Bethe-Salpeter approach with the separable interaction for the deuteron

Abstract

Recent developments of the covariant Bethe-Salpeter (BS) approach with the use of the separable interaction for the deuteron are reviewed. It is shown that the BS formalism allows a covariant description of various electromagnetic reactions like the lepton-deuteron scattering, deuteron electro-disintegration, deep inelastic scattering (DIS) of leptons on light nuclei. The procedure of the construction of the separable nucleon-nucleon (NN) interaction is discussed. The BS formalism facilitates analysis of the role of the P-waves (negative energy components) in the electromagnetic properties of the deuteron and its comparison with the nonrelativistic results. Furthermore the covariant BS approach makes it possible to analyze DIS of leptons from the deuteron in a model independent way and to extend the formalism to DIS reactions on the light nuclei.

87 pages, 20 figures, to be published in Prog.Part.Nucl.Phys. v.48, no.2

References in corpus (1)

• The nucleon-nucleon interaction

Cited by in corpus (28)

• Solving Bethe-Salpeter equation in Minkowski space
• Quantitative studies of the homogeneous Bethe-Salpeter Equation in Minkowski space
• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• Electromagnetic form factor via Bethe-Salpeter amplitude in Minkowski space
• Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors
• Two-fermion relativistic bound states in Light-Front Dynamics
• Covariant relativistic separable kernel approach for electrodisintegration of the deuteron at high momentum transfer
• Relativistic multirank interaction kernels of the neutron-proton system
• Nucleon form factors for the elastic electron-deuteron scattering at high momentum transfer
• A possible way for constructing generators of the Poincare group in quantum field theory
• Nuclear Parton Distributions
• Bethe-Salpeter equation in Minkowski space with cross-ladder kernel
• Covariant separable interaction for the neutron-proton system in ${}^3{S}_1$-${}^3{D}_1$ partial-wave state
• Estimating Mass of Sigma-Meson and Study on Application of the Linear Sigma-Model
• Final state interaction effects in electrodisintegration of the deuteron within the Bethe-Salpeter approach
• Bethe-Salpeter equation with cross-ladder kernel in Minkowski and Euclidean spaces
• Relativistic rank-one separable kernel for helium-3 charge form factor
• Deuteron wave function for Reid93 potential and polarization observables in elastic lepton-deuteron scattering
• One-rank interaction kernel of the two-nucleon system for medium and high energies
• Relating the proton, neutron and deuteron structure functions in the covariant Bethe-Salpeter formalism
• Relativistic three-nucleon calculations within the Bethe-Salpeter approach
• The rank-one separable interaction kernel for nucleon with scalar propagators
• The relativistic impulse approximation for the exclusive electrodisintegration of the deuteron
• Relation between the separable and one-boson-exchange potential for the covariant Bethe-Salpeter equation
• Sensitivity of elastic electron scattering off the 3He to the nucleon form factors
• Relativistic complex separable potential for describing the neutron-proton system in ${}^3{S}_1$-${}^3{D}_1$ partial-wave state
• Separable Kernel of Nucleon-Nucleon Interaction in the Bethe-Salpeter Approach for J=0,1
• On the Relativistic Separable Functions for the Breakup Reactions