No abstract

Superscaling analyses of few-GeV inclusive electron scattering from nuclei are extended to include not only quasielastic processes, but also the region where excitation dominates. With reasonable assumptions about the basic nuclear scaling function extracted from data and information from other studies of the relative roles played by correlation and meson-exchange-current effects, it is shown that the residual strength in the resonance region can be accounted for through an extended scaling analysis. One observes scaling upon assuming that the elementary cross section by which one divides the residual to obtain a new scaling function is dominated by the N → transition and employing a new scaling variable suited to the resonance region. This yields a good representation of the electromagnetic response in both the quasielastic and regions. The scaling approach is then inverted and predictions are made for charge-changing neutrino reactions at energies of a few GeV, with focus placed on nuclei that are relevant to neutrino oscillation measurements. For this, a relativistic treatment of the required weak interaction vector and axial-vector currents for both quasielastic and -excitation processes is presented.

We investigate the degree to which the concept of superscaling, initially developed within the framework of the relativistic Fermi gas model, applies to inclusive electron scattering from nuclei. We find that data obtained from the low energy loss side of the quasielastic peak exhibit the superscaling property, i.e. the scaling functions f (ψ ′ ) are not only independent of momentum transfer (the usual type of scaling: scaling of the first kind), but coincide for A ≥ 4 when plotted versus a dimensionless scaling variable ψ ′ (scaling of the second kind). We use this behavior to study as yet poorly understood properties of the inclusive response at large electron energy loss.

No abstract

We investigate the degree to which the scaling functions f͑c 0 ͒ derived from inclusive electronnucleus quasielastic scattering define the same function for different nuclei. In the region where the scaling variable c 0 , 0, we find that this superscaling is experimentally realized to a high degree. [S0031-9007(99)08962-0] PACS numbers: 25.30.Fj, 21.90. + f, 25.30.Rw The use of scaling and the application of dimensional analysis to inclusive scattering of a weakly interacting probe from the constituents of a composite system have been important tools in gaining new insights into physics. Examples include the scattering of keV electrons from electrons bound in atoms [1], scattering of eV neutrons from atoms in solids or liquids [2], deep inelastic scattering of GeV leptons from the quarks in the nucleon [3], and, of particular interest here, quasielastic scattering of electrons in the energy range of hundreds of MeV to several GeV from nucleons in nuclei [4]. Despite the extraordinary kinematical range for which scaling has been studied, the conceptual basis for describing this phenomenon has many common features.