Published 1987 | Version v1
Report

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).

Optional Information

Notes
6 refs.; 2 figs. Imprint:Trudy 8. Mezhdunarodnogo soveshchaniya po problemam kvantovoj teorii polya.