ar X iv : n uc l - th / 9 81 20 78 v 1 3 1 D ec 1 99 8 Nuclear y and x scaling ⋆
نویسنده
چکیده
The exact expression of the nuclear structure function describing inclusive lepton scattering off nuclei is recalled, and the basic approximations leading to nonrelativistic and relativistic nuclear y and x scaling, are illustrated. The general and systematic features of y-scaling structure functions are pointed out, and a recently proposed novel approach to y-scaling, based on a global scaling variable, yG, which incorporates the effect of the momentum dependence of the nucleon removal energy, and therefore allows the establishment of a direct link between scaling functions and momentum distributions, is illustrated and applied to the analysis of a large body of data, pertaining to nuclei ranging from the deuteron to Nuclear Matter. A new type of scaling phenomenon, the nuclear x-scaling, based on a proper analysis of nuclear quasi-elastic data in terms of the Bjorken scaling variable xB, is shown to occur at high values of the four-momentum transfer Q; the usefulness of nuclear x scaling is pointed out. 1 The nuclear response in inclusive lepton-nucleus scattering In inclusive lepton scattering off nuclei, A(e, e)X , the nuclear response, or structure function, W (ν, q), which represents the deviation of the cross section from scattering from free nucleons, has the following exact form: W (ν, q) = ∫ +∞ −∞ dt 2π e q 2M )t < ψ0| Z
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