Deep inelastic scattering and scaling behaviour

Finally we remark that like the electromagnetic case one can relate the structure functions to total cross-sections for the absorption of virtual W (or Z ) of various helicities on unpolarized nucleons. The analogue of (15.3.25) is 

The above relations will be important in understanding the parton model for the structure functions Wj. 

For V and Q2 gm-h that Mx is small, a plot of da/dMx vs Mx shows typical resonance bumps as Mx crosses values corresponding to the pro- 

Note that for elastic scattering = 2m] iu. Also that for fixed one approaches the deep inelastic domain by increasing v. 

Aside from the energy of the initial lepton, the cross-sections etc. can be taken to depend on any two of the variables u, M. In practice other variables are often used. The most important are 1 q2 p.q 

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In Chapters 15 and 16 we developed the theory of deep inelastic scattering from a very general point of view, using the general structure of the cross-section in terms of the three scaling functions Fj x). FVom their experimental behaviour we were led to the quark-parton picture in which a virtual photon, or emitted at the lepton vertex interacts with a quark or antiquark in the target hadron. At the level of the simple... 

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