Past exam of the mathematics course of the University of Cambridge / 2020 / ia / Paper 2 / 12C / a

Table of contents
- Solution a

Solution

Let the photon energies be

E_{1}, E_{2}

and their momentum angle be

θ

. Conservation of four-momentum and the null photon momenta give

M^{2} c^{2} = (p_{1} + p_{2})^{2} = 2 p_{1} \cdot p_{2} = \frac{2 E _{1} E _{2}}{c ^{2}} (1 - cos θ) .

Using

1 - cos θ = 2 sin^{2} (θ /2)

,

sin \frac{θ}{2} = \frac{M c ^{2}}{2 E _{1} E _{2}} .

Thus the opening angle depends only on the parent rest energy and the two photon energies.

 Ancestors (10)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version