Question 8

A neutral pion $\pi^0$ moving with speed $v=0.98c$ decays in flight into two photons,

$$\pi^0 \rightarrow \gamma + \gamma.$$

If the two photons emerge on each side of the pion's direction with equal angles $\theta$, find the energy of the photons and $\theta$.

[The (rest) mass of the $\pi^0$ is 135 MeV/$c^2$.]

[Numerical answers can be found here.]

[Hints can be found here, but do not follow this link until you have attempted the question on your own.]