Deep inelastic scattering in formalism with wave functions of rest compound system
- 1. Joint Inst. for Nuclear Research, Dubna (USSR)
- 2. AN Gruzinskoj SSR, Tbilisskij Matematicheskij Inst.
Description
One of the most simple examples of interaction of compound systems: deep inelastic scattering of the point particle on hadron is considered. By choosing the compound particle (hadron) rest system the corresponding cross section is expressed in terms of more usual from the view point of nonrelativistic quantum mechanics wave functions of the rest bound state. A new variant of structure functions expansion into a series in terms of the coupling constant is suggested. Each therm of a series due to correct account of the energy conservation law in any order of the perturbation theory possess spectral property. Analysis in QCD shows that in the bound state rest system (P-vector=0) the pulse approximation though satisfies the requirements of scale invariance is insufficient for correct description of elastic limit xBj→1 by contrast to PZ→∞ system. It means that parton model is equivalent to pulse approximation only in PZ→∞ system. To obtain the leading in asymptotic region xBj→1 terms account of component interaction in the finite state is necessary. The simplicity and physical evidence of the wave functions are attained due to the seeming complication of calculations according to the perturbation theory
Additional details
Additional titles
- Original title (Russian)
- Глубоконеупругое рассеяние в формализме с волновыми функциями покоящихся составных систем
Publishing Information
- Imprint Title
- Proceedings of the 8. International conference on the problems of quantum field theory
- Journal Page Range
- p. 239-245.
- Report number
- JINR-D--2-87-798
Conference
- Title
- 8. Internal conference on the problems of quantum field theory.
- Dates
- 11-16 Oct 1987.
- Place
- Alushta (USSR).
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 20010316
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- BOUND STATE; COUPLING CONSTANTS; CROSS SECTIONS; DEEP INELASTIC SCATTERING; ELECTRONS; FOUR MOMENTUM TRANSFER; HAMILTONIANS; IMPULSE APPROXIMATION; LEPTON-HADRON INTERACTIONS; MATRIX ELEMENTS; PERTURBATION THEORY; STRUCTURE FUNCTIONS; UNITARITY; WAVE FUNCTIONS
- Descriptors DEC
- ELEMENTARY PARTICLES; FERMIONS; FUNCTIONS; INELASTIC SCATTERING; INTERACTIONS; LEPTON-BARYON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; LEPTONS; MATHEMATICAL OPERATORS; MOMENTUM TRANSFER; PARTICLE INTERACTIONS; QUANTUM OPERATORS; SCATTERING
Optional Information
- Notes
- 6 refs.; 2 figs. Imprint:Trudy 8. Mezhdunarodnogo soveshchaniya po problemam kvantovoj teorii polya.