Abstract.
A theoretical technique is developed for obtaining finite-energy numerical solutions to a class of two-body, bound-state Bethe-Salpeter equations in the ladder approximation when the constituent masses are unequal. The class of equations is restricted to those for which the Bethe-Salpeter equation can be written as a differential equation and to situations where the coupling constant is real. Such equations can result when the binding force is created by the exchange of a massless quanta. The theoretical technique is tested numerically by obtaining finite-energy solutions of the partially-separated Bethe-Salpeter equation describing the unequal-mass Wick-Cutkosky model in the ladder approximation.
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Received February 19, 1997; Revised April 2, 1998; accepted for publication October 30, 1998
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Mainland, G. Numerical Method for Solving Two-Body Bound-State Bethe-Salpeter Equations for Unequal Constituent Masses. Few-Body Systems 26, 27–41 (1999). https://doi.org/10.1007/s006010050104
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DOI: https://doi.org/10.1007/s006010050104