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[QUE/QFT-15008], Neutral pion scattering ( Identical Particles)

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Assuming \(\frac{g}{4!} \pi^4(x)\) interaction for  neutral pions  of mass \(m\), find

  1.    transition probability per unit time per unit volume for \(\pi - \pi\) scattering 
  2.   compute the total cross section for the scattering process and show that  \[ \frac{d\sigma}{d\Omega}= \frac{g^2}{64\pi^2 E_\text{cm}^2}\]Be careful about normalization of two identical pion states.

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