V. A. Karmanov

The Covariant structure of light front wave functions and the behavior of hadronic form-factors

We study the analytic structure of light-front wave functions (LFWFs) and its consequences for hadron form factors using an explicitly Lorentz-invariant formulation of the front form. The normal to the light front is specified by a general null vector

Solving the Bethe-Salpeter equation for two fermions in Minkowski space

{\ensuremath{\omega}}^{\ensuremath{\mu}}.

Electromagnetic form factor via Bethe-Salpeter amplitude in Minkowski space

The LFWFs with definite total angular momentum are eigenstates of a kinematic angular momentum operator and satisfy all Lorentz symmetries. They are analytic functions of the invariant mass squared of the constituents

Ab initio nonperturbative calculation of physical observables in light-front dynamics. Application to the Yukawa model

{M}_{0}^{2}=(\ensuremath{\sum}{k}^{\ensuremath{\mu}}{)}^{2}

Solutions of the Bethe–Salpeter Equation in Minkowski Space and Applications to Electromagnetic Form Factors

and the light-cone momentum fractions

Elastic and inelastic scattering of low energy antiprotons from 12C and 16O nuclei

{x}_{i}{=k}_{i}\ensuremath{\cdot}\ensuremath{\omega}/p\ensuremath{\cdot}\ensuremath{\omega}

Manifestation of Three-Body Forces in Three-Body Bethe–Salpeter and Light-Front Equations

multiplied by invariants constructed from the spin matrices, polarization vectors, and

Relativistic bound states in the Yukawa model

{\ensuremath{\omega}}^{\ensuremath{\mu}}.

Bethe–Salpeter scattering amplitude in Minkowski space

These properties are illustrated using known nonperturbative eigensolutions of the Wick-Cutkosky model. We analyze the LFWFs introduced by Chung and Coester to describe static and low momentum properties of the nucleons. They correspond to the spin locking of a quark with the spin of its parent nucleon, together with a positive-energy projection constraint. These extra constraints lead to an anomalous dependence of form factors on Q rather than

Stability of bound states in the light-front Yukawa model

{Q}^{2}.