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  Interpretation of the Bjorken x.

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In the infinite momentum frame the Bjorken x, \(x_B\), is interpreted as the longitudinal momentum fraction  of a nucleon carried by the struck parton. How can \(x_B = \frac{Q^2}{2P.q}\) , where the symbols carry the usual meanings, be interpreted that way? What is the logic behind that interpretation? Could you please explain it in a rather intuitive way?

asked Jun 23, 2014 in Theoretical Physics by Nottherealwigner (135 points) [ revision history ]

Hm I know the infinite momentum frame from some other context, so the symbols used here are unfamiliar to me at least... ?
 

Dear Dilation

In a deep-inelastic scattering process, \(Q^2 = -q^2\) and P and are the four momenta of the nucleon and the virtual photon. Thanks.

Thanks, this already helps a bit. But thinking more about it I realize that I have some difficulties in figuring out what is the exact (scattering) process you are looking at? I do best understand things when they are pictured by Feynman diagrams, but I have not yet tried to produce them in LaTex, not sure if it would work here ...

Dear Dilation

The Feynman diagram will be the simplest in case of inclusive deep inelastic scattering: an electron scatters from a nucleon and only the electron is detected in the final state; for a deep inelastic process \(Q^2 > 1 \mathrm{GeV^2}\). Thanks

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