Abstract:
The method of single-time reduction of the Bethe–Salpeter formalism for two-fermion systems developed in [8] is used to obtain analytic expressions for the potentials of quark–quark and quark–antiquark interactions in quantum chromodynamics in the approximation of one-gluon exchange. The asymptotic properties of the quark–quark forces in the configuration space are investigated. A dynamical equation is obtained for the wave function of a meson as a bound state of a quark and an antiquark in the approximation of one-gluon exchange.
Citation:
A. A. Arkhipov, “One-gluon exchange approximation for the quasipotential of two-quark interaction in quantum chromodynamics”, TMF, 83:3 (1990), 358–373; Theoret. and Math. Phys., 83:3 (1990), 591–601
This publication is cited in the following 4 articles:
Yu. A. Grishechkin, V. N. Kapshai, “Coupled S-States OF Relativistic Two-Particle Systems WITH Energy-Dependent Single Boson Exchange Potentials”, Russ Phys J, 56:12 (2014), 1407
E. A. Dei, V. N. Kapshai, N. B. Skachkov, “Three-dimensional covariant one-time equations for a system of $n$ spinor particles”, Theoret. and Math. Phys., 101:1 (1994), 1207–1217
A. A. Arkhipov, “Asymptotic freedom and one-time reduction in quantum chromodynamics”, Theoret. and Math. Phys., 90:2 (1992), 127–138
A. A. Arkhipov, “Infrared singularities of gluon Green's functions and two-quark interaction quasipotential in quantum chromodynamics”, Theoret. and Math. Phys., 86:1 (1991), 36–49
Citation in format AMSBIB
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