NONRELATIVISTIC APPROXIMATION IN THE 2-BODY PROBLEM WITH INTERACTION THROUGH A NON-ABELIAN GAUGE FIELD

Authors
GOLOVIZNIN VV MOLODTSOV SV SNIGIREV AM
Citation
Vv. Goloviznin et al., NONRELATIVISTIC APPROXIMATION IN THE 2-BODY PROBLEM WITH INTERACTION THROUGH A NON-ABELIAN GAUGE FIELD, Physics of atomic nuclei, 56(6), 1993, pp. 782-797
Citations number
34
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields
Journal title
Physics of atomic nuclei → ACNP
ISSN journal
10637788
Volume
56
Issue
6
Year of publication
1993
Pages
782 - 797
Database
ISI
SICI code
1063-7788(1993)56:6<782:NAIT2P>2.0.ZU;2-I
Abstract
A study is made of the nonrelativistic approximation in the two-body p roblem, with an interaction through a non-Abelian gauge field for the case of the SU(2) group. It is shown that the problem can be reduced t o the solution of a system of quasilinear equations of elliptic type. The properties of the regular solutions are given. The behavior of the quark fields of the sources is considered in the self-consistent fiel d which is found. The results of numerical calculations are discussed. The two-body problem is analyzed on the basis of the resulting exact solutions.