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

Journal Article · Sun May 01 04:00:00 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), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 49:5; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

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663300* -- Nuclear Reactions & Scattering
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYON NUMBER
BETHE-SALPETER EQUATION
BOSONS
DEEP INELASTIC SCATTERING
DEUTERIUM TARGET
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
IMPULSE APPROXIMATION
INELASTIC SCATTERING
INTEGRAL TRANSFORMATIONS
INTERACTIONS
LEPTON REACTIONS
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
MELLIN TRANSFORM
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
NUCLEAR REACTIONS
PARTICLE INTERACTIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SCALAR MESONS
SCATTERING
SCATTERING AMPLITUDES
STRUCTURE FUNCTIONS
SUM RULES
TARGETS
TRANSFORMATIONS