Nonlinear Phenomena in Complex Systems, 2018, Vol.21, No.2, pp.178

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2018, Vol.21, No.2, pp.178 - 187

Calculation of Masses Spectrum and Leptonic Widths of Mesons in the Relativistic Quasipotential Approach
Yu. D. Chernichenko and V. V. Kondratjuk

Three-dimensional relativistic two-particle equation in the relativistic configurational representation, obtained within the framework of completely covariant quasipotential approach in Hamiltonian formulation of the quantum field theory is used to describe the masses spectrum and leptonic decay widths of mesons. This quasipotential equation for the case of two particles of arbitrary masses is solved by the WKB approximation. A modified relativistic WKB quantization condition and the expression for the leptonic decay widths of mesons for the singular confining Coulomb-like quasipotential are obtained.

Key words: relativistic quasipotential approach, relativistic configurational representation, masses spectrum, leptonic decay widths

Full text: Acrobat PDF (199 KB)