Deep inelastic scattering on the deuteron in the BetheSalpeter 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 BetheSalpeter formalism and the Wilson operator product expansion method within an effective mesonnucleon 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 energymomentum of the deuteron are derived using the normalization condition of the BetheSalpeter amplitude and virial theorem of field theory. The numerical estimates of the nuclear effects in the deuteron structure function in the BetheSalpeter formalism are also presented. It is found that the binding effects of the nucleons are significant and relativistic calculations within the BetheSalpeter formalism are compared with the previous nonrelativistic estimates.
 Authors:

 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 05562813
 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; BETHESALPETER EQUATION; DEEP INELASTIC SCATTERING; BARYON NUMBER; IMPULSE APPROXIMATION; MELLIN TRANSFORM; MESONNUCLEON INTERACTIONS; QUANTUM CHROMODYNAMICS; SCALAR MESONS; SCATTERING AMPLITUDES; STRUCTURE FUNCTIONS; SUM RULES; AMPLITUDES; BOSONS; ELEMENTARY PARTICLES; EQUATIONS; FIELD THEORIES; FUNCTIONS; HADRONHADRON INTERACTIONS; HADRONS; INELASTIC SCATTERING; INTEGRAL TRANSFORMATIONS; INTERACTIONS; LEPTONBARYON INTERACTIONS; LEPTONHADRON INTERACTIONS; LEPTONNUCLEON INTERACTIONS; MESONBARYON INTERACTIONS; MESONS; NUCLEAR REACTIONS; PARTICLE INTERACTIONS; QUANTUM FIELD THEORY; SCATTERING; TARGETS; TRANSFORMATIONS; 663300*  Nuclear Reactions & Scattering, General (1992); 662330  Photon & ChargedLepton Interactions with Hadrons (1992); 662390  Electromagnetic Processes & Properties (1992); 663420  LeptonInduced Reactions & Scattering (1992)
Citation Formats
Umnikov, A Y, and Khanna, F C. Deep inelastic scattering on the deuteron in the BetheSalpeter 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 BetheSalpeter 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 BetheSalpeter 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 BetheSalpeter 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 BetheSalpeter formalism and the Wilson operator product expansion method within an effective mesonnucleon 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 energymomentum of the deuteron are derived using the normalization condition of the BetheSalpeter amplitude and virial theorem of field theory. The numerical estimates of the nuclear effects in the deuteron structure function in the BetheSalpeter formalism are also presented. It is found that the binding effects of the nucleons are significant and relativistic calculations within the BetheSalpeter 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 = {05562813},
number = ,
volume = 49:5,
place = {United States},
year = {1994},
month = {5}
}