Explicit symplectic orbit and spin tracking method for electric storage ring

Hwang, Kilean; Lee, S. Y.

doi:10.1103/PhysRevAccelBeams.19.084001

Title: Explicit symplectic orbit and spin tracking method for electric storage ring

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Abstract

We develop a symplectic charged particle tracking method for phase space coordinates and polarization in all electric storage rings. Near the magic energy, the spin precession tune is proportional to the fractional momentum deviation δ_m from the magic energy, and the amplitude of the radial and longitudinal spin precession is proportional to η/δ_m, where η is the electric dipole moment for an initially vertically polarized beam. As a result, the method can be used to extract the electron electric dipole moment of a charged particle by employing narrow band frequency analysis of polarization around the magic energy.

Authors:: Hwang, Kilean; Lee, S. Y.

Publication Date:: Thu Aug 18 00:00:00 EDT 2016

Research Org.:: Indiana Univ., Bloomington, IN (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1298345

Alternate Identifier(s):: OSTI ID: 1395568

Grant/Contract Number:: FG02-12ER41800; SC0008026

Resource Type:: Published Article

Journal Name:: Physical Review Accelerators and Beams

Additional Journal Information:: Journal Name: Physical Review Accelerators and Beams Journal Volume: 19 Journal Issue: 8; Journal ID: ISSN 2469-9888

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 43 PARTICLE ACCELERATORS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

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                    Hwang, Kilean, and Lee, S. Y. Explicit symplectic orbit and spin tracking method for electric storage ring.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevAccelBeams.19.084001.

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                    Hwang, Kilean, & Lee, S. Y. Explicit symplectic orbit and spin tracking method for electric storage ring.  United States.  https://doi.org/10.1103/PhysRevAccelBeams.19.084001

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                    Hwang, Kilean, and Lee, S. Y. Thu .  
"Explicit symplectic orbit and spin tracking method for electric storage ring".  United States.  https://doi.org/10.1103/PhysRevAccelBeams.19.084001.

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@article{osti_1298345,

  title        = {Explicit symplectic orbit and spin tracking method for electric storage ring},

  author       = {Hwang, Kilean and Lee, S. Y.},

  abstractNote = {We develop a symplectic charged particle tracking method for phase space coordinates and polarization in all electric storage rings. Near the magic energy, the spin precession tune is proportional to the fractional momentum deviation δm from the magic energy, and the amplitude of the radial and longitudinal spin precession is proportional to η/δm, where η is the electric dipole moment for an initially vertically polarized beam. As a result, the method can be used to extract the electron electric dipole moment of a charged particle by employing narrow band frequency analysis of polarization around the magic energy.},

  doi          = {10.1103/PhysRevAccelBeams.19.084001},

  journal      = {Physical Review Accelerators and Beams},

  number       = 8,

  volume       = 19,

  place        = {United States},

  year         = {Thu Aug 18 00:00:00 EDT 2016},

  month        = {Thu Aug 18 00:00:00 EDT 2016}

}

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