skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Deep inelastic scattering on the deuteron in the Bethe-Salpeter formalism: Scalar meson exchange

Abstract

The deep inelastic scattering on the deuteron is considered in a fully covariant field theoretical approach. All calculations are performed in the Bethe-Salpeter formalism and the Wilson operator product expansion method within an effective meson-nucleon theory. By the operator product expansion method we obtain an explicit form of the nucleon contribution and mesonic exchange corrections to moments of the deuteron structure function [ital F][sub 2][sup [ital D]]. The structure function of the deuteron is recovered by the inverse Mellin transform of the moments and is presented as the sum of two convolution terms, viz. the nucleonic (relativistic impulse approximation) and mesonic (contribution of the meson exchange currents) ones. The sum rules for the baryon number and energy-momentum of the deuteron are derived using the normalization condition of the Bethe-Salpeter amplitude and virial theorem of field theory. The numerical estimates of the nuclear effects in the deuteron structure function in the Bethe-Salpeter formalism are also presented. It is found that the binding effects of the nucleons are significant and relativistic calculations within the Bethe-Salpeter formalism are compared with the previous nonrelativistic estimates.

Authors:
;  [1]
  1. Theoretical Physics Institute, Physics Department, University of Alberta, Edmonton, Alberta, T6G2J1 (Canada) TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T2A3 (Canada)
Publication Date:
OSTI Identifier:
5073559
Resource Type:
Journal Article
Journal Name:
Physical Review, C (Nuclear Physics); (United States)
Additional Journal Information:
Journal Volume: 49:5; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DEUTERIUM TARGET; LEPTON REACTIONS; BETHE-SALPETER EQUATION; DEEP INELASTIC SCATTERING; BARYON NUMBER; IMPULSE APPROXIMATION; MELLIN TRANSFORM; MESON-NUCLEON INTERACTIONS; QUANTUM CHROMODYNAMICS; SCALAR MESONS; SCATTERING AMPLITUDES; STRUCTURE FUNCTIONS; SUM RULES; AMPLITUDES; BOSONS; ELEMENTARY PARTICLES; EQUATIONS; FIELD THEORIES; FUNCTIONS; HADRON-HADRON INTERACTIONS; HADRONS; INELASTIC SCATTERING; INTEGRAL TRANSFORMATIONS; INTERACTIONS; LEPTON-BARYON INTERACTIONS; LEPTON-HADRON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; MESON-BARYON INTERACTIONS; MESONS; NUCLEAR REACTIONS; PARTICLE INTERACTIONS; QUANTUM FIELD THEORY; SCATTERING; TARGETS; TRANSFORMATIONS; 663300* - Nuclear Reactions & Scattering, General- (1992-); 662330 - Photon & Charged-Lepton Interactions with Hadrons- (1992); 662390 - Electromagnetic Processes & Properties- (1992-); 663420 - Lepton-Induced Reactions & Scattering- (1992-)

Citation Formats

Umnikov, A Y, and Khanna, F C. Deep inelastic scattering on the deuteron in the Bethe-Salpeter formalism: Scalar meson exchange. United States: N. p., 1994. Web. doi:10.1103/PhysRevC.49.2311.
Umnikov, A Y, & Khanna, F C. Deep inelastic scattering on the deuteron in the Bethe-Salpeter formalism: Scalar meson exchange. United States. https://doi.org/10.1103/PhysRevC.49.2311
Umnikov, A Y, and Khanna, F C. Sun . "Deep inelastic scattering on the deuteron in the Bethe-Salpeter formalism: Scalar meson exchange". United States. https://doi.org/10.1103/PhysRevC.49.2311.
@article{osti_5073559,
title = {Deep inelastic scattering on the deuteron in the Bethe-Salpeter formalism: Scalar meson exchange},
author = {Umnikov, A Y and Khanna, F C},
abstractNote = {The deep inelastic scattering on the deuteron is considered in a fully covariant field theoretical approach. All calculations are performed in the Bethe-Salpeter formalism and the Wilson operator product expansion method within an effective meson-nucleon theory. By the operator product expansion method we obtain an explicit form of the nucleon contribution and mesonic exchange corrections to moments of the deuteron structure function [ital F][sub 2][sup [ital D]]. The structure function of the deuteron is recovered by the inverse Mellin transform of the moments and is presented as the sum of two convolution terms, viz. the nucleonic (relativistic impulse approximation) and mesonic (contribution of the meson exchange currents) ones. The sum rules for the baryon number and energy-momentum of the deuteron are derived using the normalization condition of the Bethe-Salpeter amplitude and virial theorem of field theory. The numerical estimates of the nuclear effects in the deuteron structure function in the Bethe-Salpeter formalism are also presented. It is found that the binding effects of the nucleons are significant and relativistic calculations within the Bethe-Salpeter formalism are compared with the previous nonrelativistic estimates.},
doi = {10.1103/PhysRevC.49.2311},
url = {https://www.osti.gov/biblio/5073559}, journal = {Physical Review, C (Nuclear Physics); (United States)},
issn = {0556-2813},
number = ,
volume = 49:5,
place = {United States},
year = {1994},
month = {5}
}