Covariant formulation of relativistic Hamiltonian theory on the light cone

Atakishiev, N. M.; Mir‐Kasimov, R. M.; Nagiev, Sh. M.

doi:10.1007/bf01041430

Cited by 4 publications

(4 citation statements)

References 6 publications

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“…This contribution can be also derived from a counter term added to H int in order to get H int ω , as it was done for spin 1/2 in ref. [38]. Associating the crossed line to a fermion carrying the momentum l, we assign to this line the factor −ωθ(ω•l)/(2ω•l).…”

Section: Spin 1/2 Systemmentioning

confidence: 99%

“…The analytical expression for this diagram is given by (B.13). For this transformation, we first represent the Feynman propagator in the following form [122]: We suppose that all the external momenta are on the mass shells and, for convenience, ω•p > ω•l. The expression (B.17) contains 16 items.…”

Section: (B10)mentioning

confidence: 99%

“…4, which is obtained from fig.3 by deleting the spurion line and marking the internal line by a cross. This contribution can be also derived from a counter term added to H int in order to get H int ω , as it was done for spin 1/2 in ref [38]…”

mentioning

confidence: 99%

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Explicitly covariant light-front dynamics and relativistic few-body systems

Carbonell¹,

Desplanques²,

et al. 1998

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The wave function of a composite system is defined in relativity on a space-time surface. In the explicitly covariant light-front dynamics, reviewed in the present article, the wave functions are defined on the plane ω·x = 0, where ω is an arbitrary four-vector with ω 2 = 0. The standard non-covariant approach is recovered as a particular case for ω = (1, 0, 0, −1). Using the light-front plane is of crucial importance, while the explicit covariance gives strong advantages emphasized through all the review.The properties of the relativistic few-body wave functions are discussed in detail and are illustrated by examples in a solvable model. The three-dimensional graph technique for the calculation of amplitudes in the covariant light-front perturbation theory is presented.The structure of the electromagnetic amplitudes is studied. We investigate the ambiguities which arise in any approximate light-front calculations, and which lead to a non-physical dependence of the electromagnetic amplitude on the orientation of the lightfront plane. The elastic and transition form factors free from these ambiguities are found for spin 0, 1/2 and 1 systems.The formalism is applied to the calculation of the relativistic wave functions of twonucleon systems (deuteron, scattering state), with particular attention to the role of their new components in the deuteron elastic and electrodisintegration form factors and to their connection with meson exchange currents. Straigthforward applications to the pion and nucleon form factors and the ρ − π transition are also made. ,0 = − 2η(F 1 − ηF 2 + G 1 /2) + η/2B 6 ,(6.63)The matrix elementsJ 11 ,J 1−1 have the same form as J 11 , J 1−1 , whereasJ 10 ,J 00 differ from J 10 , J 00 by the items containing the nonphysical form factors B 5 , B 6 , B 7 . Other nonphysical form factors B 1−4 and B 8 do not contribute to these matrix elements.The matrix elementsJ λ ′ λ do not satisfy the condition (6.61). SubstitutingJ λ ′ λ in eq.(6.61) instead of J λ ′ λ , we get: ∆ ≡ (1 + 2η)J 11 +J 1−1 − 2 2ηJ 10 −J 00 = −(B 5 + B 7 ) .(6.64)

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Section: Spin 1/2 Systemmentioning

confidence: 99%

Section: (B10)mentioning

confidence: 99%

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Explicitly covariant light-front dynamics and relativistic few-body systems

Carbonell¹,

Desplanques²,

et al. 1998

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“…These variables were introduced by Dirac [53] with the aim to construct the quantum theory with canonical communication relations on the light front hyperplane (instead of traditionally used t = 0 hyperplane). We note that the real progress in this direction has been achieved much later [58]- [63].…”

Section: Light Front Formalism For Bound States 1 Equation For the Tw...mentioning

confidence: 89%

Light front formalism for composite systems and some of its applications in particle and relativistic nuclear physics

et al. 2008

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Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are reviewed. Elastic form factors in the impulse approximation are calculated. Scattering amplitudes for relativistic bound states are constructed. Some model cases for transition amplitudes are considered. Deep inelastic form factors (structure functions) are expressed through light front wave functions. It is shown that taking into account of transverse motion of partons leads to the violation of Bjorken scaling and structure functions become square of transverse momentum dependent. Possible explanation of the EMC-effect is given. Problem of light front relativization of wave functions of lightest nuclei is considered. Scaling properties of deuteron, 3 He and 4 He light front wave functions are checked in a rather wide energy range.

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Covariant three-dimensional formulation of the composite quark model of mesons

Skachkov¹,

Solovtsov²

1979

Theor Math Phys

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Covariant formulation of relativistic Hamiltonian theory on the light cone

Cited by 4 publications

References 6 publications

Explicitly covariant light-front dynamics and relativistic few-body systems

Explicitly covariant light-front dynamics and relativistic few-body systems

Light front formalism for composite systems and some of its applications in particle and relativistic nuclear physics

Covariant three-dimensional formulation of the composite quark model of mesons

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