Preface
Author biography
1 Symmetry, physical laws, and electric dipole moments
1.1 Introduction
1.2 Force field symmetries
1.2.1 Vectors
1.2.2 Vectors and pseudovectors
1.2.3 Modern analog of the Ampere experiment
1.3 Why measure EDMs, which, and how?
2 Some essential experiments
2.1 Neutron EDM measurements
2.2 Penning traps and Penning-like traps
2.3 Electron EDM measurement using polar molecule enhancement
2.4 The future
References
3 Magnetic precessions
3.1 Cyclotron rotation, gyromagnetic ratio, and Larmor precession
3.1.1 Classical picture
3.1.2 Magnetic moment parameterization
3.2 Storage ring EDM measurement
3.3 Spurious magnetic precessions
3.3.1 Reducing the influence of environmental magnetic fields
3.3.2 Low frequency magnetic fields
3.3.3 Neutron EDM magnetic precessions
3.3.4 Magnetic noise comparison of neutron and proton EDM
experiments
References
4 Just enough accelerator physics
4.1 Preview
4.2 The uniform field ring
4.3 Horizontal stability
4.4 Vertical stability
4.5 Simultaneous horizontal and vertical stability
4.6 Dispersion
4.7 Momentum compaction
4.8 Chromaticity
4.9 Transfer matrices
4.10 Transfer matrices for simple elements
4.10.1 Drift space
4.10.2 Thin lens
4.11 Transfer matrix parameterization
4.12 Strong focusing
4.13 General transverse motion
4.13.1 Magnetic deflections
4.13.2 Element strengths and deviations
4.13.3 Nonlinear magnetic field example
Reference
5 All-electric particle dynamics
5.1 Background
5.2 Introduction
5.3 Particle tracking paradigms
5.4 Relativistic kinematics in central force electric field
5.4.1 Solution of the equation of motion
5.4.2 Rescaling of the MP-vector and updating the horizontal slope
5.4.3 Pseudoharmonic description of the motion
References
6 The all-electric Brookhaven electron storage ring
6.1 Introduction
6.2 Storage rings for frozen spin electrons or protons
6.2.1 Simulation of storage ring commissioning
6.3 The AGS Electron Analogue Ring
6.3.1 Reconstruction from historical BNL documents
6.4 Current day simulation of 1955 machine studies tune plane scan
References
7 A self-magnetometer storage ring
7.1 Abstract
7.2 Introduction
7.3 Orbit equations for the storage ring bottle
7.3.1 Distributed octupole field
7.3.2 Guiding center approximation
7.3.3 Fast-slow approximation
7.3.4 0ctupole restrained motion
7.4 Self-magnetometer precision
7.4.1 Compensation procedures
7.4.2 Calculated self-magnetometer precision
References
8 Frequency domain EDM experiment design
8.1 Introduction
8.1.1 - Review of fundamentals
8.1.2 Physics justification and current status
8.2 Proposed method
8.2.1 Definition of'nominal' EDM
8.2.2 The frequency domain 'advantage'
8.2.3 Tentative parameters
8.3 Error analysis strategy
8.3.1 Storage ring as 'charged particle trap'
8.3.2 Categorization of error sources
8.3.3 Thermal noise limited precision
8.4 Spin precession
8.4.1 Field transformations
8.4.2 MDM-induced precession in electric field
8.4.3 EDM-induced precession in electric field
8.5 Conquering ABr field errors
8.5.1 Qualitative discussion
8.6 Roll-reversal accuracy
8.6.1 Wien filter design
8.6.2 Roll-reversal symmetry
8.6.3 Determination of roll reversal accuracy
8.7 Other calculations
8.7.1 Geometric phase errors
8.8 Recapitulation and conclusions
References
9 The Bargmann-Miehel-Telegdi equation
9.1 Relativistic mechanics
9.2 Angular momentum 3-vector s
9.3 The momentum-weighted spin 4-vector W
9.4 Lorentz transformation of 4-spin components
9.5 The BMT equation
9.6 Special cases of spin precession
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