Deep inelastic reaction

The probability of fusion is a sensitive function of the product of the atomic numbers of the colliding ions. The abrupt decline of the fusion cross section as the Coulomb force between the ions increases is due to the emergence of the deep inelastic reaction mechanism. This decline and other features of the fusion cross section can be explained in terms of the potential between the colliding ions. This potential consists of three contributions, the Coulomb potential, the nuclear potential, and the centrifugal potential. The variation of this potential as a function of the angular momentum l and radial separation is shown as Figure 10.26. 

Although irrelevant for most electrodynamic processes, but, in fact, important in deep inelastic reactions (see Section 16.8), we can consider, within the realm of QED, the following axial-vector current... 

If then the nucleon is composed of point-like spin-half constituents (par-tons) and if the structure fimctions for deep inelastic reactions can be viewed as built up from an incoherent sum of elastic scatterings of the virtual photon on these constituents, as shown in Fig. 16.1, then we shall find a dependence upon only the variable Q fu as desired. 

Was there an alternative Would it help to offer a projectile with far more protons and neutrons than what was required to fill the gap between target and superheavy nuclei In deep-inelastic reactions, massive projectile and target nuclei... 

The classification scheme in O Fig. 3.35 becomes simplified for lighter projectiles, for which fusion and simple surface reactions are the principal exit chaimels at low relative bombarding energies. For very heavy projectiles, the damped-collision (deep-inelastic)... 

The parton picture can be extended to cover the deep inelastic neutrino induced reactions in an obvious way. If we allow the gauge bosons to couple to a partqn of type j through a current which is generically of the form "fniXy — A 75), then the analogue of (16.1.2) is... 

The quark-paxton model was developed in great detail in the previous chapter. Here we discuss the experimental situation and confront the theory with the vast amoimt of data on deep inelastic scattering and related reactions. It must be borne in mind that we have not yet discussed the QCD corrections to the model. These are not small, but their dominant effect can be taken into account by allowing the parton number densities to depend upon in a way calculable in QCD, so that, fortuitously, the entire formalism is basically unchanged, except that each qj x) —> qj x,Q ). As mentioned earlier this implies a dynamical breaking of perfect Bjorken scaling. It also implies that if one is seeking accurate information about the qj x) from experiment then care must be taken to specify the involved. 

If we consider reactions initiated in pp collisions we recognize in (17.4.28) the distributions xqj x),xqj x) that appeared in the formulae for the deep inelastic structure function F2(x) [see (16.1.7)]. If these are known from the study of deep inelastic scattering, then the Drell-Yan cross-section is completely determined. There are difficulties, however, that we shall discuss later. 

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