- #1

vmr101

Gold Member

- 25

- 1

## Homework Statement

A Photon has undergone Inverse Compton Scattering, a charged particle of rest mass m

_{0}has relativistic energy E >> m

_{0}, collides head on with a photon of frequency v, where hv << m

_{0}. Assume the complete process takes place in one spatial dimension, say x.

Using the conservation laws of rel. energy and rel. linear momentum, show the energy transfer to the photon is given by:

[tex] hv' = \frac{hvE(1+u)} {2hv+E(1-u)} [/tex]

## Homework Equations

where the rel. momentum of the charged particle before the collision is

**p**

_{x}= -Eu## The Attempt at a Solution

I have [tex]E+hv = E'+hv'[/tex] (cons. of energy) and [tex]-Eu+hv = E'u' - hv'[/tex] (cons. of linear momentum)

I sub one into the other, yet am stuck with

**u'**which I can not resolve. I believe this can be solved with the required information, but I am unsure how to proceed. Any help would be appreciated. Thank you.