U.S. Particle Accelerator School

Storage Rings for Precision Physics Applications -- Muon g-2


Northern Illinois University and UT-Battelle

Course Name:

Storage Rings for Precision Physics Applications -- Muon g-2


Michael Syphers, Northern Illinois University and Fermilab; Diktys Stratakis, Fermilab; David Rubin, Cornell University

Purpose and Audience
Precision magnetic storage rings are being used in experiments to measure properties of fundamental particles, such as the measurement of the anomalous magnetic moment of the muon.  The most recent iteration of this particular measurement is taking place at Fermilab today using a 1.45 T magnet with integrated field fluctuations less that 1 ppm. This course will use the Muon g-2 experimental apparatus and beam delivery system at Fermilab as its model to introduce and discuss the basic accelerator and beam physics issues inherent in such systems and the interplay of beam physics and high energy physics in the measurement of fundamental particle properties.

Students should have completed intermediate level courses in mechanics and electromagnetism and be proficient in basic relativistic mechanics.  Knowledge of elementary aspects of accelerator physics such as transfer matrices and lattice functions is useful, however any required elementary accelerator physics will be presented or reviewed during the course.

It is the responsibility of the student to ensure that he or she meets the course prerequisites or has equivalent experience.

The analysis of the experimental data taken to determine the anomalous magnetic moment of the muon relies very heavily on detailed knowledge and understanding of the properties of the incoming particle beam and of the resulting beam motion once in the ring, providing a unique interplay between high energy physics and beam dynamics.  Upon completion of this course, the students are expected to understand the basic workings of accelerators and their components, basic principles and definitions of beam dynamics, and will be able to analyze experimental observations in terms of fundamental beam properties and dynamical motion.  

Instructional Method
This course primarily includes a series of lectures with additional sessions dedicated to computer calculations/simulations to provide insights into basic accelerator physics as related to the production, transport and storage of charged particles including particle decay and spin manipulation.  Problem sets will be assigned which will be expected to be completed outside of scheduled class sessions.

Course Content
Topics to be presented in the course include
- Introduction and Review of Basics -- the magnetic dipole moment, basic accelerator physics, hardware overview
- Muon Beam Production and Transport -- targeting and beam delivery, instrumentation, phase space measurements, final rate estimates, beam polarization
- Storage Ring Particle Dynamics -- injection issues, equilibrium distributions, loss rates
- Beam Commissioning and Run I Experience -- beam and ring measurements, sources of systematic errors
- Future Prospects -- wedge cooling, rf cleaning, muon EDM search, future EDM storage rings

Reading Requirements
.* Muon (g-2) Technical Design Report, J. Grange, et al., https://arxiv.org/abs/1501.06858 (2015).

* An Introduction to the Physics of High Energy Accelerators*, Wiley Publishers (1993) by D.A. Edwards and M.J. Syphers. (If the student's institution has an agreement with Wiley Publishers, it may be possible to download from http://onlinelibrary.wiley.com/book/10.1002/9783527617272 ).

Credit Requirements
Students will be evaluated on homework assignments (75%) and a group project (25%).  

Northern Illinois University course number:
Indiana University course number: Physics 671, Advanced Topics in Accelerator Physics
Michigan State University course number: PHY 963, "U.S. Particle Accelerator School"
MIT course number: 8.790, "Accelerator Physics"