# GEANT Moller Simulations Comparison

Converting the number of electrons scattered per angle theta to barns, we can use the relation

If the time is taken to be the same for the amount scattered as for the amount incident (the time simulated), this can be viewed as the probability of one incident electron producing a Moller event.

While this expression has no explicit dependancies on energy, the ratio is a function of the energy, as well as the physical makeup of the target.

This gives,

For 5 cm length of a LH2 target:

For 1 cm length of a LH2 target:

From earlier simulations for random angle Phi, we know that the full range of Theta is limited depending on the target material.

For 4e7 incident electrons:

For a Luminosity of

For 4e8 incident electrons:

For a Luminosity of

For 6e7 incident electrons with a 5cm long LH2 target:

For a Luminosity of

For 6e6 incident electrons with a 5cm long LH2 target:

For a Luminosity of