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={
Click to download: muon_g-2.tex • muon_g-2.pdf
Open in Overleaf: muon_g-2.tex