Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-10-08
Phys.Lett. B426 (1998) 139-148
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, LaTeX-file (article.sty)
Scientific paper
10.1016/S0370-2693(98)00259-7
Bound q\bar q -systems are considered in the framework of three different versions of the 3-dimensional reduction of the Bethe-Salpeter equation, all having the correct one-body limit when one of the constituent quark masses tends to infinity, and in the framework of the Salpeter equation. The spin structure of confining qq interaction potential is taken in the form x\gamma_{1}^{0}\gamma_{2}^{0}+(1-x)I_{1}I_{2}, with 0 \leq x \leq 1. The problem of existence (nonexistence) of stable solutions of 3-dimensional relativistic equations for bound q\bar q systems is studied for different values of x from this interval. Some other aspects of this problem are discussed.
Babutsidze T.
Kopaleishvili Teimuraz
Rusetsky Akaki
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