Muon g-2 measurement

Helpful diagrams to explain the measurement of the anomalous moment g-2 of the muon, via its precession in the magnetic field of a storage ring at FNAL.
Also see general magnetic moment diagrams, or the “decay” tag for more similar figures.

Uniform circular motion of a positively charged particle in a uniform magnetic field with cyclotron frequency ωC:

Uniform circular motion of a negatively charged particle:

Muon spin and momentum are aligned at all times in the storage ring if g = 2 exactly.

If g > 2, the muon spin will rotate faster due to anomalous precession.

Anomalous frequency ωa with some initial phase shift:

Edit and compile if you like:

% Author: Izaak Neutelings (March 2020)
\documentclass[border=3pt,tikz]{standalone}
\usepackage{amsmath} % for \dfrac
\usepackage{mathabx} % for \Earth
\usepackage{bm} % \bm
\usepackage{physics}
\usepackage{tikz}
\usetikzlibrary{angles,quotes} % for pic (angle labels)
\usetikzlibrary{arrows.meta}
\usetikzlibrary{calc}
\usetikzlibrary{decorations.markings}
\tikzset{>=latex} % for LaTeX arrow head
\usepackage{xcolor}
\colorlet{Bcol}{violet!90}
\colorlet{BFcol}{red!50!black}
\colorlet{vcol}{red!50!black}
\colorlet{veccol}{green!50!black}
\colorlet{Icol}{blue!70!black}
\colorlet{wcol}{orange!90!black}
\colorlet{metal}{blue!30!black!12}
\colorlet{Scol}{green!60!black}
\tikzstyle{BField}=[->,very thick,Bcol]
\tikzstyle{current}=[->,Icol] %thick,
\tikzstyle{force}=[->,very thick,BFcol]
\tikzstyle{velocity}=[->,thick,vcol]
\tikzstyle{spin}=[->,very thick,Scol]
\tikzstyle{charge+}=[very thin,draw=black,top color=red!50,bottom color=red!90!black,shading angle=20,circle,inner sep=0.2]
\tikzstyle{charge-}=[very thin,draw=black,top color=blue!50,bottom color=blue!80,shading angle=20,circle,inner sep=0.2]
\tikzstyle{vector}=[->,thick,veccol]
\tikzset{
BFieldLine/.style={thick,Bcol,decoration={markings,mark=at position #1 with {\arrow{latex}}},
postaction={decorate}},
BFieldLine/.default=0.5,
pics/Bin/.style={
code={
\def\RB{0.12}
\draw[pic actions,#1,line width=0.6] % ,thick
(0,0) circle (\RB) (-135:.7*\RB) -- (45:.7*\RB) (-45:.7*\RB) -- (135:.7*\RB);
}},
pics/Bout/.style={
code={
 
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Click to download: muon_g-2.texmuon_g-2.pdf
Open in Overleaf: muon_g-2.tex

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