method and discussed taking into consideration multipole components of external fields, as well as the nonlinearities of RF fields.
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DOI • |
reference for this paper
※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO062
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THPRO063 |
Spin Tune Parametric Resonance Investigation |
3020 |
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- Y. Senichev, A.N. Ivanov, A. Lehrach, R. Maier, D. Zyuzin
FZJ, Jülich, Germany
- S.N. Andrianov
St. Petersburg State University, St. Petersburg, Russia
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The idea of resonant spin oscillation method was modernized and improved in Forschungszentrum Julich in the proposed experiment at the COSY ring. The resonant method is based on spin tune parameterization using transverse RF magnetic or/and electric field. The spin orientation smearing due to the finite spin coherence time (SCT) plays a crucial in the proposed experiment to search for the electric dipole moment. Our analysis is based on the T-BMT differential equations for spin together with shorten motion equations. Using well developed theory of Mathieu's differential equations we have got simplified analytic solution for prediction of spin behavior. In this paper we have numerically evaluated all effects having fundamental contributions from our point of view.
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※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO063
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THPRO071 |
Control of Calculations in the Beam Dynamics using Approximate Invariants |
3041 |
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- S.N. Andrianov
St. Petersburg State University, St. Petersburg, Russia
- D. Zyuzin
FZJ, Jülich, Germany
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One of the important problems in the theory of dynamical systems is to find corresponding (invariants). In this article we are discussing some problems of computing of invariant functions (invariants) for dynamical systems. These invariants can be used for describing of particle beams systems. The suggested method is constructive and based on the matrix formalism for Lie algebraic tools. We discuss two types of invariants: kinematic and dynamic. All calculations can be realized in symbolic forms, in particular, kinematic invariants are based on the theory of representations of Lie algebras (in particular, using the Casimir’s operators). For the case of nonlinear kinematic invariants we propose a recursive scheme, which can be implemented in symbolic forms using instruments of computer algebra (for example, such packages as Maple or Mathematica). The corresponding expressions for invariants can be used to control the correctness of computational experiments, first of all for long time beam dynamics.
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DOI • |
reference for this paper
※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO071
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