Two-fermion relativistic bound states in Light-Front Dynamics
M. Mangin-Brinet, J. Carbonell, V. A. Karmanov
TL;DR
This paper develops and solves wave function equations for two-fermion bound states in Light-Front Dynamics, providing analytical interaction kernels for various boson exchanges and comparing relativistic results with non-relativistic ones.
Contribution
It introduces analytical expressions for interaction kernels in Light-Front Dynamics for different boson exchanges and analyzes their unique features.
Findings
Analytical kernels for scalar, pseudoscalar, pseudovector, and vector exchanges.
Comparison shows relativistic solutions differ from non-relativistic ones.
Distinct features observed for each type of coupling.
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.
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