Pop And Shine

This is the case where after a collision, a particle of high energy state \(n\gt1\) is created, that transit to the lowest energy state, \(n=1\),

with the emission of a photon.  This allows for radiations, in addition to particle creation, in the process of particle decomposition.

At this point there seems to be no simple formulation for,

$\require{AMScd}$
\begin{CD}
      f@>{\text{collision Xform}}>>f_0+f_1+f_2+...
\end{CD}

Good night