- #1

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To be clear, IMD is this process:

[itex]\nu[/itex]

_{[itex]\mu[/itex]}+ e [itex]\rightarrow[/itex] [itex]\nu[/itex]

_{e}+ [itex]\mu[/itex]

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- #1

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To be clear, IMD is this process:

[itex]\nu[/itex]

- #2

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It is typically easier to do cross section calculations in the CM frame. You just then do a lorentz transformation to the Lab frame. Or you use a lorentz invariant form of the differential cross section.

To be clear, IMD is this process:

[itex]\nu[/itex]_{[itex]\mu[/itex]}+ e [itex]\rightarrow[/itex] [itex]\nu[/itex]_{e}+ [itex]\mu[/itex]

- #3

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- #4

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For a 2 -> 2 process (like you talked about above) the spectral (or equivalently the angular) differential cross section is not lorentz invariant. But for other types of interactions, for instance the A + B -> C + X where A, B, C are defined particles and X is any other combination of particles, the so-called inclusive differential cross section can be written in a lorentz invariant way. Usually called the lorentz invariant differential cross section (LIDCS).Thanks for the reply! That was kind of what I was thinking. But the differential cross section isn't lorentz invariant (at least I would think it isn't).

You can have a look at this paper (section 4): http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20080043627_2008043417.pdf

Or this one: http://www-zeuthen.desy.de/~pohlmadq/teach/582/ch2.pdf [Broken] For more information.

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- #5

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Thanks again for the reply. I believe that answers everything I wanted to know.

Cheers

Disinterred

Cheers

Disinterred

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