No abstract

We study the nonrelativistic response of a "diquark" bound by confining forces, for which perturbation theory in the interaction fails. As nonperturbative alternatives we consider the Gersch-Rodriguez-Smith (GRS) theory and a summation method. We show that, contrary to the case of singular repulsive forces, the GRS theory can generally be applied to confined systems. When expressed in the GRS-West kinematic variable y, the response has a standard asymptotic limit and calculable dominant corrections of orders 1/q, 1/q . That theory therefore clearly demonstrates how constituents, confined before and after the absorption of the transferred momentum and energy, behave as asymptotically free particles. We compare the GRS results with those of a summation method for harmonic and square-well confinement and also discuss the convergence of the GRS series for the response in powers of 1/q. PACS number(s): 12.38.Lg, 12.40. Qq

We compute cross sections for inclusive scattering of high energy electrons on 4 He, based on the two lowest orders of the Gersch-Rodriguez-Smith (GRS) series. The required one-and two-particle density matrices are obtained from non-relativistic 4 He wave functions using realistic models for the nucleon-nucleon and three-nucleon interaction. Predictions for E=3.6 GeV agree well with the NE3 SLAC-Virginia data. 25.30.Fj, 13.60.Hb

We compare recent CEBAF data on inclusive electron scattering of 4.05GeV electrons on nuclei with predictions, based on a relation between structure functions (SF) of a nucleus, a nucleon and a nucleus of point-nucleons.The latter contains nuclear dynamics, e.g. binary collision contributions in addition to the asymptotic limit. The agreement with data is good, except in low-intensity regions. Computed ternary collision contributions appear too small for an explanation. We perform scaling analyses in Gurvitz's scaling variable and found that for y G ≷ 0, ratios of scaling functions for pairs of nuclei differ by less than 15-20% from 1. Scaling functions for y G < 0 are, for increasing Q 2 , shown to approach a plateau from above. We observe only weak Q 2 -dependence in FSI, which in the relevant kinematic region is ascribed to the diffractive nature of N N amplitudes appearing in FSI. This renders it difficult to separate asymptotic from FSI parts and seriously hampers the extraction of n(p) from scaling analyses in a model-independent fashion.

No abstract