Electromagnetic form factors in the light-front formalism and the Feynman triangle diagram: spin-0 and spin-1 two-fermion systems

Abstract

The connection between the Feynman triangle diagram and the light-front formalism for spin-0 and spin-1 two-fermion systems is analyzed. It is shown that in the limit q+ = 0 the form factors for both spin-0 and spin-1 systems can be uniquely determined using only the good amplitudes, which are not affected by spurious effects related to the loss of rotational covariance present in the light-front formalism. At the same time, the unique feature of the suppression of the pair creation process is maintained. Therefore, a physically meaningful one-body approximation, in which all the constituents are on their mass-shells, can be consistently formulated in the limit q+ = 0. Moreover, it is shown that the effects of the contact term arising from the instantaneous propagation of the active constituent can be canceled out from the triangle diagram by means of an appropriate choice of the off-shell behavior of the bound state vertexes; this implies that in case of good amplitudes the Feynman triangle diagram and the one-body light-front result match exactly. The application of our covariant light-front approach to the evaluation of the rho-meson elastic form factors is presented.

arXiv commentcorrected typos in the references

References in corpus (28)

• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Covariant and ligth-front approaches to the rho-meson eletromagnetic form factors
• Electromagnetic form factors of the $\rho$ meson in a light-front constituent quark model
• Rare exclusive semileptonic b -> s transitions in the Standard Model
• Form Factors of Meson Decays in the Relativistic Constituent Quark Model
• Hard Constituent Quarks and Electroweak Properties of Pseudoscalar Mesons
• SU(6) breaking effects in the nucleon elastic electromagnetic form factors
• Regularizing the Divergent Structure of the Light-Front Currents
• Charge form factor of $\pi$ and $K$ mesons
• Pion Eletromagnetic Current in the Ligth-Cone Formalism
• Probing right-handed currents in B -> K* l+ l- transitions
• Lepton asymmetries in exclusive $b\to s{\ell }^{+}{\ell }^{-}$ decays as a test of the Standard Model
• Heavy quark expansion and universal form factors in quark model
• Weak Decay Form Factors of Heavy Pseudoscalar Mesons within a Light-Front Constituent Quark Model
• Kaon electroweak form factors in the light-front quark model
• Rare decays B -> (K, K*) (l+ l-, nu bar{nu}) in the quark model
• Electromagnetic $N-\Delta$ transition form factors in a light-front constituent quark model
• Right-handed currents in rare exclusive B -> (K, K*) nu bar{nu} decays
• Covariance of Light-Front Models: Pair Current
• Equivalence of renormalized covariant and light-front perturbation theory: I. Longitudinal divergences in the Yukawa model
• A light-front description of electromagnetic form factors for $J\le 3/2$ hadrons
• Equivalence of renormalized covariant and light-front perturbation theory: II. Transverse divergences in the Yukawa model
• Semileptonic decays $B\to (\pi ,\rho )e\nu$ in relativistic quark model
• Calculation of the Isgur-Wise function from a light-front constituent quark model
• Restoration of rotational invariance of bound states on the light front
• Exclusive semileptonic decays of heavy mesons in quark model
• Light-front CQM calculations of baryon electromagnetic form factors
• Quark-binding effects in inclusive decays of heavy mesons

Cited by in corpus (33)

• Electromagnetic Structure of the $\rho$ Meson in the Light-Front Quark Model
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• Covariant Light-Front Approach for B to K* gamma, K_1 gamma, K*_2 gamma Decays
• Possible evidence of extended objects inside the proton
• Magnetic properties of ground-state mesons
• Pion and kaon elastic form factors in a refined light-front model
• Radiative transitions between $0^{-+}$ and $1^{--}$ heavy quarkonia on the light front
• The radius of the rho meson determined from its decay constant
• Relativistic Instant--Form Approach To The Structure Of Two-Body Composite Systems. Nonzero Spin
• Relativistic Instant--Form Approach to the Structure of Two-Body Composite Systems. II. Nonzero Spin
• Rho meson form factors in a confining Nambu--Jona-Lasinio model
• The Light-Front Zero-Mode Contribution to the Good Current in Weak Transition
• Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics
• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
• Comparison among Hamiltonian light-front formalisms at q+ = 0 and q+ <> 0: space-like elastic form factors of pseudoscalar and vector mesons
• Possible evidence of extended objects inside the proton
• Electromagnetic form factors of pion and rho in the three forms of relativistic kinematics
• Pseudoscalar mesons with symmetric bound state vertex functions on the light front
• Investigating The Physics Case of Running a B-Factory at the Y(5S) Resonance
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• Frame dependence of transition form factors in light-front dynamics
• Unambiguous Extraction of the Electromagnetic Form Factors for Spin-1 Particles on the Light-Front
• Rho-meson properties in medium
• Electromagnetic Properties of Few-Body Systems Within a Point-Form Approach
• Spectroscopic parameters and electromagnetic form factor of kaon in vacuum and a dense medium
• End-point singularities of Feynman graphs on the light cone
• Longitudinal structure function of the proton at low momentum transfer and extended constituents
• A novel approach to light-front perturbation theory
• Zero Modes in Electromagnetic Form Factors of the Nucleon in a Light-Cone Diquark Model
• Pseudoscalar current and covariance with the light-front approach
• Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints
• Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory
• Covariant form factors for spin-1 particles