Abstract
The equation for the Bethe-Salpeter Green's function in the case of two scalar quarks interacting via the exchange of a scalar particle of zero mass is transformed to an algebraic equation with the help of the dynamical group SO(5, 2). From this equation a one-parameter integral representation of the Green's function is obtained in the case of maximal binding, and from this representation the Green's function is calculated in terms of a hypergeometric function. The equation for the f-dimensional nonrelativistic Coulomb Green's function is also transformed to an algebraic equation.
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