Two-fermion relativistic bound states in Light-Front Dynamics

Abstract

In the Light-Front Dynamics, the wave function equations and their numerical solutions, for two fermion bound systems, are presented. Analytical expressions for the ladder one-boson exchange interaction kernels corresponding to scalar, pseudoscalar, pseudovector and vector exchanges are given. Different couplings are analyzed separately and each of them is found to exhibit special features. The results are compared with the non relativistic solutions.

40 pages, to be published in Phys. Rev. C, .tar.gz file

References in corpus (12)

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• The deuteron: structure and form factors
• Bethe-Salpeter approach with the separable interaction for the deuteron
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• Nucleon momentum distribution in deuteron and other nuclei within the light-front dynamics method
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• Deuteron binding energies and form factors from light front field theory
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Cited by in corpus (22)

• Heavy Quarkonium in a Holographic Basis
• Quarkonium as relativistic bound state on the light front
• Basis Light-Front Quantization Approach to Positronium
• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• Nonperturbative light-front Hamiltonian methods
• Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors
• Projecting the Bethe-Salpeter Equation onto the Light-Front and back: A Short Review
• Manifestation of three-body forces in three-body Bethe-Salpeter and light-front equations
• Two-Fermion Bound States within the Bethe-Salpeter Approach
• Light-front Ward-Takahashi Identity for Two-Fermion Systems
• Two-boson truncation of Pauli-Villars-regulated Yukawa theory
• Variational Worldline Approximation for the Relativistic Two-Body Bound State in a Scalar Model
• Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach
• Two fermion relativistic bound states
• The Nuclear Yukawa Model on a Lattice
• Quarkonium wave functions on the light front
• Non-perturbative Calculation of the Positronium Mass Spectrum in Basis Light-Front Quantization
• Three different approaches to the same interaction: the Yukawa model in nuclear physics
• Schwinger - Dyson equation and NJL approximation in massive gauge theory with fermions
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• Bound states in Yukawa theory
• Solution of the Bethe-Salpeter equation in Minkowski space for a two fermion system