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Scattering Process Detailed Balance

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physicskinematicsparticle-physicsscatteringFeynman-diagrams

A simple diagram representing a scattering process in particle physics, where two incoming particles with momenta pp and kk interact and produce two outgoing particles with momenta p′p' and k′k'. The principle of detailed balance states that at equilibrium, each scattering process is in equilibrium with its reverse process.


Scattering Process Detailed Balance

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detailed-balance.tex (27 lines)

\documentclass[tikz]{standalone}

\begin{document}
\begin{tikzpicture}[
    very thick,font=\huge,
    col/.style={circle,draw=gray!90,fill=gray!30,minimum size=15},
    incom/.style={<-,shorten <=2},
    outgo/.style={->,shorten <=2}
  ]

  \node[scale=2] (eq) at (0,0) {=};
  \coordinate[col] (col1) at eq++(-4,0);
  \coordinate[col] (col2) at eq++(4,0);

  \draw[outgo] (col1) -- ++(2,1) node[right] {$p^\prime$};
  \draw[outgo] (col1) -- ++(2,-1) node[right] {$k^\prime$};
  \draw[incom] (col1) -- ++(-2,1) node[left] {$p$};
  \draw[incom] (col1) -- ++(-2,-1) node[left] {$k$};

  \draw[outgo] (col2) -- ++(2,1) node[right] {$p$};
  \draw[outgo] (col2) -- ++(2,-1) node[right] {$k$};
  \draw[incom] (col2) -- ++(-2,1) node[left] {$p^\prime$};
  \draw[incom] (col2) -- ++(-2,-1) node[left] {$k^\prime$};

\end{tikzpicture}
\end{document}