This article is cited in 9 papers

Radial quasipotential equation for a fermion and antifermion and infinitely rising central potentials

A. A. Khelashvili


Abstract: Radial equations for a system consisting of a fermion and an antifermion are derived in the quasipotential approach, and the asymptotic behavior of the radial wave functions in the limit $r\to\infty$ for infinitely rising central quasipotentials is investigated. The analogy with the Dirac equation in an external field is studied and it is shown that a confinement type solution is realized only in the presence of a scalar potential. A picture closest to that of the Schrödinger equation is realized if the quasipotential is an equal mixture of a scalar and the fourth component of a vector. The behavior near pole singularities is also investigated.

Received: 11.03.1981

 English version: Theoretical and Mathematical Physics, 1982, 51:2, 447–453

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