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

Journal Article · Sun May 01 00:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.49.2311· OSTI ID:5073559

Umnikov, A Y; Khanna, F C ^[1]

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1. Theoretical Physics Institute, Physics Department, University of Alberta, Edmonton, Alberta, T6G2J1 (Canada) TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T2A3 (Canada)

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.

• OSTI ID: 5073559
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 49:5; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

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-)