Bound-state wave functions at rest in describing deep inelastic scattering
Creators
- 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
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 22049314
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; BOUND STATE; DEEP INELASTIC SCATTERING; EIGENSTATES; ELECTRON-NEUTRON INTERACTIONS; ELECTRON-PROTON INTERACTIONS; FEYNMAN DIAGRAM; FINAL-STATE INTERACTIONS; HAMILTONIANS; IMPULSE APPROXIMATION; PARTICLE STRUCTURE; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; QUARK-QUARK INTERACTIONS; SERIES EXPANSION; SPIN ORIENTATION; STRUCTURE FUNCTIONS; WAVE FUNCTIONS
- Descriptors DEC
- DIAGRAMS; ELECTRON-NUCLEON INTERACTIONS; FIELD THEORIES; FUNCTIONS; INELASTIC SCATTERING; INFORMATION; INTERACTIONS; LEPTON-BARYON INTERACTIONS; LEPTON-HADRON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; MATHEMATICAL OPERATORS; ORIENTATION; PARTICLE INTERACTIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SCATTERING