Nonlinear Phenomena in Complex Systems, 2021, Vol.25, No.3, pp.276

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2022, Vol.25, No.3, pp.276 - 285

Semiclassical Quantization Condition of the Energy Levels for the Relativistic System of Two Fermions with Arbitrary Masses

Yu. D. Chernichenko

New semiclassical quantization conditions of the energy levels are obtained for the relativistic systems of two fermions of arbitrary masses interacting by means of the singular con.ning Coulomb-like potential. Quantization conditions of the energy levels were found for the pseudoscalar, vector, and pseudovector mesons. The present analysis was performed within the Hamiltonian formulation of quantum field theory via a transition to the relativistic con.guration representation for the case of two relativistic spin particles with arbitrary masses.

Key words: quantum chromodynamics, relativistic quasipotential approach, relativistic con.gurational representation, masses spectrum, system of two fermions

DOI: https://doi.org/10.33581/1561-4085-2022-25-3-276-285

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