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- k,
,p,p'
- 4-momenta of the initial photon, laser photon,
final electron and positron.
,
,
,
-
Energies of the initial photon, laser photon,
final electron and positron.
- Laser intensity parameter
- Laser energy parameter:
.
- n
- Number of absorbed laser photons
- x
- =
. (0<x<1)
- u
- u=1/[4x(1-x)],
, (
).
- Maximum u for given n:
.
-
- Initial photon helicity
- Laser helicity
- Final electron helicity
- `Detector' helicity of the final electron.
- Final electron angle
- The argument of the Bessel functions in the following
expressions:
![tex2html_wrap_inline11372](img824.gif)
Total number of pair electrons per unit time summed over the positron
polarization is
![equation6156](img825.gif)
Sum over final electron polarization gives
![equation6158](img826.gif)
![eqnarray6164](img827.gif)
These formulas can be obtained from those of
by the replacement
![equation6168](img828.gif)
This implies
![equation6170](img829.gif)
For convenience, we have changed the sign as
![equation6172](img830.gif)
For given x and n, the final momenta are given by
![equation6174](img831.gif)
![equation6176](img832.gif)
Here,
is the azimuthal scattering angle in a head-on frame and
![equation6178](img833.gif)
These vectors satisfy
![equation6219](img834.gif)
Toshiaki Tauchi
Thu Dec 3 17:27:26 JST 1998