Published February 25, 2018 | Version v1
Journal article

Bound-state wave functions at rest in describing deep inelastic scattering

  • 1. AN Gruzinskoj SSR, Tbilisi (USSR). Inst. Matematiki

Description

The deep inelastic process of the lepton-hadron scattering is studied in the bound-state rest frame. A new version of expanding structure functions in interaction constant powers is proposed, each term in it having spectral properties. This expansion makes it possible to consider contributions of composites in the final state to the cross section. It is shown that, as compared with the system Pz→∞, the impulse approximation is insufficient for describing correctly the elastic limit in the composite particle rest frame. The leading asymptotics of structure functions as χBj→1 can be obtained by taking into account the interaction of contituents in the final state. It is shown that in contrast to the 'light-cone' formalism the ratio F2en(χ)/F2ep(χ) as χBj→1 depends on the explicit form of the spatial part of the nucleon wave function and, in particular, assuming the relativistic character of internal motion, it may be lower than the well-known prediction (i.e. 3/7). This is due to the correct consideration of spin degrees of freedom of the wave function of the nucleon at rest. (orig.)

Additional details

Publishing Information

Journal Title
Nuclear Physics, A
Journal Volume
523
Journal Issue
3/4
Series
Nucl. Phys., A.
Journal Page Range
597-613
ISSN
0375-9474
CODEN
NUPAB